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Logo of nihpaAbout Author manuscriptsSubmit a manuscriptNIH Public Access; Author Manuscript; Accepted for publication in peer reviewed journal;
 
J Neurosci. Author manuscript; available in PMC Mar 18, 2009.
Published in final edited form as:
PMCID: PMC2646169
NIHMSID: NIHMS90198
Economic games quantify diminished sense of guilt in patients with damage to the prefrontal cortex
Ian Krajbich,1 Ralph Adolphs,1,2 Daniel Tranel,2 Natalie L. Denburg,2 and Colin F. Camerer1
1 Division of the Humanities and Social Sciences, California Institute of Technology
2 Department of Neurology, The University of Iowa
Correspondence and request for materials should be addressed to R.A. (radolphs/at/caltech.edu)
Damage to the ventromedial prefrontal cortex (VMPFC) impairs concern for other people, as reflected in the dysfunctional real-life social behavior of patients with such damage, as well as their abnormal performances on tasks ranging from moral judgment to economic games. Despite these convergent data, we lack a formal model of how, and to what degree, VMPFC lesions affect an individual’s social decision-making. Here we provide a quantification of these effects using a formal economic model of choice that incorporates terms for the disutility of unequal payoffs, with parameters that index behaviors normally evoked by guilt and envy. Six patients with focal VMPFC lesions participated in a battery of economic games that measured concern about payoffs to themselves and to others: dictator, ultimatum, and trust games. We analyzed each task individually, but also derived estimates of the guilt and envy parameters from aggregate behavior across all of the tasks. Compared to control subjects, the patients donated significantly less and were less trustworthy, and overall our model found a significant insensitivity to guilt. Despite these abnormalities, the patients had normal expectations about what other people would do, and they also did not simply generate behavior that was more noisy. Instead, the findings argue for a specific insensitivity to guilt, an abnormality that we suggest characterizes a key contribution made by the VMPFC to social behavior.
Keywords: prefrontal, lesion, social preference, guilt, neuroeconomics, ventromedial
How people anticipate and react to the fortunes of others is a central issue in all social sciences but its psychological and neurobiological underpinnings are not well understood. Experimental economists and psychologists have studied how people value monetary payoffs (gains or losses) to others, using simple economic games designed to measure deviations from pure self-interest in monetary terms. The results of these studies have led to mathematical descriptions of “social preference”: models that describe how people integrate the monetary outcomes they themselves receive, with those of other players (Fehr and Schmidt, 2001;Camerer and Fehr, 2006).
A parallel line of research in patients with focal brain lesions has described qualitative patterns of altered real-life social behavior, and made inferences about the impaired social emotions that underlie it. Damage to the ventromedial prefrontal cortex (VMPFC), in particular, is known to impair real-world social functioning, decision-making, and planning (Damasio, 1994;Anderson et al., 1999;Bechara et al., 2000;Beer, et al., 2003; Anderson et. al., 2006), consistent with studies that have implicated the VMPFC in processing emotional value attributed to rewards and punishments (Fuster, 1989; Bechara et al., 1997;Rogers et al., 1999;Breiter et al., 2001;Critchley, et al., 2001; Kringelbach, 2005).
While some of these studies have investigated impairments in decision-making, the research on the abnormal social behaviors exhibited by VMPFC patients has been largely based on qualitative observation, interviews with family members, or non-choice data (Ackerly and Benton, 1947;Damasio, 1994; Anderson et al., 2006; Shamay-Tsoory et al., 2007). These data and observations suggest the hypothesis that the abnormal social behaviors following damage to the VMPFC may arise, at least in part, from impairments to social emotions, particularly guilt and envy (Shin et al., 2000; Damasio, 2003; Koenigs and Tranel 2007; Koenigs et al., 2007). However, none of the prior studies have used formal choice models to isolate and quantify behaviors that would be elicited by these social emotions. Doing so would help provide a general model of how VMPFC patients behave in social tasks and help to distinguish between several competing hypotheses about the roles of VMPFC in social behavior.
To address this hypothesis, we evaluated VMPFC lesion patients (Fig. 1) and comparison subjects on three types of games that are commonly used to measure social preferences in experimental economics—dictator, ultimatum and trust games (Camerer, 2003). We used a stochastic model of choice from economics that includes numerical measures of envy (α) and guilt (β), defined as the relative weights on the difference in earnings when others earn more (envy) or less (guilt) than oneself (Fehr and Schmidt, 1999). Using this model, we were able to analyze the pooled data from all three types of games to infer subject-specific social preference parameters and compare them across groups, expecting to see that the VMPFC lesion patients would exhibit less guilt and more envy than the comparison subjects, based on prior results which have shown that VMPFC lesion patients reject unfair ultimatum offers and behaviorally appear to show substantially diminished guilt (Koenigs and Trangel, 2007; Koenigs et al., 2007).
Figure 1
Figure 1
Neuroanatomy of the VMPFC subjects. The overlap density of lesions from the six VMPFC subjects is shown in color on coronal slices and 3-D rendered views of a brain. Each patient’s lesion was manually transferred, slice-by-slice, onto a common (more ...)
Participants
We tested six patients with focal bilateral damage to the ventromedial prefrontal cortex, encompassing both anterior and posterior sectors (see Figure 1), who had known impairments in real-life social behavior, and in particular in social emotions (Damasio, 2003;Koenigs et al., 2007), but were otherwise comparable in age, education, IQ and basic cognitive functioning to the comparison groups. Our VMPFC patients, as well as 20 brain-damaged comparisons with focal, stable lesions of the brain (BDC; with damage in diverse cortical regions but excluding the VMPFC) were recruited from the Cognitive Neuroscience Patient Registry at the University of Iowa from a larger sample (in particular, for anatomical specificity, we excluded several potential VMPFC patients because their lesions were too large and encompassed too many other sectors of the prefrontal cortex). A third comparison group consisted of 16 healthy participants (NC) of similar age and IQ (see Supplementary Table 1). All six VMPFC patients had participated in prior published studies that examined this region of the brain (Hsu et al., 2005;Koenigs et al., 2007), and had given informed consent to participate in our study.
Procedure
In a one-shot dictator game, each subject was asked to divide 50 points between him or herself and an anonymous stranger. In the context of our economic model, offering more than 0 points is an example of guilt, the preference for giving up some of one’s own payoffs in order to achieve a more equal division. In a one-shot ultimatum game, shares of 50 points were again allocated, but the recipient of the offer could accept it (in which case both players earn their respective shares) or reject it (in which case neither player gets anything). Subjects played the ultimatum game twice, once as the proposer where they were asked how much they would offer, and once as the recipient where they were asked for the minimum amount they would demand. In the context of our economic model, rejecting an offer is an example of envy, the preference for getting nothing (but an equal share) over accepting an uneven division.
We next assessed trust and trustworthiness using binary-choice “trust” games. In these games, the first player (investor) chooses to either End the game, in which case both players earn 20 points, or to Trust. If Trust is chosen, the second player (trustee) chooses to either Repay or Betray. Three versions of the trust game varied the temptation payoff T=45, T=60, and T=100. A fourth game used T=60 and changed the Repay payoffs to R=(30,30). Each subject played all four versions twice, once as the investor and once as the trustee. Variation in the willingness to Trust and Betray for various Repay/Betray payoff combinations allows us to gauge the relative weights one puts on one’s own payoffs and on equality. For more details on these games, see Supplementary Figure 1.
All subjects were tested individually at the University of Iowa, and told that they were playing against another person at Caltech with whom the experimenter was in contact over the phone. During the tasks, the experimenter spoke with the other person on the phone and described the subject’s decisions as well as asked for the other player’s decision (except for the dictator game). No other information was provided about the other player (subjects did not actually speak with the other player, nor was any information communicated about the other player’s emotional reactions). Subjects were told that in every game, including the four versions of the trust game, they were interacting with a different person. The behavioral patterns we saw in comparison subjects using this procedure were comparable to those in many other experiments in which subjects played with other people for monetary rewards.
All games were played according to a fixed strategy, but this was not known to the subjects. Every subject participated first in the dictator game, then the ultimatum game, and finally the trust games (in fixed order: T=60, T=45, T=100, and last T=60 with Repay=(30,30)). Subjects played for points throughout and were told that these would be converted to real money at the end of the experiment; they were not told of the conversion formula and every subject was given $20 at the end.
Modeling choice and guilt/envy
We used a model of economic choice in which players weigh their own payoffs against the (squared) deviations between their payoffs and what others get (Fehr and Schmidt, 1999;Bolton and Ockenfels, 2000;Charness and Rabin, 2002). The coefficients on the squared deviations are the weights on guilt and envy compared to one’s own earnings, depending on whether the deviations are above or below an equal share, respectively. Denote player 1’s payoff from a particular game as x1 and player 2’s payoff as x2. Then the model formalizes player 1’s overall utility as:
equation M1
The weights α and β measure how much people dislike earning an unfair payoff share which deviates from ½, relative to earning more money (higher x1). We consider two cases, one where the deviations are below equality, in which case the relevant parameter is envy (α), and one where the deviations are above equality, in which case the relevant parameter is guilt (β). A weight of β=0 corresponds to pure selfishness with no guilt; a person with β=0 is indifferent about the other player’s payoffs and will simply maximize his own payoffs. A higher β corresponds to a greater willingness to sacrifice one’s own payoffs to create more equal payoffs for everyone. Similarly, a weight of α=0 corresponds to pure self-interested behavior with no envy of other players’ payoffs. A high β signifies a greater willingness to sacrifice one’s own payoffs just to ensure that others won’t earn higher payoffs.
We combined this model of fairness preference with a logistic model of stochastic choice (Luce, 1959;Hsu et al., 2005). In our games, players chose between actions which create two different payoff allocations X=(x1, x2) and Y=(y1, y2). The utilities of these allocations are given by the formula above, yielding u(X) and u(Y). We assume choices are imperfectly sensitive to these differences in utility, according to the “softmax” or logit function : P(X>Y)=1/(1+e λ[u(Y)−u(X)]).
In this “noisy” decision making model, P(X>Y) is the probability that X is chosen over Y, and λ is a parameter that calibrates how responsive a player’s choices are to differences in utility. A λ=0 corresponds to pure random choice; higher values of λ mean subjects are more responsive to utility differences and more often pick the option that yields a higher utility.
The analysis of guilty decision-making was done using the dictator offer, the ultimatum offer and the trustee decisions in the trust games. The analysis of envious decision-making was done using the investor decisions in the trust games. One problem with using the trust and ultimatum games is the confound between a subject’s own sense of guilt or envy and his perception of how fair-minded others are. It is therefore necessary to estimate the envy and guilt parameters α and β, along with expectation parameters for the envy and guilt weights of others, denoted E(α) and E(β).
Parameter estimation was done using maximum likelihood estimation (MLE, see Supplementary Methods). An infeasibly large dataset would be required in order to estimate all parameters separately for each subject; given our primary interest in the social preference parameters and not the noise parameters, we estimated the two separate λ values at the group level (one each for the analyses of the decisions involving guilt, one each for the analyses of the decisions involving envy), and then were able to estimate the other parameters (α, β, E(α) and E(β)) for each subject individually.
Figure 2 summarizes the offers and demands made in the dictator and ultimatum games, out of 50 points. The data produced by comparison subjects were comparable to those in many other normal populations (Camerer, 2003). Two patterns were significant: First, VMPFC patients gave less in the dictator games (only 4.7 out of 50, compared to 12 and 18 for the comparison groups), consistent with the hypothesis that they would exhibit less guilt. Second, in the ultimatum game we did not see significant differences in the offers or demands, but a striking difference between the groups was that the gap between ultimatum offers and demands was zero for all but one of the VMPFC patients (and only a -5 point difference for that one). By contrast, comparison subjects generally offered more than they demanded (as in most other studies (Camerer, 2003)). This result is also consistent with our hypothesis about guilt, since the gap betweeen ultimatum offers and demands is an approximate measure for how much more a subject is willing to offer above what he/she believes is the minimum acceptable to the other player.
Figure 2
Figure 2
Behavioral results on dictator and ultimatum games (with standard error bars). A, Mean number of points (out of 50) given to the other player in the dictator game. VMPFC lesion patients gave significantly less than the control groups. One NC subject did (more ...)
Table 1 shows the percentage of Trust and Repay choices in the trust games. Looking at the investor behavior, the VMPFC group chose to trust less often than the BDC group in all 4 combinations, and less than the NC group in 3 out of 4 combinations (trusting equally in one case). In the trustee role, the VMPFC group repaid less often than the control groups across the board but also seemed to generally reduce their Repay rates as the incentives to Betray increased.
Table 1
Table 1
Percentages (raw proportions) of “Trust” and “Repay” choices in trust games with different temptation values T and different Repay payoffs R. The Avg column simply adds up the Trust and Repay choices across the four games, (more ...)
Because each subject played all four trust games, we were able to combine their choices to form a composite index of trust (the percentage of games in which they chose Trust) and trustworthiness (the percentage of games in which they chose Repay), denoted “Avg” in Table 1. Using this measure, the VMPFC patients were significantly less trustworthy than the NC group. The BDC group was not significantly different from the VMPFC or NC groups, reflecting the large variance in performance seen in this group. These results are consistent with our above findings that the VMPFC patients displayed less guilt, though they raise the possibility that impaired behavior on the Repay decision might result from damage to structures other than the VMPFC as well.
Table 2 shows the results of the parametric analysis for guilt and envy. As suggested by the previous literature and our results from the individual game analyses, the VMPFC patients had significantly lower β values than the comparison groups, indicating that they were relatively insensitive to guilt. To make the β parameter more concrete, we can estimate a ‘betrayal point’, which is the value of the temptation payoff T at which, according to the estimated β, a person would be just indifferent between choosing Repay and Betray in the trust game (in the games where the Repay payoffs are R=(40,40), the betrayal point is T(β) = 40 + (β/4)). Pure self-interest (β=0) would yield an inferred betrayal point of 40 (due to complete indifference to the other player’s payoff). Converting the estimated β parameters into betrayal points we get T = 47 for the VMPFC patients, lower than either of the comparison groups (T=59 for BDC, and T=91 for NC).
Table 2
Table 2
Parameter estimates derived from the pooled dataset. Median estimated parameters for guilt, envy, expected guilt and expected envy, as well as two unique λ values estimated for each group as a whole (guilt and envy analyses respectively). Superscripts (more ...)
A second finding from our analysis was that the α values for the VMPFC group were statistically indistinguishable from the comparison groups (possibly due to low statistical power and issues with the envy estimation procedure, see Supplementary Methods). This finding supports the idea that the VMPFC patients are not diminished across the board on all emotions, as also supported by other studies (Koenigs and Tranel, 2007), but rather show selective impairments on only certain social emotions.
The parameter estimates for the subjects’ beliefs about the other players’ envy and guilt parameters, E(α) and E(β), yielded no significant differences between groups. This helps to rule out the possibility that VMPFC patients behave anti-socially because of unusual beliefs about the other players. Estimates of the responsiveness parameter λ are similar across the groups and reassure us that the different groups are not simply playing more or less noisily.
Social emotions such as guilt and envy can be either assessed from subjective report of their feelings, or inferred from behavioral observation. Typically, VMPFC patients have poor insight into their emotions, and behavioral observation in the absence of a mathematical model makes identification and interpretation of the impaired processes problematic. Furthermore, it is important to use actual decisions since it has been shown that VMPFC patients do not seem to be impaired in hypothetical decision making (Leland and Grafman, 2005). Our battery of simple economic tasks for the first time shows quantitatively that patients with damage to the VMPFC are abnormally insensitive to guilt but suggests that they are not insensitive to envy.
There are lively debates in economics, psychology and cultural anthropology about the nature of social behaviors (and their evolutionary origins) (Wood and Grafman, 2003) and in cognitive neuroscience about the neural basis of social emotions and the role of the VMPFC (Berthoz et al., 2002; Moll, et al., 2003; Takahashi et al., 2004).
There is a large literature, primarily from functional imaging, that implicates the medial prefrontal cortex in “theory-of-mind” abilities - it is activated when we infer another person’s beliefs or evaluate their personality (Amodio and Frith, 2006; Saxe and Powell, 2006) or even when we think about the minds of animals (Mitchell et al., 2005). Lesion studies have pointed in particular to deficits in “affective” aspects of theory-of-mind, such as empathy, irony and social faux-pas (Shamay-Tsoory et al., 2003,2005), suggesting that the prefrontal cortex contributes to social behavior in part through the regulation of emotions, in particular social emotions (Beer et al, 2003; Ochsner and Gross, 2005). Therefore, VMPFC patients may be better viewed as dysfunctional in their ability to regulate particular social emotions. Together with our findings, these studies suggest that social emotions, such as guilt and envy, may serve to bridge the gap between decision-making in general, and social decisions, in particular. Future behavioral studies, or those using neuroimaging, could use our guilt and envy parameter estimates to make precise predictions about performance, or regional brain activation, in other social decision-making scenarios. Such studies could also benefit from a larger battery of games and measures (such as eliciting beliefs) which enable more precise estimation of guilt and envy parameters.
It is also interesting to compare our findings regarding impaired guilt with reports implicating VMPFC in processing regret (Camille et al., 2004;Coricelli et al., 2005). Both guilt and regret are distinguished from more basic emotions, like sadness or anger, in that they cannot be derived solely from one’s own present situation. In the case of guilt, the circumstances of another person must be considered as well; in the case of regret, foregone outcomes that might have been attained must be considered. Both of these additional circumstances are abstract and require the adoption of a point of view outside one’s own present circumstance. It may be that the ventromedial prefrontal cortex contributes to planning for the future for the same reason that it contributes to negotiating interactions with other people: it mediates the elicitation of emotions based on outcomes that are not directly experienced, but imagined.
In conclusion, the data from our battery of economic games point to a specific role in social behavior for the ventromedial prefrontal cortex. Some of the hypotheses regarding the mechanism by which damage to the vmPFC impairs social behavior are: (1) that it grossly diminishes or abolishes all emotions; (2) that it impairs complex theory-of-mind abilities but not emotions; (3) that it specifically impairs a subset of social emotions. Our data favor number (3) and argue for a relatively specific role regarding guilt in the face of otherwise intact abilities to think about other people (theory of mind) and ability to utilize other emotions, such as envy (Koenigs and Tranel 2007). Whether or not feelings of guilt (as opposed to their effects on motivation and behavior) are also defective in VMPFC patients remains a challenging topic for future study.
Acknowledgments
Hanna Damasio and Jessica Wisnowski (Dornsife Cognitive Neuroscience Imaging Center, USC) conducted the neuroanatomical analysis of the patients and provided the illustration of the VMPFC group. We thank all participants for their participation in the experiments, Amanda Hornaday, Kodi Scheer, and Ruth Henson for help with scheduling and testing the subjects, Ming Hsu for suggestions with analysis and comments on the manuscript, Michael Koenigs for comments on the manuscript, and Jonathan Leland for general comments. Supported by a Program Project Grant to A.R. Damasio from the National Institute of Neurological Disorders and Stroke, and by grants from the National Institute of Mental Health (R.A.), the National Institute of Drug Abuse (D.T.), the National Science Foundation (R.A. and C.F.C.), and the Gordon and Betty Moore Foundation (R.A. and C.F.C.). The authors declare no competing financial interests.
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