1 Introduction
Behavioral and experimental economists have defined and tested guilt aversion (GA) and moral commitment (MC) in games, trying to understand and explain trustworthy behavior in theFootnote 1. This literature, however, has not extensively addressed potential gender differences in GA or MC. We experimentally explore whether GA and MC affect men differently than women in the laboratory. As the directional nature of such an effect is not self-evident from the few empirical studies available,Footnote 2 we do not propose directional hypotheses for our tests on gender differences.
Inspired by Vanberg (Reference Vanberg2008), we use a simple dictator game with pre-play communication to disentangle the non-monetary (potentially different) motivations that drive women's and men's actions. We distinguish motivations driven by belief-dependent GA from motivations driven by MC, which is independent of beliefs. Testing for differences in motivations is a complex task for two reasons: i) GA- and MC-driven motivations are not mutually exclusive; ii) different motivations imply different causations even though both are compatible with the same correlation between actions and expectations.
We propose a set of tests based on exogenous variations and difference-in-difference comparisons to address the above-described challenging task. In what follows, we sketch our approach and attempt to provide some intuition; more details will be introduced in later sections.
In our experiment, pairs communicate with each other and exchange promises about their potentially generous behavior in a dictator game. After communicating, the pair plays a dictator game, with one individual chosen to be the dictator and the other to be the recipient. However, with a given known probability (revealed after the communications stage is concluded), some pairs are switched, so a dictator can play with a recipient different from the one with whom he/she had previously communicated. Furthermore, the switch is revealed only to the dictators. Hence, the recipients’ expectations, their first-order beliefs (FOBs), and the dictators’ second-order beliefs (SOBs) about the recipients’ beliefs are independent of the switch.
Promises fuel expectations independently of the driving motivations. Therefore, on average, recipients who experienced promises would have higher expectations when the switching probability is low than those who experienced promises in a high switching probability scenario. In this way, we create an exogenous variation in beliefs with high or low SOBs, as dictators know that recipients do not observe whether a switch occurred. Different implications for GA can, then, be searched in the data.
Similarly, we can glean variation in intrinsic motivations by comparing, everything else equal, the behavior of a dictator asked to keep their own promise to the behavior of a dictator asked to keep the promise made by someone else. Here, MC implies that we are more likely to observe promise-keeping by the former dictators than the latter. We separately explore MC and GA by gender and test how each affects behavior across genders using a difference-in-difference approach.
In the case of MC, we focus on its marginal effect, i.e., the difference in the behavior of promisors asked to keep their own promises to that of promisors asked to keep a promise made by someone else. Then, we compare the marginal effects for men and women, respectively. Similarly, the marginal effect of GA is measured by the change in behavior due to a change in SOBs, and then, we test by gender for differences in marginal effects.
Let us compare our approach to some existing work. Vanberg (Reference Vanberg2008), Di Bartolomeo et al. (Reference Di Bartolomeo, Dufwenberg, Papa and Passarelli2019b), and Kleinknecht (Reference Kleinknecht2019) are methodologically closest to ours as they share the same experimental setup: a random dictator game with pre-play communication:
Vanberg (Reference Vanberg2008) conducted a pioneering study using an exogenous variation technique to test for the effects of MC and GA. He used a fixed 0.5 switching probability to compare the behavior of dictators who were asked to keep their own promises to the behavior of those asked to keep promises made by others. Vanberg (Reference Vanberg2008) found support in favor of MC. Vanberg (Reference Vanberg2008) also investigated how the behavior of dictators who made promises varied when their recipients had or had not received a promise from someone else. He looked for evidence in support of GA given that dictators playing with promise-receiving recipients held higher subjective second-order beliefs (SOBs). Vanberg did not find support for GA. Kleinknecht (Reference Kleinknecht2019) replicated Vanberg's (Reference Vanberg2008) experiment and did find support for GA. She also controlled for gender and found no significant differences in MC between men and women.
Di Bartolomeo et al. (Reference Di Bartolomeo, Dufwenberg, Papa and Passarelli2019b) expanded upon Vanberg (Reference Vanberg2008) and Kleinknecht (Reference Kleinknecht2019) using different switching probabilities (high and low) to create a double exogenous variation. They tested for both GA and MC-driven motivations and found evidence in support of both. Additionally, Vanberg's and Kleinknecht's approaches have the questionable feature that they compared dictators based on whether their new recipients received a promise. This approach involves two variables: the SOBs of dictators and the promise status of recipients. This double comparison is not ideal from an experimental point of view. Instead, Di Bartolomeo et al. (Reference Di Bartolomeo, Dufwenberg, Papa and Passarelli2019b) addressed the issue by comparing dictators who played with recipients who differ only in their expectations and not in their promise-receiving status.
Compared to the above studies, our paper provides a double value added. First, we extend Kleinknecht (Reference Kleinknecht2019) by considering a double exogenous variation in SOBs and promises. As a result, we cleanly isolate and test for both MC- and GA-driven motivations within and between genders. Second, we explore gender sensitivity to GA (or MC) by considering a difference in difference.
Our study also contributes to the extensive literature in experimental economics that explores gender differences in how individuals are motivated.Footnote 3 Specifically, it is close to two papers which explore gender differences in GA with opposing results. Nihonsugi et al. (Reference Nihonsugi, Tanaka and Haruno2022) recently presented tests designed to study gender differences in GA using psychological survey questions and a trust game. They found that men are more guilt-averse than women. Our results are in line with those of Nihonsugi et al. (Reference Nihonsugi, Tanaka and Haruno2022) although they use a different experimental design and do not allow for communication. By contrast, Else-Quest et al. (Reference Else-Quest, Higgins, Allison and Morton2012) report some evidence in the opposite direction. They found that women are more guilt prone than men.Footnote 4
Finally, our paper is related to the rich literature on GA and MC focused on eliciting GA parameters at the individual level. While these studies do not primarily focus on gender differences, they do report some findings, and most of the measured differences are insignificant (see Bellemare et al., Reference Bellemare, Sebald and Suetens2018; Bellemare & Sebald, Reference Bellemare and Sebald2023).Footnote 5 The non-belief-dependent motivations relevant to our point of view (about MC) are discussed and surveyed, among others, by Ellingsen and Johannesson (2004) and Vanberg (Reference Vanberg2008). Promises are thought to create commitments to fulfilling contractual obligations.
Sections 2 and 3 present our experimental design, hypotheses, and procedures. Section 4 shows our results. Section 5 offers a concluding discussion.
2 The experiment and our hypotheses
2.1 The game
We use a two-player dictator game augmented with a) bilateral pre-play communication, b) random role assignment and asymmetric information, and c) a partner-switching mechanism. It works in five steps:
1) Participants are matched in pairs. Each pair can communicate by sending messages. The subjects know they will play a random dictator game, but will know later who will act in which role.
2) After the communication phase, each player is assigned the role of dictator or recipient.
3) After the communication phase and before making the allocation decision, a given proportion of dictators have their partners switched. Both players know the proportion of switched pairs, but only dictators are told whether their partner has been switched. The recipients are not informed whether a switch occurred.
4) After the switch, dictators can read the messages (sent by another dictator) received by their new partners.
5) Each pair plays the game (form) shown in Fig. 1. Dictators choose Roll or Don’t Roll. The payoffs are in euros, and the recipient's payoff is listed on top. The information set “00” indicates that the recipient is not informed how the payoff of “0” realized.
2.2 Hypotheses
Our exogenous-variation-based tests involve a subgroup of dictators. Specifically, we focus on dictators who made and “read” promises and refer to this group as -dictators. Non-switched -dictators must decide whether to keep their own promises, while switched -dictators are promisors who are re-matched with a recipient who received a promise from another dictator. As recipients are not informed whether a switch occurred, FOBs and SOBs are independent of the switch. However, these beliefs can (and we show that they do) depend on the switching probability: a low (high) switching probability is associated with high (low) beliefs. Unless we explicitly say otherwise, we always refer to -dictators. Thus, our paper only speaks about GA or MC of those subjects who have made a promise.
2.2.1 Exogenous variations
Our design leads to different exogenous variations, which can be used to test for GA (as in Di Bartolomeo et al., Reference Di Bartolomeo, Dufwenberg, Papa and Passarelli2019b) and MC (as in Vanberg, Reference Vanberg2008). We begin by introducing our hypotheses about SOBs. We denote by the average SOBs of a dictator who is in a game with switching probability.
We start with three preliminary hypotheses that are crucial to all that follow since the subsequent hypotheses are conditional on their relevance. We explore whether there is any difference in the SOBs between women and men for any given switching probability (H1a) and whether our exogenous variations in SOBs work well for both genders (H1b). Finally, we wonder whether the potential variation of expectations observed for men and women is of the same magnitude for both genders, i.e., whether the variation in the probability of being switched (from high to low) generates the same change in expectations among individuals involved in a promise (H1c).
Formally:
H1a (no difference in expectations between genders): Subjects’ expectations are independent of gender: for
H1b (exogenous variations in beliefs within genders): Expectations of subjects involved in a promise are higher when the switching probability is low, for both men and women: for .
H1c (marginal exogenous variations in beliefs between genders): Changes in the switching probabilities imply the same changes in expectations for men and women initially involved in a promise: .
In the case of H1a and H1c, we have no directional expectation. By contrast, H1b is expected to hold based on the extensive literature supporting a correlation between promise-keeping behavior and SOBs (for related results and discussion, see Vanberg, Reference Vanberg2008; Di Bartolomeo et al., Reference Di Bartolomeo, Dufwenberg, Papa and Passarelli2019b).
It should be noted that we elicit expectations before the switch occurs, so our tests are based on the expectations (FOBs and SOBs) regarding the actual communications that took place. We assume that the same beliefs would have been observed when subjects are asked to evaluate communication between others, meaning that a dictator involved in communication would evaluate it similarly even if they were not directly involved.Footnote 6 We elicited expectations beforehand to avoid distortions in elicitation due to timing and potential confusion generated in subjects who read their communications first and then the communication made by others (when switched) and were asked to evaluate the latter. This assumption only pertains to switched dictators, who are assumed to have—everything else equal—the same beliefs as the non-switched ones. Note that this assumption is supported by similar studies using a different procedure (after-communication elicitation, see e.g., Vanberg, Reference Vanberg2008).
2.2.2 Guilt aversion and gender
We focus on switched subjects to explore GA. In this way, we can abstract from any MC motivations for subjects’ behaviors and concentrate on GA only. To formalize our hypotheses, we define by the average Roll rate of -dictator, who played a game with a switching probability, who has been .
We test two main hypotheses. The first one is a clear implication of GA. Assuming that H2 holds, since a -dictator's SOB is higher when the switching probability is low, if said г-dictator is guilt-averse, he/she is more likely to Roll.Footnote 7 Formally:
H2 (implication of GA within genders): Switched г-dictators are more likely to Roll when the switching probability is low: for .
We shall test H2 for each gender.
Furthermore, we explore differences in GA sensitivity between genders. We compare the potential increase in the average Roll rate for men associated with a rise in SOBs to the equivalent potential increases for women. Formally, assuming H1b and H1c hold, we use difference-in-difference in GA sensitivity between men and women as follows:
H3 (guilt sensitivity): In the case of low switching probability (high SOBs), male and female switched -dictators are equally likely to Roll: .
Note that the above test makes sense if the exogenous variation increased SOBs independent of gender (see H1c.) Note also that H2 is a directional hypothesis, while H3 is not. We will, therefore, use one-tailed tests for the former and two-tailed tests for the latter. As argued in the introduction, we do not impose any directional hypothesis for H3, as different theories may suggest opposite conclusions.
2.2.3 Moral commitment and gender
We need to reintroduce non-switched dictators to test MC-driven motivations. As in Vanberg (Reference Vanberg2008) and Kleinknecht (Reference Kleinknecht2019), we will compare the behavior of dictators asked to keep their promises to those of promisor dictators asked to keep a promise made by someone else. Clearly, only the former dictators could be driven by MC motivations. Hence, observing a difference in average behavior across the two groups of dictators would provide evidence in favor of MC.Footnote 8
Again, we test two hypotheses. We first explore whether subjects are more likely to keep their own word than promises made by others (H4). As in Kleinknecht (Reference Kleinknecht2019), we perform Vanberg's test of MC within gender. However, we do it for different levels of SOBs. This leads to four tests to implement Vanberg (Reference Vanberg2008)'s test combining gender (women/men) and SOBs (high/low) differences. Assuming that H1 holds, the tests are as follows:
H4 (implication of MC within gender): For a given switching probability, not-switched -dictators are more likely to Roll than switched -dictators who read a promise. That is, for and . Considering all values for and , we obtain four MC tests.
The next hypothesis is a between-gender test to explore differences in MC sensitivity between genders when SOBs are either high or low. We compare the increase in the average Roll rate for men, presumably driven by MC, to the analogous increase for women. In other words, we perform a difference-in-difference comparison in MC sensitivity between men and women.
We run the following tests for each switching probability:
H5 (different moral sensitivities between genders): For a given switching probability, male or female non-switched and switched -dictators who read a promise are equally likely to Roll. That is for .
Note that, H4 is a directional hypothesis, while H5 is not. As in the case of H3, we do not impose any directional hypothesis for H5, as different theories may lead to opposite conclusions.
3 ProceduresFootnote 9
The experiment was conducted at the CIMEO Experimental Economics Lab of Sapienza University of Rome. The experiment involved 384 undergraduate student subjects (12 sessions of 8 rounds, 32 subjects in each session) recruited using an online system. Upon arrival, subjects were randomly assigned to 32 isolated computer terminals. Three assistants gave instructions (see the Supplementary Material online) and checked that participants followed the procedures correctly. Before starting the experiment, subjects completed a short questionnaire testing their comprehension.
Each session consisted of eight rounds, with a perfect stranger matching. Payoffs, as reported in Fig. 1, were computed in tokens (with one token = 0.50 euro). At the end of each session, one round was randomly chosen for payment. FOBs and SOBs were elicited by asking subjects to guess their counterparts’ actions and guesses. Incentives were provided for all rounds except the one chosen for payment, implying that subjects had no incentive to hedge against bad outcomes and, thus, misreport their beliefs.Footnote 10 All subjects also received a fixed show-up fee of 2.50 tokens.
In each round, the following five stages were implemented:
1) Communication. Subjects were randomly matched to form 16 chatting pairs, with a random determination of who would start the chat. As in Vanberg's design, each chat consisted of four one-way messages in sequence. Each message could be of at most 90 characters and was cataloged as involving a promise or not (see below).
2) Role assignment and revelation of the switching probability. After the communication phase, roles were randomly assigned in each pair, and subjects were informed of that. Then, depending on the treatment, the switching probability was announced as either 25% (low) or 75% (high).
3) Belief elicitation. This stage has two parts:
a. FOBs: each recipient was asked to guess their matched dictator's expected action.
b. SOBs: dictators were asked to guess the expected action guessed by their matched recipient.
4) Switching. Depending on the treatment, 25% or 75% of recipients were switched. Only dictators were informed whether a switch occurred. Dictators with switched recipients were allowed to read the prior conversation of their new recipient.
5) Dictators’ action. All dictators chose between Roll or Don’t Roll. All subjects were informed of their payoff for the round. Recipients were not informed whether they had been switched, nor could they infer the dictator's choice when their payoffs were zero.Footnote 11
Messages were classified according to Vanberg's protocol. Following Vanberg (Reference Vanberg2008), we refer to each chat sent by a subject in a round as a “message.” We had 3,072 messages (32 subjects in 12 sessions of 8 rounds.) We asked two research assistants to code the messages according to whether they conveyed a promise or statement of intent indicating that the subject would Roll. Ex-ante, we decided to randomly use the code of only one of the two assistants. The assistants were unaware of this choice.
We use a within-subject design to compare averages at the session level. Our data are independent at the session level, but not at the individual level.
4 Results
Our sample contains 2,240 promises out of 3,072 messages. The promise rates of men and women (71% vs. 75%) are not statistically different (Z = 0.47, p = 0.638).Footnote 12 All statistics are obtained using the Wilcoxon signed-rank test, which compares data at the session level. Our data are independent at the session level, but not at the individual level.Footnote 13 We test the hypotheses discussed in Sect. 2.2. We first test for gender differences in SOBs and if our exogenous variation works. We show that there is no difference in SOBs between women and men for any given switching probability (H1a) and that the exogenous variation works for both genders (H1b) in the same manner (H1c).
Table 1 reports the SOBs of -dictators. The switching probabilities are reported by row, and the dictators’ gender is listed by column. For instance, the value in the first cell of the table reports that 73% of women-dictators who made a promise believe that the recipient thinks that the dictator will roll after making a promise when the switching probability is low (the average ). Standard deviations and number of observations are indicated in parentheses.
Treatment |
Switching Probability |
Women |
Men |
---|---|---|---|
(a) |
(b) |
||
(i) |
25% (low) |
0.73 |
0.76 |
(0.34/266) |
(0.27/251) |
||
(ii) |
75% (high) |
0.66 |
0.62 |
(0.35/229) |
(0.35/234) |
We test H1a by comparing the SOBs by row. We do not find any statistically significant difference between men's and women's SOBs, when the chance of being re-matched is low, 76% vs. 73% (Z = 1.26, p = 0.209), or high, 62% vs. 66% (Z = -0.16, p = 0.875). Our results support the non-existence of a gender difference in SOBs (H1a).
The data in Table 1 are also consistent with exogenous variations in expectations (H1b). Promisors’ SOBs reported in column (a) are high (low) when the chance of being re-matched is low (high). The result holds for each gender: for women (column (a)): 0.73 vs. 0.66 (Z = 2.04, p = 0.020); and for men (column (b)): 0.76 vs. 0.62: (Z = 3.06, p = 0.001).Footnote 14
Finally, the data supports H1c. The observed increase in SOBs for men is 0.14, while for women is 0.07 and 0.14 vs. 0.07 are not statistically different (Z = 1.17, p = 0.239). We do not find any significant differential movement in second-order beliefs, but the directional effect indicates that men change their beliefs more strongly than women. This is a potential concern for the identification of GA, as we will find that men are more sensitive to GA than women are.Footnote 15 Alternative approaches can fix second-order beliefs by design and thus do not require the assumption that these beliefs are differentially affected by the treatments (Bellemare et al., Reference Bellemare, Sebald and Suetens2018, Reference Bellemare, Sebald and Suetens2019). Here, we follow Vanberg's approach (Reference Vanberg2008) for comparison with related literature.Footnote 16
We focus next on GA (H2-H3). Table 2 reports the Roll rates of switched -dictators when the probability of switching is low or high. As we consider only switched pairs, dictators’ motivations cannot be related to MC. Moreover, switched dictators’ SOBs are likely to be high when the switching probability is low and vice versa.
Women |
Men |
||
---|---|---|---|
Treatment |
Switching Probability |
Switch (a) |
Switch (b) |
(i) |
25% (low) [high SOBs] |
0.33 |
0.50 |
(0.48/45) |
(0.51/46) |
||
(ii) |
75% (high) [low SOBs] |
0.35 |
0.27 |
(0.48/161) |
(0.44/161) |
Remember that -dictators are matched with recipients who received a promise. Again, switching probabilities are reported by row, and the dictators’ gender is listed by column.
For instance, the value in the first cell of Table 2, 0.33, is the average Roll rate of female switched -dictators playing the game with a low switching probability (and high SOBs), i.e., . Again, standard deviations and number of observations are indicated in parentheses.
Next, we look at H2 (GA) for men and women. The average Roll rate of men is significantly higher when the probability of being re-matched is low (high SOBs) rather than high (low SOBs): 0.50 vs. 0.27 (Z = 2.24, p = 0.013). Conversely, the average Roll rate of switched women is not significantly different in the two matching probability treatments: 0.33 vs. 0.35 (Z = -0.20, p = 0.422). That is, H2 is confirmed for men but not for women. This supports the idea that GA drives men's motivations to a greater extent than women's.Footnote 17 We further explore this point in H3.
To test H3 (guilt aversion sensitivities), we compare the change in Roll rates of men for the two different matching probabilities (0.23 = 0.50–0.27) to the corresponding change in Roll rates of women (-0.02 = 0.33–0.35). H3 is supported: 0.23 vs. -0.02 (Z = 1.73, p = 0.084).Footnote 18
We finally test for MC (H4-H5). We augment Table 2 with additional information about the Roll rate of not-switched -dictators.
Table 3 reports the Roll rates of switched and non-switched -dictators by gender (columns) for the different switching probabilities (rows). Remember that SOBs are likely to be high when the switching probability is low and vice versa. Again, standard deviations and number of observations are indicated in parentheses.
Women |
Men |
|||||
---|---|---|---|---|---|---|
Treatment |
Switching Probability |
Switch (a) |
No-switch (b) |
Switch (c) |
No-switch (d) |
|
(i) |
25% (low) [high SOBs] |
0.33 |
0.52 |
0.50 |
0.53 |
|
(0.48/45) |
(0.50/221) |
(0.51/46) |
(0.50/205) |
|||
(ii) |
75% (high) [low SOBs] |
0.35 |
0.56 |
0.27 |
0.60 |
|
(0.48/161) |
(0.50/68) |
(0.44/161) |
(0.49/73) |
Following Vanberg (Reference Vanberg2008), we test for MC by comparing the average Roll rate of non-switched dictators (who made a promise) to that of switched dictators (who made a promise and are re-matched with a recipient who received a promise from someone else). We test MC motivation within each gender (H4).
We run four tests by combining the two genders and the two switching probabilities (i.e., two levels of SOBs.) H4a (H4b) focuses on women's MC-driven motivation when the switching probability is low (high), while H4c (H4d) focuses on men's MC-driven motivation when the switching probability is low (high).
The outcomes of the tests are listed below (all tests are two-tailed.)
1. H4a: 0.52 vs. 0.33 (Z = 2.39, p = 0.016)
2. H4b: 0.56 vs. 0.35 (Z = 2.31, p = 0.020)
3. H4c: 0.53 vs. 0.50 (Z = 0.08, p = 0.937)
4. H4d: 0.60 vs. 0.27 (Z = 2.12, p = 0.034)
Our results support MC-driven motivations for women (H4a and H4b), while MC-driven motivations for men are only supported when SOBs are low (H4d).
Finally, we test for MC sensitivity between genders (H5). We have two cases, one for each SOB level (H5a and H5b for low and high SOBs, respectively.) We look at gender differences by rows.
Let us start with the case of low SOBs; if the switching probability is high (row (ii) in Table 3), the data do not provide support for any difference in the MC impact within genders, i.e., (0.56–0.35 = 0.21) vs. (0.60–0.27 = 0.33), Z = -0.18, p = 0.859. Hence, H5a holds.
Next, we focus on the case of high SOBs (row (i) in Table 3). We compare the change in Roll rates of women (0.52–0.33 = 0.19) to the corresponding change in Roll rates of men (0.53–0.50 = 0.03). If SOBs are high, H5b is not supported at the 5%-level although it is close: compare 0.19 vs. 0.03 (Z = 1.73, p = 0.084).Footnote 19
Our results tend to support the conclusion that women are sensitive to MC independently of their SOBs, while men are only sensitive to MC when their SOBs are low.
5 Conclusion
We explored guilt aversion (GA) and moral commitment (MC) motivations in a random dictator game with pre-play communication. With the main exception of Kleinknecht's (Reference Kleinknecht2019) contribution discussed above, few studies focused on GA- or MC-related gender effects and the results are mixed. Our experimental results support the idea that moral commitment drives women's behavior more than men's and the hypothesis that men are more guilt-averse than women.
We discussed our GA-finding with the psychologist Leda Cosmides, who, along with her husband, anthropologist John Tooby, made seminal contributions to the development of evolutionary psychology. Tooby and Cosmides (Reference Tooby, Cosmides, Lewis, Haviland-Jones and Barrett2008, p. 177) argue that “each emotion evolved to deal with a particular, evolutionarily recurrent situation.” This statement may suggest that emotions, such as guilt, may affect men and women differently if the games they play cast the sexes in asymmetric roles.
Our finding is then consistent with the following perspective: men may have a more substantial evolutionary motivation to be known to be prone to guilt for child-bearing reasons. A pregnant mother spends nine-month gestation when the father could conceivably take off and produce offspring with other women. If women anticipated such opportunistic behavior, they might not agree to conceive in the first place. If a prospective father is sensitive to feelings of guilt, that may prevent him from leaving the mother and, therefore, secure her trust.Footnote 20
Granted, other situations may favor women's sensitivity to guilt more than that of men. When we presented the story of the previous paragraph to Leda Cosmides, she suggested one: A man who is investing in a woman's offspring (post-birth) must trust that she has been sexually faithful to him. In this situation, she may benefit more than he does from being guilt prone. All in all, this may invite the reflection that gender differences could be domain specific.
However, our lab experiment resembles neither of the two evolutionarily potentially relevant settings we just described. The idea should be properly tested in an appropriate experimental design that captures the evolutionary elements. This is beyond the scope of the current paper and, therefore, left to future developments, which we believe are promising.
Acknowledgements
We are grateful to Giuseppe Attanasi and Leda Cosmides for helpful discussions. Project funded by the European Union – Next Generation EU (UPB SpagnoloG22 Prin CUP: E53D23006140006).
Funding
Open access funding provided by Università degli Studi di Roma La Sapienza within the CRUI-CARE Agreement.
Data availability
Further information and data can be requested directly from the authors.
Appendix A
This appendix describes the FOBs and SOBs elicitation procedure. After the communication phase, recipients were asked to guess what their (unknown) dictator would choose to do. They had been told the switching probability (either 75% or 25%). Recipients expressed their guesses by ticking one of the five-point scale in Table 4. This scale is the same as in Vanberg. Beliefs are then re-scaled to 1.00, 0.75, 0.50, 0.25, and 0.00.
The dictator will |
choose Roll |
choose Don’t Roll |
|||
---|---|---|---|---|---|
Certainly |
Probably |
Unsure |
Probably |
Certainly |
|
Please tick your guess |
◯ |
◯ |
◯ |
◯ |
◯ |
Your earnings if the dictator |
|||||
chooses Roll |
0.65 tokens |
0.60 tokens |
0.50 tokens |
0.35 tokens |
0.15 tokens |
chooses Don’t Roll |
0.15 tokens |
0.35 tokens |
0.50 tokens |
0.60 tokens |
0.65 tokens |
After dictators were told whether their paired recipient had been switched and read their previous communication, they were asked to guess their guess. Specifically, they had to guess which of the five points of Table 4 had been ticked by their counterpart. Correct guesses earned 0.50 tokens.
Appendix B
The paper focuses on between and within gender clean tests of GA and MC for -dictators. Here, we perform four additional tests akin to Vanberg's (Reference Vanberg2008) and Kleinknecht's (Reference Kleinknecht2019) GA test. Recipients who received a promise hold higher FOBs than recipients who did not receive a promise. GA test can then be built by comparing the behavior of dictators whose switched recipients received a promise from someone else with that of dictators whose switched recipients did not receive a promise.
Our data are reported in Table 5, where we also consider the Roll rates of switched -dictators matched with a recipient who did not receive a promise.
Gender |
||||
---|---|---|---|---|
Treatment |
Switching probability |
Message |
Women (a) |
Men (c) |
(i) |
25% |
Read (high SOBs) |
0.33 |
0.50 |
(0.48/45) |
(0.51/46) |
|||
Do not Read (low SOBs) |
0.18 |
0.22 |
||
(0.39/17) |
(0.42/23) |
|||
(ii) |
75% |
Read (high SOBs) |
0.35 |
0.27 |
(0.48/161) |
(0.44/161) |
|||
Do not Read (low SOBs) |
0.30 |
0.29 |
||
(0.46/50) |
(0.46/56) |
Table 5 allows us to compare the behavior of switched -dictators facing a recipient who, everything else equal, received a promise (high SOB) to one who did not (low SOB). However, as discussed in the main text, the two kinds of compared dictators differ along two dimensions: 1) SOBs and 2) message read.) Hence, the outcomes of these tests in supporting or not GA can be questionable.
Our findings are as follows:
1. In treatment (i), the data support GA or a different attitude toward the message read between men and women. For the latter, we compare 0.33 (high SOBs) vs. 0.18 (Low SOBs): Z = 2.34, p = 0.019, while for men, we compare 0.50 (high SOBs) vs. 0.22 (low SOBs): Z = 2.30, p = 0.022. Differently from Kleinknecht (Reference Kleinknecht2019), we find support for men GA.
2. In treatment (ii), no GA support is found. In the case of the women, we compare 0.35 (high SOBs) vs. 0.30 (low SOBs): Z = 1.06, p = 0.289. In the case of men, we compare 0.27 (high SOBs) vs. 0.29 (low SOBs): Z = 0.94, p = 0.347.