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Fairness in Repeated Games

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Author Info
Matthew Rabin.
Abstract

In addition to pursuing their material self-interest, people are motivated to help those who are kind to them, and to hurt those who are mean to them. Such social preferences influence behavior most when material stakes are small. Rabin (1993) defin es an outcome reflecting such preferences as fairness equilibrium. This paper applies a version of fairness equilibrium to repeated games. Some fairness-equilibrium outcomes in small-stakes, one-shot games are shown to be fairness-equilibrium outcomes e very period in incremental games, which are finitely repeated games of large overall material stakes but very small per-period stakes. For instance, it is a fairness equilibrium for players to cooperate in every period of the finitely repeated Prisoners' Dilemma with arbitrarily high total payoffs, so long as the per-period material payoffs are small. I consider more generally whether fairness equilibria in small-stakes, one shot games can be the stationary fairness-equilibrium outcomes in incremental g ames, providing sufficient and (approximately equivalent) necessary conditions for this result to hold for all fairness preferences meeting my general assumptions. I also show that outcomes that yield either player below her minmax payoffs (which is ofte n true of fairness equilibria in small-stakes, one-shot games) cannot be stationary fairness-equilibrium outcomes for any fairness preferences meeting the general assumptions in incremental games of sufficiently large overall payoffs.

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Publisher Info
Paper provided by University of California at Berkeley in its series Economics Working Papers with number 97-252.

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Date of creation: 01 Jan 1997
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Handle: RePEc:ucb:calbwp:97-252

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  1. Doruk Iris & Luís Santos-Pinto, 2008. "Tacit Collusion under Fairness and Reciprocity," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 09.03, Université de Lausanne, Faculté des HEC, DEEP. [Downloadable!]
  2. John Duffy & Felix Munoz-Garcia, 2009. "Patience or Fairness? Analyzing Social Preferences in Repeated Games," Working Papers 383, University of Pittsburgh, Department of Economics, revised May 2009. [Downloadable!]
  3. Alejandro Tatsuo Moreno, . "Habit Formation and Oligopolistic Competition," School of Economics Working Papers EC200703, Universidad de Guanajuato. [Downloadable!]
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