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Reciprocity and Shared Knowledge Structures in the Prisoner's Dilemma Game

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  • Diana Richards

    (Department of Political Science, University of Minnesota at Minneapolis St. Paul)

Abstract

A prominent solution to achieving cooperation in prisoner's dilemma situations is repeated interaction between players. Although indefinitely repeated play solves the mutual gains problem, it also creates an unsolved coordination problem because an infinite number of strategies are possible in equilibrium. This article explores whether a “shared grammar of strategies,†formalized by a knowledge-induced equilibrium, resolves the coordination problem by prescribing a unique behavioral rule. Applied to the set of strategies submitted to Axelrod's prisoner's dilemma tournament, tit for tat emerges as that unique coordinating strategy.

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  • Diana Richards, 2001. "Reciprocity and Shared Knowledge Structures in the Prisoner's Dilemma Game," Journal of Conflict Resolution, Peace Science Society (International), vol. 45(5), pages 621-635, October.
    • Handle: RePEc:sae:jocore:v:45:y:2001:i:5:p:621-635
    DOI: 10.1177/0022002701045005004
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    References listed on IDEAS

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    3. Paul E. Turner & Lin Chao, 1999. "Prisoner's dilemma in an RNA virus," Nature, Nature, vol. 398(6726), pages 441-443, April.
    4. Ken Binmore, 1994. "Game Theory and the Social Contract, Volume 1: Playing Fair," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262023636, April.
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