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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1379612</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2024.1379612</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>RETRACTED: Energy e-commerce user portrait and multi-agent cooperative game price mechanism design</article-title>
<alt-title alt-title-type="left-running-head">Yang et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenrg.2024.1379612">10.3389/fenrg.2024.1379612</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Biao</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Suwei</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gao</surname>
<given-names>Hongda</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2657333/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
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<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<institution>State Grid Energy Research Institute Co., LTD.</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2419212/overview">Zening Li</ext-link>, Taiyuan University of Technology, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1848520/overview">Lirong Deng</ext-link>, Shanghai University of Electric Power, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2243330/overview">Zhenjia Lin</ext-link>, Hong Kong Polytechnic University, Hong Kong, SAR China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Hongda Gao, <email>ghd2612@163.com</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>22</day>
<month>05</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="eretracted">
<day>12</day>
<month>11</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1379612</elocation-id>
<history>
<date date-type="received">
<day>31</day>
<month>01</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>21</day>
<month>03</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Yang, Liu and Gao.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Yang, Liu and Gao</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>With the development of big data, our lives have gradually entered the information age, which has changed and reshaped the behavior of enterprises and consumers. In this paper, a user portrait clustering model based on big data is proposed to implement business model design for specific groups after clustering, target potential user groups for active marketing, and promote actual purchase behavior. In this paper, cost, risk, and contribution factors are introduced to improve the basic cooperative game allocation method. The improved model considers the operating cost of the main body, the level of risk, and the contribution proportion of the actual energy supply. In order to verify the effectiveness and applicability of the benefit distribution strategy based on the cooperative game proposed by the project, the research results provide a certain reference for precision marketing in relevant industries and enterprises.</p>
</abstract>
<kwd-group>
<kwd>customer habit</kwd>
<kwd>business modes</kwd>
<kwd>market forecasting</kwd>
<kwd>game theory</kwd>
<kwd>big data</kwd>
</kwd-group>
<contract-sponsor id="cn001">State Grid Corporation of China<named-content content-type="fundref-id">10.13039/501100010880</named-content>
</contract-sponsor>
<counts>
<page-count count="10"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Sustainable Energy Systems</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The definition of &#x201c;new retail&#x201d; in the realm of e-commerce aims to build an offline channel and seamlessly combine it into the existing online retail channel (<xref ref-type="bibr" rid="B13">Wang et al., 2020a</xref>). The industry emphasizes leveraging technological advancements to optimize the retail experience and meet evolving consumer demands (<xref ref-type="bibr" rid="B9">Mahadevan, 2004</xref>). Information technology encompassing big data, virtual reality, and artificial intelligence is poised to revolutionize the landscape and trajectory of the new retail business. Scholars emphasize that the essence of new retail is integrating online and offline channels, satisfying the complex needs of customers, striking equilibrium between personalization and privacy, and optimizing the supply chain network (<xref ref-type="bibr" rid="B20">Zhang, 2021</xref>). Studies indicate that online channels can significantly boost sales, reduce costs, optimize inventory management, and enhance return on investment (ROI) for individual industries. Furthermore, the harmonious combination of offline and online retail channels is beneficial for enterprises, fostering collaboration rather than competition (<xref ref-type="bibr" rid="B1">Amit and Zott, 2001</xref>).</p>
<p>In order to meet customers&#x2019; needs, enterprises need to focus on providing unique value and creating an inviting shopping environment. By offering products or services that stand out and cater to specific customer desires, businesses can differentiate themselves from competitors and leave a lasting impression on customers. This emphasis on unique value and an appealing shopping environment plays a pivotal role in attracting and retaining a loyal customer base, ultimately contributing to the long-range success of the companies.</p>
<p>The emergence of new retail faces three primary challenges: determining suitable locations for offline stores, competing on price with established online retailers, and achieving consumer recognition across both channels. The crux of these challenges lies in establishing a retail platform that can facilitate seamless integration between multiple online and offline channels. Furthermore, supporting this integration with cutting-edge technologies and innovations, particularly emphasizing that information technology is paramount to the success of new retail, is essential (<xref ref-type="bibr" rid="B14">Wang and Chang, 2021</xref>). The value of AI solutions has emerged as a critical area of interest. Additionally, scholars have delved into the impact of supply chain management within the context of new retail, recognizing its pivotal role in ensuring streamlined operations, optimized inventory management, and responsive adaptation to evolving consumer demands (<xref ref-type="bibr" rid="B8">Lindgadt et al., 2009</xref>). The effective application of big data and AI is pivotal in shaping and advancing innovative business models and formats (<xref ref-type="bibr" rid="B6">Jiang et al., 2021</xref>). The ongoing advancement of Internet technology serves as the technical backbone of the growth of new retail, enabling e-commerce and offline stores to evolve in tandem rather than as siloed entities. This convergence ushers in a novel zero-operation paradigm, where the new retail landscape thrives within a constantly evolving normal. The transformation is marked by the profound fusion of online and offline channels with logistics infrastructures, coupled with the extensive utilization of big data to augment retail operations (<xref ref-type="bibr" rid="B10">Osterwalder et al., 2005</xref>). The progression of new retail necessitates an in-depth examination of the essence of retail, striving to comprehensively meet consumer demands through the amalgamation of cutting-edge technologies, sophisticated logistics, and varied platforms. Academics have emphasized the critical role of science and technology, notably the deployment of big data, in driving the advancement of new retail (<xref ref-type="bibr" rid="B5">Gan et al., 2023</xref>).</p>
<p>The Shapley value was proposed by Olga Bondaleva and Lloyd Shapley (1960s) as a solution to the only expected payment based on the players&#x2019; marginal contribution in the case of multi-player league games (<xref ref-type="bibr" rid="B15">Wang et al., 2019</xref>). It is a mathematical method used to solve the problem of the distribution of players&#x2019; benefits during the game. It describes the necessary and sufficient conditions of the no emptiness of the core of a cooperative game in the form of a characteristic function and can form a Pareto improved optimal within the alliance. The Shapley value avoids equalitarianism in the distribution of the benefits of alliance members and is fairer and more rational than any distribution method solely reliant on the input value of resources, the efficiency of resource allocation, and the combination of the two. At the same time, it mobilizes the enthusiasm of the cooperative member enterprises and reflects the game process of the alliance members.</p>
<p>In recent years, many countries have been vigorously promoting enterprise digital transformation efforts (<xref ref-type="bibr" rid="B7">Li et al., 2022</xref>). The traditional development model of energy e-commerce has gradually failed to meet the development needs of energy enterprises, and it is urgent to upgrade and transform. The energy Internet form cultivated by &#x201c;Internet &#x2b; source&#x201d; has brought new opportunities for traditional energy e-commerce (<xref ref-type="bibr" rid="B12">Wang et al., 2017</xref>). Energy enterprises can make full use of Internet thinking, accelerate the promotion of the status and role of energy e-commerce in enterprises, gradually form a new generation of energy e-commerce development models, and provide enterprises with a sharing platform for factor reorganization, integration, and innovation.</p>
<p>However, during the process of setting up the business model, the most important factor is to design a reasonable profit distribution model. Multiple entities participating in business innovation could be regarded as a game. Only when the participants benefit from both competition and cooperation can the business model continue to develop (<xref ref-type="bibr" rid="B2">Chen et al., 2022</xref>). Many scholars have investigated the revenue allocation problems of energy e-commerce (<xref ref-type="bibr" rid="B17">Williams and Tagami, 2002</xref>; <xref ref-type="bibr" rid="B16">Wang et al., 2020b</xref>). Solidarity value and Shapley value methods are common methods of income distribution in cooperative games. It is a solution set defined in the theory of multi-player cooperative games. The solidarity value assumes that different allies have the same possibility of joining any alliance. Although different weights are considered for different alliances, the marginal contributions of alliance partners are averaged. The profits shared by alliance participants under the solidarity value method are similar to the average for their marginal contributions to all the alliances (<xref ref-type="bibr" rid="B3">Cubukcu, 2019</xref>). The integration of a discount factor has enabled the expansion of Shapley values in cooperative games to include interval-valued (IV) cooperative games. Through the introduction of IV discounted Shapley values, researchers have provided a simplified methodology for calculating these values in a specific category of IV cooperative games. This innovative approach facilitates a more thorough examination of coalitional games, accounting for the discounted contributions of players across various time periods. This development represents a significant advancement in the field of game theory, offering new insights into the dynamics of cooperation and competition among players in complex systems (<xref ref-type="bibr" rid="B4">Fei et al., 2018</xref>).</p>
<p>According to the findings of the above research, the basic cooperative game distribution method has its own limitations, which include a single consideration factor, a simple model, and the assumption that all income stakeholders have equal status in the distribution of income. Additionally, factors such as the responsibility of stakeholders, the cost of participation, and the level of risk are not taken into consideration. To address these issues, this paper proposes the incorporation of cost, risk, and contribution factors to enhance the basic cooperative game allocation method. The improved model considers the operating cost of the main body, the level of risk, and the proportion of actual energy supply contributed by each stakeholder.</p>
<p>The main contribution of this paper includes the following aspects:<list list-type="simple">
<list-item>
<p>(1) The formation mechanism and typical business model of energy e-commerce are systematically studied. The formation mechanism of the energy e-commerce business model is analyzed from the perspectives of energy e-commerce cooperation subjects, target users, key businesses, profit models, cooperation networks, trading methods, and benefit distribution methods. Then, based on the root factors that affect users&#x2019; consumption habits, the typical business model of energy e-commerce is constructed from multiple perspectives by integrating the formation mechanism of the business model.</p>
</list-item>
<list-item>
<p>(2) A multi-dimensional selection model of typical business models of energy e-commerce based on user consumption preferences is constructed. The project uses the user portrait method (UPM), and the <italic>K</italic>-means clustering method offers an effective means to categorize both C- and B-end large users. Specifically, the C-end users can be classified as rational, high-end, interested, and guided users, while the B-end large users can be segmented into high-value, low-value, and ordinary large users. These methods provide valuable insights for targeted marketing strategies and personalized user experiences, and differentiated business models are designed for different user types. The research provides a decision-making aid for the orderly development of energy e-commerce.</p>
</list-item>
<list-item>
<p>(3) The benefit calculation and benefit distribution model of customers&#x2019; participation in energy e-commerce cooperation are established. This paper designs the business operation mode of the energy e-commerce charging business under the cooperation of e-commerce and users and redistributes the benefits of both through case analysis, solving the problem of benefit distribution under the cooperative game of multi-parties in energy e-commerce.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s2">
<title>2 Building the user portrait model based on consumption data</title>
<p>The clustering analysis method is derived from the target key factor, focusing on grouping similar factor combinations. This technique is primarily used for sales data analysis, aiming to develop a classification model that identifies customers&#x2019; interests and consumption tendencies. Subsequently, the data are categorized into predefined groups, enabling predictions about future consumer behavior. The <italic>K</italic>-means algorithm model for consumers is exemplified as follows:</p>
<p>
<inline-formula id="inf1">
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<mml:mo>,</mml:mo>
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<mml:mo>,</mml:mo>
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</inline-formula>, where a random sample is selected as the initial clustering center. Then, the shortest distance between each sample and the designated cluster center is calculated. The principle is that a larger distance indicates a higher probability of being selected as a new cluster center. Among the commonly used similarity measurement techniques, including Euclidean distance, cosine similarity, Mahalanobis distance, and information entropy, cosine similarity is chosen as the metric. The formula for calculating cosine similarity is provided as follows:<disp-formula id="e1">
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<mml:mi>p</mml:mi>
<mml:mo>&#x2032;</mml:mo>
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<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
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<mml:mrow>
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<mml:mo>&#x2032;</mml:mo>
</mml:msup>
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</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:msqrt>
<mml:msqrt>
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<mml:mrow>
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<mml:mi>j</mml:mi>
<mml:msup>
<mml:mi>p</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
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<mml:mo>.</mml:mo>
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<label>(1)</label>
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</p>
<p>The above step is repeated until the <italic>Kth</italic> cluster center <inline-formula id="inf2">
<mml:math id="m3">
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<mml:mi>C</mml:mi>
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</inline-formula> is selected to form the initial cluster set, and these three types of sets are defined as <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
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<mml:mi>&#x3b6;</mml:mi>
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</inline-formula>, according to <inline-formula id="inf4">
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</inline-formula>, denoted as <inline-formula id="inf5">
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</inline-formula>. In addition, the sample mean of each set is used as the new clustering center <inline-formula id="inf6">
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</list-item>
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</sec>
<sec id="s3">
<title>3 Business model construction scheme for C-end customers</title>
<p>Drawing from the user profiling method, the user profile is refined from a detailed perspective, allowing for further segmentation of user types to offer a tailored selection of energy e-commerce business models.</p>
<sec id="s3-1">
<title>3.1 User portrait modeling scheme design</title>
<p>In order to effectively observe, record, and quantify consumer purchasing behavior and gain insights into consumer psychology, this study uses a questionnaire format to gather behavioral data. To ensure the questionnaire&#x2019;s scientific design, the expert opinion method was used to gather input from e-commerce professionals, and the questionnaire content was iteratively revised. The final questionnaire design encompasses consumers&#x2019; basic information, transaction details, preference information, and specific product-related data.</p>
</sec>
<sec id="s3-2">
<title>3.2 Results analysis based on the k-means clustering method</title>
<p>The choice of the <italic>K</italic>-value plays a crucial role in determining the level of clustering. Excessive user categorization can necessitate a larger number of user labels, potentially complicating subsequent tasks. Hence, selecting an appropriate <italic>K</italic>-value to classify users is essential, striking a balance between adequate data segmentation and avoiding undue complexity. To determine the suitable <italic>K</italic>-values, we must calculate the sum of squares of errors (SSE) within clusters. <xref ref-type="fig" rid="F1">Figure 1</xref> depicts the relationship between the sum of squares of errors within clusters and the number of clusters, as <italic>K</italic> varies from 0 to 20. This graph shows that as the <italic>K</italic>-value increases, clustering becomes more detailed, which is advantageous for a more refined segmentation of user groups. The horizontal axis represents the <italic>K-</italic>value, while the vertical axis indicates the corresponding SSE value.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Curve of the trend of sum of squares of errors within clusters.</p>
</caption>
<graphic xlink:href="fenrg-12-1379612-g001.tif"/>
</fig>
<p>It can be observed that as the <italic>K</italic> value increases, the sum of squares of errors within the clusters exhibits a decreasing trend. Initially, when the <italic>K</italic>-value is less than 4, the decrease in SSE is rapid. However, once the <italic>K</italic>-value reaches 4, the rate of decrease in SSE slows down significantly. Based on these observations, it can be inferred that the optimal <italic>K</italic>-value for this scenario is 4.</p>
</sec>
<sec id="s3-3">
<title>3.3 Presentation of user portrait results</title>
<p>By setting the <italic>K</italic>-value to 4, we can identify four central points, which are based on price, emotion, demand, and attachment. By analyzing the coordinates of each central point and marking the crowd characteristic information, we can create user portraits. A label system is then constructed to classify the group portraits. The results of this process are depicted in <xref ref-type="fig" rid="F2">Figure 2</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>User portrait result display.</p>
</caption>
<graphic xlink:href="fenrg-12-1379612-g002.tif"/>
</fig>
<p>These user portraits provide a comprehensive understanding of the different user groups, allowing for targeted marketing strategies and product development. The label system also enables easy identification and tracking of user behavior patterns, further enhancing the effectiveness of marketing efforts.</p>
<p>The position of a point on the <italic>x</italic>-axis indicates the extent to which a user&#x2019;s purchase behavior is influenced by the price of a product. Points further to the right suggest that users are less price-sensitive, prioritize personal interests, and value satisfaction over cost. Meanwhile, the <italic>y</italic>-axis represents the level of attention users pay to the added value of a product. Higher <italic>y</italic>-values indicate that users increasingly focus on additional benefits beyond the core functionality of the product.</p>
<p>Based on <xref ref-type="fig" rid="F2">Figure 2</xref>, which illustrates the clustering outcomes and behavioral traits of various consumer profiles, a descriptive analysis is conducted for each consumer category.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Business model and benefit distribution model</title>
<sec id="s4-1">
<title>4.1 Modeling of the income distribution approach by cooperative game</title>
<p>In cooperative game theory, the Shapley and Banzhaf value methods are two well-established solution concepts. This section delineates allocation strategies based on these two methodologies.</p>
<sec id="s4-1-1">
<title>4.1.1 Allocation strategy using the Shapely value method</title>
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</sec>
<sec id="s4-1-2">
<title>4.1.2 Solidarity value method allocation strategy</title>
<p>Solidarity value and Shapley value methods are common methods of income distribution in cooperative games. It is a solution set defined in N-person cooperative game theory. Solidarity values assume that different allies have the same possibility of joining any alliance. Although different weights are considered for different alliances, the marginal contributions of alliance partners are averaged. Under the solidarity value method, the profit shared by alliance participants is equal to the average of their marginal contribution to all alliances, and its specific model is shown as follows:<disp-formula id="e5">
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<title>4.1.3 Discriminant conditions</title>
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</sec>
</sec>
<sec id="s4-2">
<title>4.2 Income distribution method based on the modified cooperative game</title>
<p>Based on the above research, it can be found that the basic cooperative game distribution method has its own shortcomings; that is, the consideration factor is single, the model is easy to understand, the income stakeholders are thought to have equal status in the income distribution, and influence factors such as the responsibility of stakeholders, the cost of participants, and the level of risk are not considered. In the following, the improved method applies the size of the operating cost of the main body, the level of risk, and the contribution proportion of real energy supplements.</p>
<sec id="s4-2-1">
<title>4.2.1 Introduction of the cost factor correction algorithm</title>
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</sec>
<sec id="s4-2-2">
<title>4.2.2 Introduction of a value correction algorithm for risk factors</title>
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</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>; however, in the actual situation, the risks borne by different entities are different. Therefore, it is necessary to introduce risk factors to revise the basic cooperative game value method.</p>
<p>Let <inline-formula id="inf20">
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> be the actual risk to be borne; that is, the enhanced model, which is based on the variance between the actual and average risk, can be represented as follows:<disp-formula id="e10">
<mml:math id="m30">
<mml:mrow>
<mml:msup>
<mml:msub>
<mml:mi>V</mml:mi>
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</mml:msub>
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</mml:msup>
<mml:mo>&#x3d;</mml:mo>
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<mml:mrow>
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</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>where <inline-formula id="inf21">
<mml:math id="m31">
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
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<mml:mrow>
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</inline-formula>, <inline-formula id="inf22">
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<p>In order to further accurately evaluate the actual operating risk value of different entities, an index system for evaluating the operational risk of the two entities is first constructed, which includes the following three secondary indexes: physical index, economic index, and social index. Among them, the physical index includes construction, output, equipment failure, and equipment maintenance risks. The risk is measured from the perspective of life cycle theory. The economic index includes the net present value index, investment return rate, and dynamic investment payback period, and its risk is measured from the angle of efficiency and value. Sociality includes ecological environmental protection and political risk, which are measured in terms of environmental conservation and policy. The specific indicators are shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Risk index system.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Secondary index</th>
<th align="left">Three-level index</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="4" align="left">Physical index</td>
<td align="left">Construction risk</td>
</tr>
<tr>
<td align="left">Output-operating risk</td>
</tr>
<tr>
<td align="left">Equipment failure risk</td>
</tr>
<tr>
<td align="left">Equipment maintenance risk</td>
</tr>
<tr>
<td rowspan="3" align="left">Economic index</td>
<td align="left">Net present value index</td>
</tr>
<tr>
<td align="left">Return on investment</td>
</tr>
<tr>
<td align="left">Dynamic payback period</td>
</tr>
<tr>
<td rowspan="2" align="left">Social index</td>
<td align="left">Ecological and environmental protection risks</td>
</tr>
<tr>
<td align="left">Political risk</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-2-3">
<title>4.2.3 The value correction algorithm for a contribution factor is introduced</title>
<p>Because of the different investment characteristics, different investment entities meet different user needs after investment. Therefore, it is necessary to introduce a contribution factor to improve the basic cooperative game method.<disp-formula id="e11">
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</inline-formula> the user load demand contributed by subject <inline-formula id="inf25">
<mml:math id="m36">
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<mml:mo>&#x2034;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> is the improved distribution model based on cooperative contribution.</p>
</sec>
<sec id="s4-2-4">
<title>4.2.4 Comprehensive correction algorithm</title>
<p>In summary, the income distribution algorithm of the improved cooperative game comprehensive revision algorithm is as follows:<disp-formula id="e12">
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<label>(12)</label>
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<label>(13)</label>
</disp-formula>
</p>
<p>In the formula, the value of the weight coefficient of <inline-formula id="inf27">
<mml:math id="m40">
<mml:mrow>
<mml:mi>&#x3bb;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf28">
<mml:math id="m41">
<mml:mrow>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
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<mml:math id="m42">
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</mml:mrow>
</mml:math>
</inline-formula> is a fuzzy judgment that is more influenced by subjective factors, and different results will have a certain impact. Therefore, based on the actual situation, the determination method combining subjective and objective using AHP and entropy weight methods is adopted to assign its weight. The discriminant conditions of the improved cooperative game comprehensive correction algorithm refer to the discriminant conditions before the improvement. The specific steps are as follows:<list list-type="simple">
<list-item>
<p>
<bold>
<italic>Step 1</italic>
</bold>: Based on the basic model (4) or (5) and combined with the actual data in the operation process, the initial cooperation game value is obtained.</p>
</list-item>
<list-item>
<p>
<bold>
<italic>Step 2</italic>
</bold>: Based on the actual data of daily operating costs and combined with model (9), the cost-based revision value is obtained.</p>
</list-item>
<list-item>
<p>
<bold>
<italic>Step 3</italic>
</bold>: On the basis of the completion of evaluation indicators, the fuzzy comprehensive evaluation method is used to derive the fundamental weights for physical, economic, and social indicators. Second, on the basis of determining the weights of the secondary indexes, the weight coefficients of the three indexes, including construction risk and operation risk, are obtained using the fuzzy comprehensive evaluation method. Finally, combined with the actual data and the basic weight value, the actual operating risks of the integrated energy distribution network and the main network of each park are obtained. Combined with model (10), the cooperative correction value based on risk management is obtained.</p>
</list-item>
<list-item>
<p>
<bold>
<italic>Step 4</italic>
</bold>: Based on the actual contribution of the agent to meet the load demand of the user, combined with model (11), the cooperative revision value based on the cooperative contribution is obtained.</p>
</list-item>
<list-item>
<p>
<bold>
<italic>Step 5</italic>
</bold>: First, the analytic hierarchy process and entropy weight method are combined to find the weight of cost, business risk, and cooperation contribution. Second, combined with model (12) and the values obtained from steps 2 to 4, a comprehensive and improved cooperative game correction is obtained.</p>
</list-item>
</list>
</p>
</sec>
</sec>
</sec>
<sec id="s5">
<title>5 Energy e-commerce business model benefit calculation and distribution case analysis</title>
<p>If you want to ensure the applicability of the benefit distribution strategy by cooperative game presented by the project, this section takes the typical cooperative business model as the basis and analyzes the charging business in an electric vehicle business system in J Province.</p>
<sec id="s5-1">
<title>5.1 Business model design</title>
<p>This chapter integrates and combines the business model of an electric vehicle charging business of an e-commerce company in J Province, as shown in <xref ref-type="table" rid="T2">Tables 2</xref>&#x2013;<xref ref-type="table" rid="T6">6</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Typical business models of energy e-commerce in actual cases.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Major component</th>
<th colspan="2" align="left">Selection mode</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left" style="color:#101214">Cooperative subject</td>
<td colspan="2" align="left" style="color:#101214">User</td>
</tr>
<tr>
<td align="left" style="color:#101214">Target user</td>
<td colspan="2" align="left" style="color:#101214">C-end electric vehicle users</td>
</tr>
<tr>
<td align="left" style="color:#101214">Critical business</td>
<td colspan="2" align="left" style="color:#101214">Electric vehicle charging</td>
</tr>
<tr>
<td rowspan="2" align="left" style="color:#101214">Profit model</td>
<td colspan="2" align="left" style="color:#101214">Charging income</td>
</tr>
<tr>
<td colspan="2" align="left" style="color:#101214">Precision user management benefits (demand response)</td>
</tr>
<tr>
<td align="left" style="color:#101214">Benefit distribution mode</td>
<td align="left" style="color:#101214">Multi-agent</td>
<td align="left" style="color:#101214">cooperative game</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Among them, the benefits of refined user management are mainly obtained through user participation in demand response, and the relevant models are as follows:</p>
<sec id="s5-1-1">
<title>5.1.1 Price package design</title>
<p>The price package is adjusted according to the customer&#x2019;s sensitivity to price adjustments during different periods, and peak and off-peak time-based charging rates are implemented. Users proactively adjust their charging schedules upon receiving signals about changes in charging prices.</p>
<p>Based on the basic principle of designing the electricity price of peak&#x2013;valley time-sharing charging by the economic principle, the demand price elasticity matrix model can be obtained:<disp-formula id="e14">
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<mml:mtd>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mi>j</mml:mi>
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</mml:msubsup>
</mml:mrow>
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<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>i</mml:mi>
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<mml:mrow>
<mml:mrow>
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<mml:msubsup>
<mml:mi>c</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>i</mml:mi>
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</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:msubsup>
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<mml:mi>z</mml:mi>
<mml:mi>i</mml:mi>
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</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mi>z</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(15)</label>
</disp-formula>
</p>
<p>In Eq. <xref ref-type="disp-formula" rid="e15">15</xref>, when <inline-formula id="inf32">
<mml:math id="m47">
<mml:mrow>
<mml:mi>z</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf33">
<mml:math id="m48">
<mml:mrow>
<mml:msubsup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">z</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> represents the self-elastic coefficient and when <inline-formula id="inf35">
<mml:math id="m50">
<mml:mrow>
<mml:mi>z</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf36">
<mml:math id="m51">
<mml:mrow>
<mml:msubsup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">z</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> represents the cross-elastic coefficient. <inline-formula id="inf37">
<mml:math id="m52">
<mml:mrow>
<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf38">
<mml:math id="m53">
<mml:mrow>
<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> are the original loads at the time periods <inline-formula id="inf39">
<mml:math id="m54">
<mml:mrow>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf40">
<mml:math id="m55">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, respectively. <inline-formula id="inf41">
<mml:math id="m56">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf42">
<mml:math id="m57">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> are the user load variations at the time periods <inline-formula id="inf43">
<mml:math id="m58">
<mml:mrow>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf44">
<mml:math id="m59">
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, respectively.</p>
<p>The solution for the self-elasticity coefficient can be derived from the equilibrium of supply and elastic demand, while the specific processes are referenced by <xref ref-type="bibr" rid="B18">Yue (2016)</xref>; the solution of the cross-elasticity coefficient is according to the multi-period price response process of users, and the specific process is referenced (<xref ref-type="bibr" rid="B19">Zhang et al., 2016</xref>).</p>
<p>Using the demand elasticity matrix, the calculation model of customer charging amount after the implementation of peak&#x2013;valley time-sharing charging price is presented as follows (<xref ref-type="bibr" rid="B11">Victor Mayer Schonberg, 2013</xref>):<disp-formula id="e16">
<mml:math id="m60">
<mml:mrow>
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<mml:mrow>
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<mml:mtr>
<mml:mtd>
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<mml:mi>Q</mml:mi>
<mml:mn>1</mml:mn>
<mml:mi>i</mml:mi>
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<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
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<mml:mi>Q</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi>i</mml:mi>
</mml:msubsup>
<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>.</mml:mo>
<mml:mo>.</mml:mo>
<mml:mo>.</mml:mo>
</mml:mrow>
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<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>E</mml:mi>
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<mml:mi>Q</mml:mi>
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</mml:mtd>
<mml:mtd>
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<mml:mtd>
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</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="&#x007C;">
<mml:mrow>
<mml:mtable columnalign="center">
<mml:mtr>
<mml:mtd>
<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mn>1</mml:mn>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>.</mml:mo>
<mml:mo>.</mml:mo>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(16)</label>
</disp-formula>where <inline-formula id="inf45">
<mml:math id="m61">
<mml:mrow>
<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf46">
<mml:math id="m62">
<mml:mrow>
<mml:msubsup>
<mml:mi>Q</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> refer to the user&#x2019;s charging load demand before and after the implementation of <inline-formula id="inf47">
<mml:math id="m63">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> time-sharing charging, respectively. <inline-formula id="inf48">
<mml:math id="m64">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:msubsup>
<mml:mi>c</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf49">
<mml:math id="m65">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>P</mml:mi>
<mml:msubsup>
<mml:mi>c</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> are the original price of the period load and the amount of price change, respectively.</p>
</sec>
<sec id="s5-1-2">
<title>5.1.2 Incentive package design</title>
<p>Incentive package refers to the pre-incentive agreement established by energy e-commerce, which is composed of user load reduction amount and corresponding unit compensation price and signed with users (<xref ref-type="bibr" rid="B21">Zhong, 2014</xref>). Users have the option to establish a pre-incentive agreement with the energy supplier, enabling them to adjust their charging demand in accordance with the agreement within a specified time frame, including potential interruptions or increases in demand.</p>
<p>The stepped load reduction unit compensation price model is set as follows:<disp-formula id="e17">
<mml:math id="m66">
<mml:mrow>
<mml:msubsup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>B</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="{" close="" separators="&#x007C;">
<mml:mrow>
<mml:mtable columnalign="center">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msubsup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
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<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
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<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>Q</mml:mi>
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<mml:mo>,</mml:mo>
<mml:mo>&#x2061;</mml:mo>
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</mml:mrow>
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<mml:mo>,</mml:mo>
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<mml:mo>,</mml:mo>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
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<mml:mtr>
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<mml:mo>,</mml:mo>
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</mml:mrow>
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<mml:mo>&#x3c;</mml:mo>
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<mml:mo>,</mml:mo>
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<mml:mi>Q</mml:mi>
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<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
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</mml:mrow>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>B</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(17)</label>
</disp-formula>where <inline-formula id="inf50">
<mml:math id="m67">
<mml:mrow>
<mml:msubsup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>B</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the unit compensation price in the period <inline-formula id="inf51">
<mml:math id="m68">
<mml:mrow>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> of <inline-formula id="inf52">
<mml:math id="m69">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf53">
<mml:math id="m70">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the load that can be reduced in the period <inline-formula id="inf54">
<mml:math id="m71">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. <inline-formula id="inf55">
<mml:math id="m72">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf56">
<mml:math id="m73">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the minimum and maximum load reductions, respectively.</p>
</sec>
</sec>
<sec id="s5-2">
<title>5.2 Actual data of benefit measurement</title>
<p>Based on the electric vehicle charging demand of users covered by the e-commerce in J Province and charging price by the e-commerce, the elastic matrix of users&#x2019; charging demand is obtained through investigation, and the benefit calculation and benefit distribution of users&#x2019; participation in energy e-commerce cooperation are studied. The actual data are shown in <xref ref-type="table" rid="T3">Tables 3</xref>&#x2013;<xref ref-type="table" rid="T6">6</xref>. The charging demand of users is described in <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Charging demand of users.</p>
</caption>
<graphic xlink:href="fenrg-12-1379612-g003.tif"/>
</fig>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Charging price list of electric vehicles of energy e-commerce.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Category</th>
<th align="center">Time segment</th>
<th align="center">Intra-time</th>
<th align="center">Segment price</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="5" align="center" style="color:#101214">Electrovalence</td>
<td align="center" style="color:#101214">Valley interval</td>
<td align="center">(23:00&#x2013;7:00)</td>
<td align="center">0.3&#xa0;yuan/kW&#xb7;h</td>
</tr>
<tr>
<td rowspan="2" align="center" style="color:#101214">Medium period</td>
<td align="center">(11:00&#x2013;14:00)</td>
<td rowspan="2" align="center">0.575&#xa0;yuan/kW&#xb7;h</td>
</tr>
<tr>
<td align="center">(18:00&#x2013;23:00)</td>
</tr>
<tr>
<td rowspan="2" align="left" style="color:#101214">Peak hour</td>
<td align="center">(7:00&#x2013;11:00)</td>
<td rowspan="2" align="center">0.85&#xa0;yuan/kW&#xb7;h</td>
</tr>
<tr>
<td align="center">(14:00&#x2013;18:00)</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Elasticity of user charging demand.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="4" align="center">Electric load</th>
</tr>
<tr>
<th colspan="2" align="left">Self-elasticity</th>
<th colspan="2" align="center">Cross elasticity</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left" style="color:#101214">Peak&#x2013;peak</td>
<td align="center">&#x2212;0.262</td>
<td align="center" style="color:#101214">Peak&#x2013;medium</td>
<td align="center">0.1334</td>
</tr>
<tr>
<td align="left" style="color:#101214">Medium&#x2013;medium</td>
<td align="center">&#x2212;0.116</td>
<td align="center" style="color:#101214">Peak&#x2013;valley</td>
<td align="center">0.1065</td>
</tr>
<tr>
<td align="center">-</td>
<td align="center">-</td>
<td align="center" style="color:#101214">Medium&#x2013;peak</td>
<td align="center">0.2685</td>
</tr>
<tr>
<td align="center">-</td>
<td align="center">-</td>
<td align="center" style="color:#101214">Valley&#x2013;peak</td>
<td align="center">0.7894</td>
</tr>
<tr>
<td align="center">-</td>
<td align="center">-</td>
<td align="center" style="color:#101214">Valley&#x2013;medium</td>
<td align="center">0.115</td>
</tr>
<tr>
<td align="center" style="color:#101214">Valley&#x2013;valley</td>
<td align="center">&#x2212;0.0221</td>
<td align="center" style="color:#101214">Medium&#x2013;valley</td>
<td align="center">0.0923</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Parameters of the energy e-commerce design incentive package.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Load type</th>
<th align="center">Maximum load increase or decrease/MW&#xb7;h</th>
<th align="center">Load increase or decrease/MW</th>
<th align="center">Load reduction compensation price/(yuan/kwh)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="5" align="left" style="color:#101214">Electricity</td>
<td rowspan="5" align="center">6</td>
<td align="center">(4.5,6]</td>
<td align="center">0.18</td>
</tr>
<tr>
<td align="center">(3,4.5]</td>
<td align="center">0.12</td>
</tr>
<tr>
<td align="center">(1.5, 3]</td>
<td align="center">0.06</td>
</tr>
<tr>
<td align="center">(0, 1.5]</td>
<td align="center">0.03</td>
</tr>
<tr>
<td align="center">(0, 1]</td>
<td align="center">0.03</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Changes in peak and valley time-sharing charging price and charging load.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Period</th>
<th align="center">Category</th>
<th align="center">Variation</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">23:00&#x2013;6:00</td>
<td align="center" style="color:#101214">Spot electricity price</td>
<td align="center">0.29&#xa0;yuan/kW&#xb7;h</td>
</tr>
<tr>
<td align="center" style="color:#101214">Electricity price increases and decreases</td>
<td align="center">&#x2212;0.01&#xa0;yuan/kW&#xb7;h</td>
</tr>
<tr>
<td align="center">(low load period)</td>
<td align="center" style="color:#101214">Increase in charging load in each period</td>
<td align="center">&#x2b;1.331&#xa0;MW</td>
</tr>
<tr>
<td align="center">7:00&#x2013;11:00</td>
<td align="center" style="color:#101214">Spot electricity price</td>
<td align="center">0.853&#xa0;yuan/kW&#xb7;h</td>
</tr>
<tr>
<td align="center">15:00&#x2013;19:00</td>
<td align="center" style="color:#101214">Electricity price increases and decreases</td>
<td align="center">&#x2b;0.003&#xa0;yuan/kW&#xb7;h</td>
</tr>
<tr>
<td align="center">(peak load period)</td>
<td align="center" style="color:#101214">Increase in charging load in each period</td>
<td align="center">&#x2212;1.699&#xa0;MW</td>
</tr>
<tr>
<td align="center">12:00&#x2013;14:00</td>
<td align="center" style="color:#101214">Spot electricity price</td>
<td align="center">0.556&#xa0;yuan/kW&#xb7;h</td>
</tr>
<tr>
<td align="center">20:00&#x2013;22:00</td>
<td align="center" style="color:#101214">Electricity price increases and decreases</td>
<td align="center">&#x2212;0.019&#xa0;yuan/kW&#xb7;h</td>
</tr>
<tr>
<td align="center">(medium load period)</td>
<td align="center" style="color:#101214">Increase in charging load in each period</td>
<td align="center">&#x2b;1.071&#xa0;MW</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s5-3">
<title>5.3 Calculation of business model benefit distribution</title>
<sec id="s5-3-1">
<title>5.3.1 Setting multiple scenarios</title>
<p>Aiming to analyze the benefits generated by the cooperation alliance of users and e-commerce, four kinds of cases have been built as follows: case 1 is that e-commerce does not reach cooperation with customers; case 2 is that e-commerce reaches collaborating with users through price-based demand response; case 3 is that e-commerce reaches collaborating with users through incentive-based demand response; and case 4 is that agreement is reached with users when both incentives and prices are implemented.</p>
</sec>
<sec id="s5-3-2">
<title>5.3.2 Demand response results of users participating in e-commerce cooperation alliances</title>
<p>
<xref ref-type="table" rid="T7">Table 7</xref> presents the variation in user charging load in each period under the implementation of the incentive package.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Changes in charging load after the implementation of incentive package.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Time period</th>
<th rowspan="2" align="center">22:00&#x2013;2:00 (MW)</th>
<th align="center">6:00&#x2013;9:00</th>
<th align="center">10:00</th>
</tr>
<tr>
<th align="center">11:00&#x2013;12:00 (MW)</th>
<th align="center">13:00&#x2013;19:00 (MW)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center" style="color:#101214">Interruption of electrical load in each period</td>
<td align="center">&#x2b;6</td>
<td align="center">&#x2212;3</td>
<td align="center">&#x2212;1.5</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s5-3-3">
<title>5.3.3 Benefit calculation results under multiple scenarios</title>
<p>
<xref ref-type="table" rid="T8">Table 8</xref> shows the results of basic benefit distribution under different cases.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Economic benefits of all parties in the alliance under different cases.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Case</th>
<th align="center">Case 1</th>
<th align="center">Case 2</th>
<th align="center">Case 3</th>
<th align="center">Case 4</th>
</tr>
<tr>
<th align="center">Participant</th>
<th align="center">Category</th>
<th colspan="4" align="center">Benefit/10,000 yuan</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center" style="color:#101214">Electricity supplier charging business income</td>
<td align="center" style="color:#101214">Total</td>
<td align="center">51.348</td>
<td align="center">52.105</td>
<td align="center">52.46</td>
<td align="center">54.572</td>
</tr>
<tr>
<td rowspan="3" align="center" style="color:#101214">User revenue</td>
<td align="left" style="color:#101214">Incentive package income</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">1.836</td>
<td align="center">1.836</td>
</tr>
<tr>
<td align="left" style="color:#101214">Cost reduction benefit</td>
<td align="center">0</td>
<td align="center">1.922</td>
<td align="center">2.645</td>
<td align="center">4.072</td>
</tr>
<tr>
<td align="left" style="color:#101214">Total</td>
<td align="center">0</td>
<td align="center">1.922</td>
<td align="center">4.481</td>
<td align="center">5.908</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s5-3-4">
<title>5.3.4 Analysis of benefit distribution results</title>
<p>In scenario 4, a comprehensive cooperation agreement is reached between the user and energy e-commerce platform to achieve optimal economic benefits. To reflect the significant role of user participation in the design of e-commerce packages in enhancing the overall benefits of e-commerce, this section uses the fundamental Shapley value approach, the basic solidarity value method, and the Shapley value method based on the enhancement of the contribution factor to conduct a reallocation of benefits. <xref ref-type="table" rid="T9">Table 9</xref> presents the returns accrued to both parties under the basic Shapley value method.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Returns of the two parties under the basic cooperative game method.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Main body</th>
<th rowspan="2" align="left">Basic Shapley value method revenue/10,000 yuan</th>
<th align="left">Base solidarity value method</th>
</tr>
<tr>
<th align="left">Revenue/10,000 yuan</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left"/>
<td align="left">55.914</td>
<td align="left">43.077</td>
</tr>
<tr>
<td align="left" style="color:#101214">E-commerce user</td>
<td align="left">4.566</td>
<td align="left">30.24</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Based on the examination of <xref ref-type="table" rid="T9">Table 9</xref>, from the viewpoint of distribution outcomes, the fundamental solidarity value method does not adhere to the integrity principle and is, hence, inapplicable to the benefit distribution results. Under the basic Shapley value method, e-commerce earnings augment by 13,420 yuan, whereas the corresponding user earnings diminish by 13,420 yuan. This does not mirror the constructive role of user participation in energy consumption packages in augmenting the earnings of e-commerce charging businesses, necessitating further enhancement through the amalgamation of the improvement model. <xref ref-type="table" rid="T10">Table 10</xref> presents the earning outcomes of the three parties under the enhanced Shapley value method.</p>
<table-wrap id="T10" position="float">
<label>TABLE 10</label>
<caption>
<p>Results of tripartite returns under the improved Shapley value method.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Main body</th>
<th align="center">Contribution rate</th>
<th align="center">Improved Shapley value method, revenue/10,000 yuan</th>
<th align="left">Increase or decrease compared to the original income, revenue/10,000 yuan</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">E-commerce user</td>
<td align="center">0.484</td>
<td align="center">53.604</td>
<td align="center">&#x2212;0.968</td>
</tr>
<tr>
<td align="center">0.516</td>
<td align="center">35.327</td>
<td align="center">0.968</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>According to the analysis in <xref ref-type="table" rid="T10">Table 10</xref>, the results of benefit allocation are consistent with role positioning. Second, the user revenue increased by 0.968 million yuan. In addition, although the revenue of e-commerce decreased by 0.968 million yuan, its net income increased by 22,256 million yuan compared with not cooperating with users.</p>
</sec>
</sec>
</sec>
<sec sec-type="conclusion" id="s6">
<title>6 Conclusion</title>
<p>Initially, this paper surveys the concept and developmental characteristics of energy e-commerce. Building upon this, the formation mechanism of the typical business model of energy e-commerce is proposed from the perspectives of collaborative entities, target users, key businesses, profit model, and benefit distribution. Typical operational business models such as intermediary, leading, and cooperative are constructed. Subsequently, with the aid of user portrait methods and k-means clustering methods, C-end users can be categorized into rational, high-end, interested, and guided users, while B-end large users can be classified as high-value, low-value, and ordinary large users, with differentiated business models designed for different user types. Finally, based on the cooperative business model, in conjunction with the electric vehicle charging demands of users covered by the e-commerce in Province J and the charging prices implemented by the e-commerce, the benefit calculation and benefit distribution of users participating in the energy e-commerce cooperation are studied. With charging business as the core, this paper designs the business operation mode of energy e-commerce charging business under the cooperation of e-commerce and users and redistributes the benefits of both through case analysis, verifying that the distribution model proposed by the project can be applied to the benefit distribution of multi-entity cooperation in energy e-commerce.</p>
<p>From the perspective of suggestions, the power grid enterprises should fully grasp the current trend of &#x201c;Internet &#x2b;&#x201d; and &#x201c;intelligent &#x2b;,&#x201d; explore the business model and profit model of market-oriented operation, integrate cutting-edge information technology and energy e-commerce businesses closely, form innovative products and technical achievements with market competitiveness, better meet the real and urgent needs of users, and further enhance the ability of innovation and development.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>BY: conceptualization, data curation, formal analysis, investigation, validation, writing&#x2013;original draft, and writing&#x2013;review and editing. SL: conceptualization, data curation, formal analysis, investigation, validation, writing&#x2013;original draft, and writing&#x2013;review and editing. HG: conceptualization, data curation, formal analysis, investigation, methodology, validation, writing&#x2013;original draft, and writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This paper is supported by the Young Talents Project of State Grid Energy Research Institute Co., Ltd. (SGNY202114010, Research on the Construction and Evaluation of Digital New Infrastructure Operation Model Based on the Complex Network). The funder was not involved in the study design, collection, analysis, interpretation of data, the writing of this article, or the decision to submit it for publication.</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>Authors BY, SL and HG were employed by State Grid Energy Research Institute Co., Ltd.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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