Abstract

Social dilemmas are mixed-motive games. Although the players have a common interest in maintaining cooperation, each may try to obtain a larger payoff by cooperating less than the other. This phenomenon received increased attention after Press and Dyson discovered a class of strategies for the repeated prisoner’s dilemma (extortionate strategies) that secure for themselves a payoff that is never smaller, but can be larger, than the opponent’s payoff. We conducted an experiment to test whether humans adopt extortionate strategies when playing a social dilemma. Our results reveal that human subjects do try to extort a larger payoff from their opponents. However, they are only successful when extortionate strategies are part of a Nash equilibrium. In settings where extortionate strategies do not appear in any Nash equilibrium, attempts at extortion only result in a breakdown of cooperation. Our subjects recognized the different incentives implied by the two settings, and they were ready to “extort” the opponent when allowed to do so. This suggests that deviations from mutually cooperative equilibria, which are usually attributed to players’ impatience, coordination problems, or lack of information, can instead be driven by subjects trying to reach more favorable outcomes.

Highlights

  • A common problem with experiments involving repeated games is how to infer the repeated game strategies employed by the subjects from the actions they choose during the game

  • The standard repeated prisoner’s dilemma (PD) downplays the importance of this conflict because it is a symmetric game and contains a symmetric, cooperative equilibrium, which is an obvious focal point for the p­ layers[38]

  • In asymmetric games, such as the STG we considered in this study, it is easier to see that mutual cooperation is not the only equilibrium candidate

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Summary

Introduction

Our results reveal that human subjects do try to extort a larger payoff from their opponents They are only successful when extortionate strategies are part of a Nash equilibrium. Their payoff is larger if they both cooperate, each of them has an incentive to defect This game is interesting because if it is played only once, mutual defection is the only rational course of action, but, if it is played repeatedly and with a sufficiently long time-horizon, cooperation becomes a Nash equilibrium (NE). Press and ­Dyson[16] attracted scholars’ attention to a somewhat neglected issue They noticed that when a social dilemma is played repeatedly, there is always some conflict of interest because each player is tempted to cooperate less than the other to reap a larger share of the gains from cooperation. Much less is known about whether human beings are able to discover

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