Which Way to Cooperate

Cooperation in real-world dilemmas takes many forms. We introduce a class of two-player games that permits two distinct ways to cooperate in the repeated game. One way to cooperate is to play cutoff strategies, which rely solely on a player's private value to defection. The second cooperative strategy is to take turns, which relies on publicly available information. Our initial experiments reveal that almost all cooperators adopt cutoff strategies. However, follow-up experiments in which the distribution of values to defection are made more similar show that all cooperators now take turns. Our results offer insight into what form a cooperative norm will take: for mundane tasks or where individuals otherwise have similar payoffs, taking turns is likely; for difficult tasks that differentiate individuals by skill or by preferences, cutoff cooperation will emerge.

[1]  John H. Miller,et al.  Rational Cooperation in the Finitely Repeated Prisoner's Dilemma: Experimental Evidence , 1993 .

[2]  J. Hirshleifer From weakest-link to best-shot: The voluntary provision of public goods , 1983 .

[3]  Eyal Winter,et al.  Coordination and Learning Behavior in Large Groups with Asymmetric Players , 2002, Games Econ. Behav..

[4]  Eyal Winter,et al.  An experimental study of coordination and learning in iterated two-market entry games , 2000, Economic Theory.

[5]  R. Selten,et al.  End behavior in sequences of finite prisoner's dilemma supergames , 1986 .

[6]  S. Athey,et al.  Optimal Collusion with Private Information , 1999 .

[7]  J. Asker,et al.  Bidding Rings , 2022 .

[8]  William T. Harbaugh,et al.  The Carrot or the Stick: Rewards, Punishments and Cooperation , 2002 .

[9]  Katerina Sherstyuk,et al.  Collusion and Equilibrium Selection in Auctions , 2007 .

[10]  Veronika Grimm,et al.  Overcoming Incentive Constraints? The (In-)Effectiveness of Social Interaction , 2006 .

[11]  Amnon Rapoport,et al.  Individual strategies in a market entry game , 1995 .

[12]  G. Harrison,et al.  An Experimental Evaluation of Weakest Link/Best Shot Models of Public Goods , 1989, Journal of Political Economy.

[13]  BÓ Pedrodal,et al.  Cooperation under the Shadow of the Future : Experimental Evidence from Infinitely Repeated Games , 2005 .

[14]  Arthur Zillante Spaced Out Monopolies: Theory and Empirics of Alternating Product Releases , 2005 .

[15]  John Duffy,et al.  Cooperative behavior and the frequency of social interaction , 2009, Games Econ. Behav..

[16]  W. Arthur Inductive Reasoning and Bounded Rationality , 1994 .

[17]  Lorenz Goette,et al.  Performance Pay and the Erosion of Worker Cooperation: Field Experimental Evidence , 2006, SSRN Electronic Journal.

[18]  Jesse A. Schwartz,et al.  Collusive Bidding in the FCC Spectrum Auctions , 2001 .

[19]  Joseph Farrell Cheap Talk, Coordination, and Entry , 1987 .

[20]  Daniel Kahneman,et al.  EXPERIMENTAL ECONOMICS: A PSYCHOLOGICAL PERSPECTIVE , 1988 .

[21]  P. Klemperer What Really Matters in Auction Design , 2001 .

[22]  Bradley J. Ruffle,et al.  The Strategies Behind Their Actions: A New Method to Infer Repeated-Game Strategies and an Application to Buyer Behavior , 2002 .

[23]  Hans-Theo Normann,et al.  The Impact of the Termination Rule in Cooperation Experiments , 2004 .

[24]  Michihiro Kandori,et al.  The Use of Information in Repeated Games with Imperfect Monitoring , 1992 .

[25]  Anthony M. Kwasnica,et al.  The Choice Of Cooperative Strategies In Sealed Bid Auctions , 2000 .

[26]  Dirk Helbing,et al.  How Individuals Learn to Take Turns: Emergence of Alternating Cooperation in a Congestion Game and the Prisoner's Dilemma , 2005, Adv. Complex Syst..

[27]  Jörg Oechssler,et al.  Two are few and four are many: number effects in experimental oligopolies , 2004 .

[28]  Gary Chamberlain,et al.  Analysis of Covariance with Qualitative Data , 1979 .

[29]  U. Fischbacher z-Tree: Zurich toolbox for ready-made economic experiments , 1999 .

[30]  R. Porter,et al.  Detection of Bid Rigging in Procurement Auctions , 1992, Journal of Political Economy.

[31]  Robert H. Porter,et al.  Collusion in Auctions , 1989 .

[32]  Rüdeger Baumann,et al.  Games of Strategy , 1982 .

[33]  David P. Myatt On the Theory of Strategic Voting , 2007 .

[34]  John Orbell,et al.  The Minimal Contributing Set as a Solution to Public Goods Problems , 1983, American Political Science Review.

[35]  C. Keser,et al.  Conditional cooperation and voluntary contributions to public goods , 2000 .