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Cooperation and Effective Computability

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  • Anderlini, Luca
  • Sabourian, Hamid

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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Bibliographic 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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Cited by:
  1. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2004. "The Folk Theorem in Dynastic Repeated Games," Cowles Foundation Discussion Papers 1490, Cowles Foundation for Research in Economics, Yale University.
  2. Fudenberg, Drew & Levine, David, 1995. "Consistency and Cautious Fictitious Play," Scholarly Articles 3198694, Harvard University Department of Economics.
  3. Kumabe, Masahiro & Mihara, H. Reiju, 2008. "Computability of simple games: A characterization and application to the core," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 348-366, February.
  4. 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.
  5. William R. Zame & John H. Nachbar, 1996. "Non-computable strategies and discounted repeated games," Economic Theory, Springer, vol. 8(1), pages 103-122.
  6. Roman, Mihai Daniel, 2008. "Entreprises behavior in cooperative and punishment‘s repeated negotiations," MPRA Paper 37527, University Library of Munich, Germany, revised 05 Jan 2009.
  7. 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.
  8. Anderlini, Luca, 1998. "Forecasting errors and bounded rationality: An example," Mathematical Social Sciences, Elsevier, vol. 36(2), pages 71-90, September.
  9. Al-Najjar, Nabil I. & Casadesus-Masanell, Ramon & Ozdenoren, Emre, 2003. "Probabilistic representation of complexity," Journal of Economic Theory, Elsevier, vol. 111(1), pages 49-87, July.
  10. 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.
  11. Anderlini, Luca, 1999. "Communication, Computability, and Common Interest Games," Games and Economic Behavior, Elsevier, vol. 27(1), pages 1-37, April.
  12. Roman, Mihai Daniel, 2010. "A game theoretic approach of war with financial influences," MPRA Paper 38389, University Library of Munich, Germany.
  13. Markose, Sheri M., 2004. "Novelty in complex adaptive systems (CAS) dynamics: a computational theory of actor innovation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 41-49.

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