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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Behav. Econ.</journal-id>
<journal-title>Frontiers in Behavioral Economics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Behav. Econ.</abbrev-journal-title>
<issn pub-type="epub">2813-5296</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/frbhe.2023.1120448</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Behavioral Economics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Initiating free-flow communication in trust games</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Babin</surname> <given-names>J. Jobu</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x02020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2134371/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Chauhan</surname> <given-names>Haritima S.</given-names></name>
<xref ref-type="author-notes" rid="fn003"><sup>&#x02020;</sup></xref>
</contrib>
</contrib-group>
<aff><institution>Behavioral Economics and Organization Research Group (BEORG), College of Business and Technology, Western Illinois University</institution>, <addr-line>Macomb, IL</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Emmanuel Dechenaux, Kent State University, United States</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Puja Bhattacharya, University of Arkansas, United States; Simone Quercia, University of Verona, Italy</p></fn>
<corresp id="c001">&#x0002A;Correspondence: J. Jobu Babin <email>jj-babin&#x00040;wiu.edu</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Behavioral Microfoundations, a section of the journal Frontiers in Behavioral Economics</p></fn>
<fn fn-type="other" id="fn002"><p>&#x02020;ORCID: J. Jobu Babin <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0001-6022-0089">orcid.org/0000-0001-6022-0089</ext-link></p></fn>
<fn fn-type="other" id="fn003"><p>Haritima S. Chauhan <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0003-4397-4166">orcid.org/0000-0003-4397-4166</ext-link></p></fn></author-notes>
<pub-date pub-type="epub">
<day>16</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>2</volume>
<elocation-id>1120448</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>20</day>
<month>02</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2023 Babin and Chauhan.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Babin and Chauhan</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>Theory suggests a first-mover advantage in many strategic bargaining situations, yet often the first to make an offer is not the first to communicate. We report the results of experimental trust games conducted on mobile devices allowing free-flow computer-mediated communication (CMC) rather than pre-play. Free-flow CMC leads to increased trust and overall welfare, where the majority of increased benefit goes to second movers. Using timestamps in chat logs, we find that first-movers most often initiate communication, but there is no direct benefit to doing so. Linguistic analysis of chat logs reveals significant bargaining and screening/signaling content.</p>
<sec>
<title>JEL codes</title>
<p>C78, C91, C92, D8, D63, D71.</p></sec></abstract>
<kwd-group>
<kwd>free-flow communication</kwd>
<kwd>CMC</kwd>
<kwd>trust games</kwd>
<kwd>chat mining</kwd>
<kwd>experiment</kwd>
<kwd>mobile devices</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="6"/>
<equation-count count="0"/>
<ref-count count="28"/>
<page-count count="8"/>
<word-count count="5322"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1. Introduction</title>
<p>This article explores the impact of free-flow computer-mediated communication (CMC) in trust-oriented bargaining and investigates the incentives to initiate discourse. CMC&#x02014;typically in the form of electronic chat or notation&#x02014;is becoming the norm to the relative discount of face-to-face. Looking at this type of discourse is very important given the movement in society toward CMC. Previous studies almost universally demonstrates that introducing communication to bargaining games encourages socially beneficial actions and improves overall welfare (Xiao and Houser, <xref ref-type="bibr" rid="B28">2005</xref>; Buchan et al., <xref ref-type="bibr" rid="B10">2006</xref>; Charness and Dufwenberg, <xref ref-type="bibr" rid="B12">2006</xref>; Fiedler and Haruvy, <xref ref-type="bibr" rid="B20">2009</xref>; Bicchieri et al., <xref ref-type="bibr" rid="B7">2010</xref>; Andreoni and Rao, <xref ref-type="bibr" rid="B3">2011</xref>; Ben-Ner et al., <xref ref-type="bibr" rid="B5">2011</xref>; Chen and Chen, <xref ref-type="bibr" rid="B13">2011</xref>). While a handful of recent studies look at modern communication modes (Greiner et al., <xref ref-type="bibr" rid="B22">2012</xref>; Abatayo et al., <xref ref-type="bibr" rid="B1">2017</xref>; Babin, <xref ref-type="bibr" rid="B4">2020</xref>), few explore free-flow CMC explicitly as observed in the real world (see Omilion-Hodges and Ackerman, <xref ref-type="bibr" rid="B26">2018</xref>).</p>
<p>This study aims to answer three economic questions. First, does free-flow, electronic messaging impact trust and related gains compared to no communication? Second, does one&#x00027;s role in a bargaining game impact the decision to initiate CMC? Finally, are there benefits related to the initiation of CMC, and if so, who realizes them? Our vehicle for answering these questions is an experimental &#x0201C;Investment game&#x0201D; (Berg et al., <xref ref-type="bibr" rid="B6">1995</xref>) (henceforth &#x0201C;trust game&#x0201D;) allowing continuous chat until the final player action. This structure yields intuitive measures of trust, trustworthiness, and welfare and allows for the modeling of numerous interactions that require conditional judgment and reciprocity. A limitation of restricting communication to a pre-play condition is that the design will camouflage any informational gain associated with a first- or second-mover advantage. Free flow of communication makes more sense in a trust game and allows the researcher to examine the roles of discourse sequence and signaling content. We use the timestamps in chat logs to identify initiators and determine the impact of <italic>starting</italic> a chat on trust and welfare. The quality of our chat data is poor, made up of broken textspeak and emojis, and given the sample size, we cannot use contemporary NLP methods for textual analysis. Instead, we categorized our chats and found a significant number with cheap talk deals and screening content.</p>
<p>There is some reason to hypothesize that the first mover in a game would be the one to open a chat, even if mere cheap talk. Hernandez-Lagos (<xref ref-type="bibr" rid="B23">2019</xref>) finds that in settings with costless, free-form, and pre-play communication, players often cooperate with initiators (in a stag hunt). However, that study does not involve a sequential game nor allow freeform CMC <italic>during</italic> the process of committing to strategic actions. Before any strategic action occurs, the information environment can be awkward for decision-makers. When an agent decides on a choice of &#x0201C;words&#x0201D; in any communication mode, they implicitly decide how to <italic>position</italic> themselves in relation to a counterpart (Graham, <xref ref-type="bibr" rid="B21">2015</xref>). One story paints CMC as a <italic>screening/signaling (s/s)</italic> mechanism. Studies show there is a demand-side effect for such information in trust games, as agents condition their actions to the expectations of counterparts (Eckel and Wilson, <xref ref-type="bibr" rid="B18">2004</xref>; Wilson and Eckel, <xref ref-type="bibr" rid="B27">2006</xref>; Eckel and Petrie, <xref ref-type="bibr" rid="B19">2011</xref>). This hypothesis means that players may statistically discriminate counterparts as &#x0201C;favorable&#x0201D; or &#x0201C;unfavorable&#x0201D; types (e.g., Eckel and Grossman, <xref ref-type="bibr" rid="B17">1998</xref>; Buchan et al., <xref ref-type="bibr" rid="B9">2008</xref>; Delavande and Zafar, <xref ref-type="bibr" rid="B16">2015</xref>; Capraro and Kuilder, <xref ref-type="bibr" rid="B11">2016</xref>; Bra&#x000F1;as-Garza et al., <xref ref-type="bibr" rid="B8">2018</xref>; Babin, <xref ref-type="bibr" rid="B4">2020</xref>) or may provide a signal to elicit a preferable stereotype. Screening helps to set payoff expectations, but not in the same way as receiving a financial offer or cheap talk statement of intent. Information about a counterpart&#x00027;s type (e.g., gender, race, cultural origin, or affective state) (1) may support the credibility of a promise or (2) serve as a substitute for a statement of intent, thus, inducing prosocial behavior in the trust game. If true, an implication of this notion is that the &#x0201C;trust game&#x0201D; often used in the lab is perceived by subjects as a Bayesian game (i.e., involving incomplete information).</p>
<p>Sequences in a conversation typically relate to who desires the discourse the most.<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> If trust is conditioned on a linguistic signal (e.g., a person&#x00027;s type), it is reasonable to expect first-movers (<italic>Investors</italic>) to initiate more frequently than second-movers (<italic>Responders</italic>). Second-movers may also be interested in information about the first to position themselves as trustworthy. However, in the trust game, sub-game perfection dictates there should be no amount of currency passed, and increased surplus can only occur when Investors send a positive amount. Therefore, any informational signal embedded in communication should be more valuable to the first-mover&#x02014;the player with more to lose. The choice to initiate a chat may be a strategic action.</p>
<p>We find that trust increases dramatically with the introduction of free-flow CMC to one-shot interactions (consistent with the pre-play literature). First-movers are far more likely to be the first to send a message compared to second-movers. While there are no explicit benefits to initiating a chat, the average payoff gains in communication settings appear to go to second movers.</p>
<p>This study contributes in several ways. We illustrate how the initiation of a free-flow chat (and potential signaling content) impacts allocation. Each player in a trust game has the incentive to garner information <italic>via</italic> communication, assuming agents condition their actions on the judgments of their counterparts. Allowing free-flow chat into the trust game, we can identify the most likely initiator and isolate welfare gains by player roles. Our results support the previous findings that communication augments trust and welfare (e.g., Charness and Dufwenberg, <xref ref-type="bibr" rid="B12">2006</xref>) while expanding beyond those settings. Additionally, we use mobile devices in the lab setting, adding a &#x0201C;taste of the field&#x0201D; to the design.</p></sec>
<sec sec-type="methods" id="s2">
<title>2. Methods</title>
<p>Our primary inquiries are whether free-flow electronic chat has any significant correlation with the roles of the players in the trust game, who initiates communication, and whether there are notable gains from being that player. Thus, we must compare trust and welfare measures with linguistic sequences in electronic chat logs.</p>
<p>We use a one-shot dual endowment trust game (<xref ref-type="fig" rid="F1">Figure 1</xref>) following Aksoy et al. (<xref ref-type="bibr" rid="B2">2018</xref>) to eliminate inequality aversion as a factor. The game yields intuitive measures of trust as amounts sent, trustworthiness as a percentage of the amount returned, and welfare as payoffs in currency terms. Imposing sub-game perfection, the unique Nash equilibrium predicts no money is exchanged. In reality, this equilibrium is seldom seen in experimental settings, with payoffs being indicative of players seeking Pareto improvements from the Nash.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Extensive form of our variant of the Investment (&#x0201C;trust&#x0201D;) Game.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frbhe-02-1120448-g0001.tif"/>
</fig>
<p>To isolate the effect of free-flow chat on the trust measures, we executed an experiment, allowing analysis of actions, chat logs by role and sequence, and subject characteristics. Students participated in a 1 x 2 between-subject design with random assignment: a baseline group (B1) plays a one-shot trust game with no communication and a treatment group (T1) plays a one-shot trust game with the ability to use CMC, including text chat and emojis. Previous studies have focused on &#x0201C;pre-play&#x0201D; messaging. Alternatively, we allowed for free-flow communication throughout the interaction in T1, ceasing at the final action. Subjects were unaware of the different treatment conditions of the experiment. They also completed an MPL risk aversion measure (Holt and Laury, <xref ref-type="bibr" rid="B24">2002</xref>) and filled out a demographic questionnaire.</p>
<p>All components of the study were completed using the subjects&#x00027; own mobile devices. When subjects arrived at a scheduled lab session, they signed a consent form and were instructed on how to connect to the instrument. Assistants seated subjects spaced apart and directed them not to converse. They were, however, given permission to text message or browse the Internet only until sessions were about to begin &#x02013; intended as both a priming device and to minimize loss of control. Oral instructions were read aloud and projected onto an overhead screen; on a post-experiment questionnaire, 98.1% of participants indicated that the instructions were clear.</p>
<p>Subjects were paid in a separate room from the session and redeemed virtual earnings for cash at a ratio of 10 vc: US $1, plus the $5 participation fee. The study was carried out over seven sessions, ranging from 23 to 67 subjects, and took 35 min on average. The mean earnings per subject were $13.35; the study paid out a total of $4125. There was no deception throughout. The design is structured to test the following hypotheses:</p>
<list list-type="simple">
<list-item><p><italic>H</italic><sub>1</sub>: Trust (in the form of amounts sent) will increase on average with free flow CMC in T1, relative to B1, against <italic>N</italic><sub>1</sub>: no difference.</p></list-item>
<list-item><p><italic>H</italic><sub>2</sub>: Mean payoffs will increase in T1 with CMC, relative to B1, against <italic>N</italic><sub>2</sub>: no difference.</p></list-item>
<list-item><p><italic>H</italic><sub>3</sub>: Being a first-mover in the trust game will be significantly correlated with initiation of CMC, against <italic>N</italic><sub>3</sub>: no relationship.</p></list-item>
<list-item><p><italic>H</italic><sub>4</sub>: Being a first-mover in the trust game initiating CMC will be significantly correlated with gains within the treatment, against <italic>N</italic><sub>4</sub>: no explicit relationship with gains.</p></list-item>
</list>
<p><italic>H</italic><sub>1</sub> and <italic>H</italic><sub>2</sub> are tested to confirm treatment effects and put into the context of existing literature. <italic>H</italic><sub>3</sub> suggests certain individuals are more likely to initiate CMC, while <italic>H</italic><sub>4</sub> suggests initiation of chat carries some benefit or penalty; to test these, we restrict the analysis to the treatment, look at the time stamp of an initial message sent, then determine the role the initiator had in the trust game.</p>
<p>We recruited 270 volunteers from undergraduate classes at the University of Memphis. A characteristic breakdown of the sample is given in <xref ref-type="table" rid="T1">Table 1</xref>. Subjects were randomized into dyads. One observation of an Investor in treatment was dropped due to data collection errors. Out of 269 observations, 110 were in the control (55 dyads), 159 were in the treatment (79 dyads), and 1 Responder whose investor counterpart was dropped. Ten observations (5 dyads) involved no communication. Thus, our primary analysis involves 149 (74 dyads that communicated and 1 Responder whose Investor counterpart was dropped).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Summary statistics.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="center"><bold>Mean</bold></th>
<th valign="top" align="center"><bold>Std. Dev</bold>.</th>
<th valign="top" align="center"><bold><italic>N</italic></bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#dee1e1">
<td valign="top" align="left" colspan="4"><bold>Trust game variables</bold></td>
</tr> <tr>
<td valign="top" align="left">Investor</td>
<td valign="top" align="center">0.498</td>
<td valign="top" align="center">0.501</td>
<td valign="top" align="center">269</td>
</tr> <tr>
<td valign="top" align="left">Amount sent (vc)</td>
<td valign="top" align="center">33.791</td>
<td valign="top" align="center">29.612</td>
<td valign="top" align="center">134</td>
</tr> <tr>
<td valign="top" align="left">Returned</td>
<td valign="top" align="center">33.098</td>
<td valign="top" align="center">41.141</td>
<td valign="top" align="center">123</td>
</tr> <tr>
<td valign="top" align="left">Percent returned</td>
<td valign="top" align="center">0.838</td>
<td valign="top" align="center">0.641</td>
<td valign="top" align="center">123</td>
</tr> <tr>
<td valign="top" align="left">Payoffs (vc)</td>
<td valign="top" align="center">133.714</td>
<td valign="top" align="center">61.163</td>
<td valign="top" align="center">269</td>
</tr> <tr>
<td valign="top" align="left">Decision time (MS)</td>
<td valign="top" align="center">69921.773</td>
<td valign="top" align="center">49578.045</td>
<td valign="top" align="center">269</td>
</tr> <tr style="background-color:#dee1e1">
<td valign="top" align="left" colspan="4"><bold>Player variables</bold></td>
</tr> <tr>
<td valign="top" align="left">Risk tolerance</td>
<td valign="top" align="center">52.562</td>
<td valign="top" align="center">21.359</td>
<td valign="top" align="center">269</td>
</tr> <tr>
<td valign="top" align="left">Age</td>
<td valign="top" align="center">20.550</td>
<td valign="top" align="center">2.786</td>
<td valign="top" align="center">269</td>
</tr> <tr>
<td valign="top" align="left">Female</td>
<td valign="top" align="center">0.491</td>
<td valign="top" align="center">0.501</td>
<td valign="top" align="center">269</td>
</tr> <tr style="background-color:#dee1e1">
<td valign="top" align="left" colspan="4"><bold>CMC variables</bold></td>
</tr> <tr>
<td valign="top" align="left">Treatment</td>
<td valign="top" align="center">0.591</td>
<td valign="top" align="center">0.493</td>
<td valign="top" align="center">269</td>
</tr> <tr>
<td valign="top" align="left">CMC initiated</td>
<td valign="top" align="center">0.472</td>
<td valign="top" align="center">0.501</td>
<td valign="top" align="center">159</td>
</tr> <tr>
<td valign="top" align="left">Initiation time (MS)</td>
<td valign="top" align="center">41604.500</td>
<td valign="top" align="center">25124.963</td>
<td valign="top" align="center">70</td>
</tr> <tr>
<td valign="top" align="left">Cross-platform chat</td>
<td valign="top" align="center">0.306</td>
<td valign="top" align="center">0.462</td>
<td valign="top" align="center">47</td>
</tr> <tr>
<td valign="top" align="left">Two-way discourse</td>
<td valign="top" align="center">0.422</td>
<td valign="top" align="center">0.496</td>
<td valign="top" align="center">147</td>
</tr> <tr>
<td valign="top" align="left">Apple device</td>
<td valign="top" align="center">0.766</td>
<td valign="top" align="center">0.424</td>
<td valign="top" align="center">269</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Experiment had 270 volunteers, and data from one Investor in treatment was dropped due to a collection error.</p>
</table-wrap-foot>
</table-wrap>
<p>An underlying dimension of this study is the mobile device expertise of the subjects. Cross-platform matches presented a concern in that text and emoji images sent sometimes do not look exactly the same across different mobile platforms. This was not a common occurrence; over the entire sample. Three subjects raised concerns about technical limitations occurring with their devices. These subjects were paid the $5 participation fee and dismissed; they are not in the dataset.</p></sec>
<sec sec-type="results" id="s3">
<title>3. Results</title>
<list list-type="simple">
<list-item><p><bold>Result 1:</bold> <italic>There are significant increases in trust associated with free-flow CMC</italic>.</p></list-item>
</list>
<p><xref ref-type="fig" rid="F2">Figure 2</xref> depicts the treatment effects across the trust variables. Allowing free-flow chat results in vc 28 ($2.80) more sent on average compared to the baseline (Mann-Whitney, <italic>p</italic> &#x0003C; 0.001). These results allow us to reject the null <italic>N</italic><sub>1</sub>. Trustworthiness is roughly 22% higher in the CMC treatment; however, that difference is not significant.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Treatment Effects of CMC Baseline (B1, no communication allowed); Treatment (T1, communication allowed); <italic>n</italic> = 269 with baseline = 110 and treatment = 159; Panel 1 for Amount Sent (vc): <italic>n</italic> = 134 Investors (baseline = 55 and treatment = 79); Panel 2 for Percentage Returned (%): <italic>n</italic> = 123 Responders (baseline = 50 and treatment = 73); Panel 3 for Payoff (vc): <italic>n</italic> = 269 (baseline = 110 and treatment = 159); The 123 Responders exclude 12 players that received zero from their counterparts and include 1 Responder whose Investor counterpart was dropped (data collection error).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frbhe-02-1120448-g0002.tif"/>
</fig>
<list list-type="simple">
<list-item><p><bold>Result 2:</bold> <italic>There are significant welfare gains associated with free-flow CMC</italic></p></list-item>
</list> 
<p>A result expected from the increased trust levels, the average payoffs are vc 26.60 greater with free-flow CMC, compared to the baseline without (Mann-Whitney, <italic>p</italic>=0.006), allowing us to reject the null that they are unchanged. However, this nonparametric analysis makes it challenging to see the distribution of gains across roles in the trust game. The <xref ref-type="app" rid="A1">Appendix</xref> provides a summary table of welfare gains by roles and initiation of communication.</p>
<p>To estimate treatment effects, we employed a Tobit regression scheme, as suggested by Moffatt (<xref ref-type="bibr" rid="B25">2015</xref>). <xref ref-type="table" rid="T2">Table 2</xref> details estimates for the trust variables and payoffs across the pooled sample. Subjects in the CMC treatment send vc 32.27 ($3.22, <italic>p</italic> &#x0003C; 0.001) and earn vc 48.62 ($4.86), <italic>p</italic> &#x0003C; 0.001) more on average than those without the ability to chat. However, second-movers do not return a higher percentage compared to the baseline. As a result, first-movers see significantly reduced payoffs of vc 47.19 ($4.71, <italic>p</italic> &#x0003C; 0.001) in the trust game overall and incur an additionally decreased payoff of vc 43.77 ($4.37, <italic>p</italic> &#x0003C; 0.001) when chat is an option, for a total net effect of vc &#x02013;90.96 ($9.09). These results suggest that Investors (perhaps optimistically) send more with CMC while Responders tend toward the subgame Nash of returning nothing.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Trust variables, full sample.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="center"><bold>Sent</bold></th>
<th valign="top" align="center"><bold>Percent Ret.</bold></th>
<th valign="top" align="center"><bold>Payoff</bold></th>
</tr>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="center"><bold>(s.e.)</bold></th>
<th valign="top" align="center"><bold>(s.e.)</bold></th>
<th valign="top" align="center"><bold>(s.e.)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">CMC Treatment</td>
<td valign="top" align="center">32.272***</td>
<td valign="top" align="center">0.160</td>
<td valign="top" align="center">48.624***</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(5.652)</td>
<td valign="top" align="center">(0.134)</td>
<td valign="top" align="center">(9.159)</td>
</tr> <tr>
<td valign="top" align="left">Investor</td>
<td/>
<td/>
<td valign="top" align="center">&#x02013;47.190***</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td valign="top" align="center">(4.830)</td>
</tr> <tr>
<td valign="top" align="left">CMC Treatment * Investor</td>
<td/>
<td/>
<td valign="top" align="center">&#x02013;43.769***</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td valign="top" align="center">(11.426)</td>
</tr> <tr>
<td valign="top" align="left">Female</td>
<td valign="top" align="center">1.286</td>
<td valign="top" align="center">0.257*</td>
<td valign="top" align="center">3.872</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(5.565)</td>
<td valign="top" align="center">(0.135)</td>
<td valign="top" align="center">(5.432)</td>
</tr> <tr>
<td valign="top" align="left">Risk</td>
<td valign="top" align="center">&#x02013;0.197</td>
<td valign="top" align="center">0.007**</td>
<td valign="top" align="center">&#x02013;0.161</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.136)</td>
<td valign="top" align="center">(0.003)</td>
<td valign="top" align="center">(0.156)</td>
</tr> <tr>
<td valign="top" align="left">Intercept</td>
<td valign="top" align="center">24.001***</td>
<td valign="top" align="center">0.194</td>
<td valign="top" align="center">147.888***</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(8.691)</td>
<td valign="top" align="center">(0.212)</td>
<td valign="top" align="center">(9.741)</td>
</tr> <tr>
<td valign="top" align="left"><italic>N</italic></td>
<td valign="top" align="center">134</td>
<td valign="top" align="center">123</td>
<td valign="top" align="center">269</td>
</tr> <tr>
<td valign="top" align="left">&#x003C7;<sup>2</sup>; <italic>R</italic><sup>2</sup></td>
<td valign="top" align="center">29.98</td>
<td valign="top" align="center">8.84</td>
<td valign="top" align="center">0.43</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>*** = 1%, ** = 5%, and * = 10% los. Tobit regression estimates reported for Columns 1 and 2. Estimates are measured in experimental currency units, 10: US $1. The intercept represents the baseline. Risk Tolerance reflects a 1% change in score on a scale relevant to estimated CRRA coefficients. Column 1 shows estimates for amounts sent (trust measure), cutoff = 100. Column 2 gives estimates for the percentage returned (trustworthiness measure), cutoff = 3. The 123 Responders exclude 12 players that received zero from their counterparts and include 1 Responder whose investor counterpart was dropped (data collection error). Column 3 shows OLS estimates for Payoffs (welfare measure) with standard errors clustered at the dyad level.</p>
</table-wrap-foot>
</table-wrap>
<sec>
<title>3.1. Initiating free-flow CMC</title>
<list list-type="simple">
<list-item><p><bold>Result 3:</bold> <italic>First-movers initiate CMC significantly more often than second-movers</italic></p></list-item>
</list>
<p>For a deeper understanding of the incentives to initiate CMC, we explore the likelihood of a subject starting a chat.<xref ref-type="fn" rid="fn0002"><sup>2</sup></xref> We hypothesized that Investors would be more likely to initiate as a potential screening device. <xref ref-type="table" rid="T3">Table 3</xref> details fixed effects logit estimates (dyad level) of the log odds of initiating a chat, conditional on being in the CMC treatment. The dependent variable takes the value of 1 if time stamps in the chat log indicate the player was the first to send a message. The model predicts that Investors are far more likely to initiate chat than second-movers, supporting a screening story. Women initiate chat slightly more often compared to men. Because women are no more likely than men to be first-movers (given random assignment and the balance observed in the sample), we included an interaction term to isolate the effect of female Investors (with no significant effect). Women appear more open to using communication as a social tool than males, perhaps less willing to explore the trust decision&#x02014;or more reluctant to be deceived. As one becomes more risk-tolerant, they are more likely to initiate and may reflect subjects&#x00027; attitudes toward strangers and &#x0201C;social risk&#x0201D; (Eckel and Wilson, <xref ref-type="bibr" rid="B18">2004</xref>). These findings allow us to reject <italic>N</italic><sub>3</sub>, and we continue to explore whether initiation leads to specific gains.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Conditional probability of initiating CMC in treatment.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="center"><bold>Coefficient</bold><break/><bold>(s.e.)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Investor</td>
<td valign="top" align="center">1.592***</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.551)</td>
</tr> <tr>
<td valign="top" align="left">Female</td>
<td valign="top" align="center">1.467**</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.631)</td>
</tr> <tr>
<td valign="top" align="left">Female * Investor</td>
<td valign="top" align="center">&#x02013;0.553</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.810)</td>
</tr> <tr>
<td valign="top" align="left">Risk</td>
<td valign="top" align="center">0.031**</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.012)</td>
</tr> <tr>
<td valign="top" align="left"><italic>N</italic></td>
<td valign="top" align="center">148</td>
</tr> <tr>
<td valign="top" align="left">&#x003C7;<sup>2</sup></td>
<td valign="top" align="center">30.05</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>*** = 1% and ** = 5% los. Logit regression with group-level fixed effects. Estimates reported for Column 1 represent the log odds of a player-initiated chat. Risk Tolerance reflects a 1% increase in score on the relevant scale.</p>
</table-wrap-foot>
</table-wrap>
<list list-type="simple">
<list-item><p><bold>Result 4:</bold> <italic>There is no explicit benefit or penalty to initiating a chat</italic></p></list-item>
</list>
<p><xref ref-type="table" rid="T4">Table 4</xref> details the effects of initiating chat on trust variables, conditional on the subject being in CMS treatment. First-movers see a vc 91.75 ($9.17, <italic>p</italic> &#x0003C; 0.001) unit penalty to their role with free-flow chat, accounting for the average differential illustrated in <xref ref-type="fig" rid="F2">Figure 2</xref>, yet we cannot reject <italic>N</italic><sub>4</sub>. We observe no explicit benefit nor penalty to initiating a chat, which applies to Investors and Responders alike. The total effect of the coefficients suggests that, while Investors are far more likely to start a chat, there is no realized incentive.</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Effects of initiating CMC.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="center"><bold>Sent</bold></th>
<th valign="top" align="center"><bold>Percent Ret.</bold></th>
<th valign="top" align="center"><bold>Payoff</bold></th>
</tr>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="center"><bold>(s.e.)</bold></th>
<th valign="top" align="center"><bold>(s.e.)</bold></th>
<th valign="top" align="center"><bold>(s.e.)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Initiated</td>
<td valign="top" align="center">3.234</td>
<td valign="top" align="center">&#x02013;0.160</td>
<td valign="top" align="center">3.678</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(10.773)</td>
<td valign="top" align="center">(0.224)</td>
<td valign="top" align="center">(18.517)</td>
</tr> <tr>
<td valign="top" align="left">Investor</td>
<td/>
<td/>
<td valign="top" align="center">&#x02013;91.747***</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td valign="top" align="center">(12.290)</td>
</tr> <tr>
<td valign="top" align="left">Initiated * Investor</td>
<td/>
<td/>
<td valign="top" align="center">&#x02013;1.318</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td valign="top" align="center">(15.833)</td>
</tr> <tr>
<td valign="top" align="left">Female</td>
<td valign="top" align="center">3.207</td>
<td valign="top" align="center">0.347*</td>
<td valign="top" align="center">1.692</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(10.071)</td>
<td valign="top" align="center">(0.195)</td>
<td valign="top" align="center">(9.295)</td>
</tr> <tr>
<td valign="top" align="left">Risk</td>
<td valign="top" align="center">-0.322</td>
<td valign="top" align="center">0.011**</td>
<td valign="top" align="center">&#x02013;0.225</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(0.261)</td>
<td valign="top" align="center">(0.004)</td>
<td valign="top" align="center">(0.243)</td>
</tr> <tr>
<td valign="top" align="left">Intercept</td>
<td valign="top" align="center">60.467***</td>
<td valign="top" align="center">0.117</td>
<td valign="top" align="center">200.114***</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">(16.422)</td>
<td valign="top" align="center">(0.275)</td>
<td valign="top" align="center">(17.910)</td>
</tr> <tr>
<td valign="top" align="left"><italic>N</italic></td>
<td valign="top" align="center">79</td>
<td valign="top" align="center">73</td>
<td valign="top" align="center">159</td>
</tr> <tr>
<td valign="top" align="left">&#x003C7;<sup>2</sup> or <italic>R</italic><sup>2</sup></td>
<td valign="top" align="center">1.71</td>
<td valign="top" align="center">8.01</td>
<td valign="top" align="center">0.39</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>*** = 1%, ** = 5%, and * =10% los. Tobit regression estimates reported for Columns 1 and 2. Estimates are measured in experimental currency units, vc 10: US $1. The intercept represents the male Responders in the baseline. Risk Tolerance reflects a 1% change in score on a scale relevant to estimated CRRA coefficients. Column 1 shows estimates for amounts sent (<italic>trust</italic>), cutoff = 100. Column 2 gives estimates for the percentage returned (<italic>trustworthiness</italic>), cutoff = 3. The 73 Responders exclude seven players that received zero from their counterparts and include 1 Responder whose Investor counterpart was dropped (data collection error). Column 3 shows OLS estimates for Payoffs (<italic>welfare</italic>) with standard errors clustered at dyad levels.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>3.2. Chat log analysis and message categorization</title>
<p>One downside of freeflow communication using mobile devices (and perhaps our young student subjects) is that it leads to chat data that is not as rich as that in written pre-play. The overall richness of our chat data is poor, made up of broken textspeak and emojis, allowing for little practical text analysis. Furthermore, given the sample size, there are not enough data to process using contemporary pre-trained NLP methods. The numerous instances of emojis and broken spelling complicate word frequency analysis. We also note that, unlike many studies, we only advised subjects that a chat function was available but did not instruct them how to exploit it.</p>
<p>Charness and Dufwenberg (<xref ref-type="bibr" rid="B12">2006</xref>) famously employ pre-play message categorization and find evidence that ex-ante, unenforceable &#x0201C;statements of intent&#x0201D; enhance trustworthy behavior and resulting gains. The driver of such behavior is guilt aversion which forces players in the trust game to fulfill their promises. We note that in the pre-play setting, such cheap talk &#x0201C;promises&#x0201D; cannot receive a response and, thus, do not constitute an agreement. In contrast, free-flow communication facilitates the potential for the terms of an unenforceable bargain to be struck and observed by the investigator. For example,</p>
<list list-type="simple">
<list-item><p>Investor: Hello</p></list-item>
<list-item><p>Responder: Sup, send me 50</p></list-item>
<list-item><p>Investor: That was my plan too</p></list-item>
</list>
<p>Freeflow CMC also allows for dyads to readily explore characteristics of each other (screening and signaling) to statistically discriminate. One upside of our data is numerous instances of emojis that incorporate skin tone or affective content, which serve as signals (see Babin, <xref ref-type="bibr" rid="B4">2020</xref>). We see numerous examples of chat that suggest screening or signaling. For example,</p>
<list list-type="simple">
<list-item><p>Investor: I don&#x00027;t want this to be random. All you a boy or a girl? [SIC]</p></list-item>
<list-item><p>Responder: Can I get something? Boy</p></list-item>
<list-item><p>Investor: What color is your hair?</p></list-item>
<list-item><p>Responder: I&#x00027;m black. What are you?</p></list-item>
<list-item><p>Investor: I&#x00027;m black too!</p></list-item>
</list>
<p>We did our best to follow a categorization method in the mindset of Charness and Dufwenberg (<xref ref-type="bibr" rid="B12">2006</xref>). Three evaluators were contracted to code the <italic>overall theme or context</italic> of dyadic messaging as consisting of <italic>a deal, screening/signaling (s/s) content, a mix (deal and s/s), empty talk (gibberish or nonaccepted offers), or no communication</italic>. <xref ref-type="table" rid="T5">Table 5</xref> details the chat log breakdown. The dynamic nature of these chats meant we could not effectively include this information in regression analysis. Only 11 (13.92%) of the 79 dyadic chats could be reasonably viewed as exclusively cheap talk deals. Some messages involved proposals and few were accepted. Twenty-eight (35.4%) dyadic chats had distinct s/s content, suggesting that players were extremely interested in identifying information about their random partner or signaling something about themselves. On the suggestion of a reviewer, we tried to isolate the differential impacts of screening chat on Investor payoffs. Average Investor payoffs (vc) by chat group are as follows: Deal, 131.27 (sd 27.75); Mix, 102.59 (26.05); s/s, 98.38 (18.37); Empty, 85.97 (39.28). However, we cannot demonstrate the statistical significance of differences across chat types by using <italic>t</italic> or Kruskal-Wallis <italic>H</italic> tests.<xref ref-type="fn" rid="fn0003"><sup>3</sup></xref> Of the 79 Investors in the CMC treatment, 23 (29.1%) had final payoffs greater than the initial endowment. We do observe some instances of the terms of deals being violated. Thus, deals cannot fully account for all gains for Investors, which suggests some degree of benefit from screening. However, we do not identify an initiation effect in regression analysis, muting the screening story somewhat.</p>
<table-wrap position="float" id="T5">
<label>Table 5</label>
<caption><p>Chat themes by dyads.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="center"><bold>Number of dyads</bold></th>
<th valign="top" align="center"><bold>Percentage</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Deal</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">13.92</td>
</tr> <tr>
<td valign="top" align="left">Screening/signaling (s/s)</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">20.25</td>
</tr> <tr>
<td valign="top" align="left">Mix (Deal and s/s)</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">15.19</td>
</tr> <tr>
<td valign="top" align="left">Empty talk</td>
<td valign="top" align="center">35</td>
<td valign="top" align="center">44.30</td>
</tr> <tr>
<td valign="top" align="left">No communication</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">6.33</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>Chats reported from 79 dyads in treatment.</p>
</table-wrap-foot>
</table-wrap></sec>
</sec>
<sec sec-type="conclusions" id="s4">
<title>4. Conclusion</title>
<p>The goal of this experiment was to identify how incorporating free-flow electronic messaging (CMC) can affect behavior in the trust game, isolate associated welfare gains, and identify the role most likely to initiate chat. Using sequential linguistic analysis of dyadic chats, we found a significant number has cheap talk deals and screening or signaling content. We show that levels of trust and average payoffs increase with the inclusion of CMC.</p>
<p>The first main takeaway is that free-flow communication matters in trust decisions leading to welfare gains. Ultimately, those windfalls go to second-movers. This accents the current state of the literature. Second, first-movers initiate chats far more often than second-movers. However, few benefits are directly tied to being the initiator of discourse. Both parties in a dyadic trust relationship have important strategic considerations and move conditional on the expectations of others. <italic>A priori</italic> beliefs typically guide these expectations, but so will any information obtained. However, communication is not required but rather volunteered. Thus, we believe that this is a screening story in which cheap talk rules. However, there are two other <italic>role dependent</italic> explanations: (1) by the nature of their first-mover status in the trust game, Investors may perceive a cognitive imperative to be the leader in discourse, and (2) less cooperative Responders do not initiate as they do not want to commit to an action; thus Investors are forced to initiate. There might be disutility associated with the <italic>absence</italic> of discourse, and the Investors take it upon themselves to alleviate the awkwardness.</p>
<p>We considered that the first to chat might be an attempt to &#x0201C;misrepresent&#x0201D; themselves as a player type generally considered a preferable counterpart, muting the screening effect of initiation. At the same time, much of the banter involves more traditional cheap talk bargaining (unaccepted offers). Exploring these concurrent exchanges would require a deeper analysis of chat logs (such as using NLP) from a far larger sample, and we leave these concerns to future research.</p></sec>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p></sec>
<sec sec-type="ethics-statement" id="s6">
<title>Ethics statement</title>
<p>The studies involving human participants were reviewed and approved by University of Memphis Institutional Review Board, &#x00023;PRO-FY2017-5. The patients/participants provided their written informed consent to participate in this study.</p></sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.</p>
</sec>
</body>
<back>
<ack>
<p>We are grateful for the support and methodological insights from Catherine Eckel, Rick K. Wilson, Andrew Hussey, Jamin Speer, David Blake Johnson, Sage Graham, Steven Kistler, and editors and two reviewers, which greatly improved the manuscript. This article was presented at the 2017 Economic Science Association and Southern Economic Association Meetings; thank you to all the participants for the thoughtful comments.</p>
</ack>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
<sec sec-type="disclaimer" id="s8">
<title>Publisher&#x00027;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>
<sec sec-type="supplementary-material" id="s9">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/frbhe.2023.1120448/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/frbhe.2023.1120448/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/></sec>
<fn-group>
<fn id="fn0001"><p><sup>1</sup>In linguistics, <italic>discourse analysis</italic> aims to reveal an agent&#x00027;s socio-psychological characteristics by studying the sequence of their &#x0201C;words&#x0201D;&#x02014;spoken, texted, emojis, gestures, etc. The social implications of communication are discussed in Dawes et al. (<xref ref-type="bibr" rid="B15">1977</xref>), while linguistic views relating CMC to the projection of identity are found in Crystal (<xref ref-type="bibr" rid="B14">2004</xref>) and Graham (<xref ref-type="bibr" rid="B21">2015</xref>). One&#x00027;s choice of electronic &#x0201C;words&#x0201D; is inexorably linked to the &#x0201C;self&#x0201D; one chooses to project, and such projections influence economic actions.</p></fn>
<fn id="fn0002"><p><sup>2</sup>Table 6 in the <xref ref-type="app" rid="A1">Appendix</xref> tabulates payoffs by player role and by who initiated the chat.</p></fn>
<fn id="fn0003"><p><sup>3</sup>We observe a comparable level of empty talk to that in Charness and Dufwenberg (<xref ref-type="bibr" rid="B12">2006</xref>), some of which might suggest disinterest in the study or in the replies of counterparts.</p></fn>
</fn-group>
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<app-group>
<app id="A1">
<title>Appendix</title>
<table-wrap position="float" id="T6">
<label>Table 6</label>
<caption><p>Payoffs (vc) by role and initiation of communication.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="center"><bold>Mean</bold></th>
<th valign="top" align="center"><bold>SD</bold></th>
<th valign="top" align="center"><bold><italic>N</italic></bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#dee1e1">
<td valign="top" align="left" colspan="4">Control</td>
</tr> <tr>
<td valign="top" align="left">Investors</td>
<td valign="top" align="center">95.13</td>
<td valign="top" align="center">9.89</td>
<td valign="top" align="center">55</td>
</tr> <tr>
<td valign="top" align="left">Responders</td>
<td valign="top" align="center">140.85</td>
<td valign="top" align="center">29.71</td>
<td valign="top" align="center">55</td>
</tr> <tr>
<td valign="top" align="left">Two sample t-test</td>
<td valign="top" align="center" colspan="3"><italic>p</italic>-value &#x0003C; 0.001</td>
</tr> <tr style="background-color:#dee1e1">
<td valign="top" align="left" colspan="4">CMC initiated by Investor</td>
</tr> <tr>
<td valign="top" align="left">Investors</td>
<td valign="top" align="center">99.8</td>
<td valign="top" align="center">34.28</td>
<td valign="top" align="center">54</td>
</tr> <tr>
<td valign="top" align="left">Responders</td>
<td valign="top" align="center">191.37</td>
<td valign="top" align="center">77.59</td>
<td valign="top" align="center">54</td>
</tr> <tr>
<td valign="top" align="left">Two sample t-test</td>
<td valign="top" align="center" colspan="3"><italic>p</italic>-value &#x0003C; 0.001</td>
</tr> <tr style="background-color:#dee1e1">
<td valign="top" align="left" colspan="4">CMC initiated by Responder</td>
</tr> <tr>
<td valign="top" align="left">Investors</td>
<td valign="top" align="center">96.15</td>
<td valign="top" align="center">37.07</td>
<td valign="top" align="center">20</td>
</tr> <tr>
<td valign="top" align="left">Responders</td>
<td valign="top" align="center">189.9</td>
<td valign="top" align="center">72.58</td>
<td valign="top" align="center">21</td>
</tr> <tr>
<td valign="top" align="left">Two sample t-test</td>
<td valign="top" align="center" colspan="3"><italic>p</italic>-value &#x0003C; 0.001</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>The imbalance in &#x0201C;CMC initiated by responder&#x0201D; resulted from an investor counterpart dropped due to a data error. Payoffs include initial endowments for all players. We do not report the statistics for the dyads with no communication as there are only five observations.</p>
</table-wrap-foot>
</table-wrap>
</app>
</app-group>
</back>
</article>