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Cooperation and Effective Computability

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Author Info
Anderlini, Luca
Sabourian, Hamid

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Abstract

A common interest game is a game in which there exists a unique pair of payoffs which strictly Pareto dominates all other payoffs. The authors consider the undiscounted repeated game obtained by the infinite repetition of such a two-player stage game. They show that, if supergame strategies are restricted to be computable within Church's thesis, the only pair of payoffs that survives any computable tremble with sufficiently large support is the Pareto-efficient pair. The result is driven by the ability of the players to use the early stages of the game to communicate their intention to play cooperatively in the future. Copyright 1995 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 63 (1995)
Issue (Month): 6 (November)
Pages: 1337-69
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Handle: RePEc:ecm:emetrp:v:63:y:1995:i:6:p:1337-69

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  1. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2004. "The Folk Theorem in Dynastic Repeated Games," Cowles Foundation Discussion Papers 1490, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  2. William R. Zame, 1995. "Non-Computable Strategies and Discounted Repeated Games," UCLA Economics Working Papers 735, UCLA Department of Economics. [Downloadable!]
    Other versions:
  3. Sheri M. Markose, 2004. "Novelty And Surprises In Complex Adaptive System (CAS) Dynamics: A Computational Theory of Actor Innovation," Economics Discussion Papers 575, University of Essex, Department of Economics. [Downloadable!]
  4. Alvaro Sandroni, 1997. "Reciprosity and Cooperation in Repeated Coordination Games: The Blurry Belief Approach," Discussion Papers 1200, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  5. Amit Pazgal, 1995. "Satisficing Leads to Cooperation in Mutual Interests Games," Discussion Papers 1126, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  6. Drew Fudenberg & David K. Levine, 1996. "Consistency and Cautious Fictitious Play," Levine's Working Paper Archive 470, David K. Levine. [Downloadable!]
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