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Correlation, Learning and the Robustness of Cooperation

  • Nicola Dimitri

    (Universita di Siena)

Registered author(s):

    In the stage game Prisoner's Dilemna one line of research which is pursued to justify the cooperative outcome is based upton some idea of correlation. This paper aims at testing whether correlation could support a cooperative behavior in the long run, by embedding the infinitely repeataed game within a simple evolutionary framework. In particular, the main theorem states that just two born cooperative agents might remain cooperative forever with strictly positive probability. This robustness result appears to be particularly strong since the model allows cooperative agents to switch strategy and start defecting from a certain time onward, but not vice versa. (Copyright: Elsevier)

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    File URL: http://dx.doi.org/10.1006/redy.1999.0078
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    Article provided by Elsevier for the Society for Economic Dynamics in its journal Review of Economic Dynamics.

    Volume (Year): 3 (2000)
    Issue (Month): 2 (April)
    Pages: 311-329

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    Handle: RePEc:red:issued:v:3:y:2000:i:2:p:311-329
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    1. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    2. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
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    4. Mailath, George J., 1992. "Introduction: Symposium on evolutionary game theory," Journal of Economic Theory, Elsevier, vol. 57(2), pages 259-277, August.
    5. AUMANN, Robert J., . "Subjectivity and correlation in randomized strategies," CORE Discussion Papers RP 167, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    8. Milgrom, Paul & Roberts, John, 1991. "Adaptive and sophisticated learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 82-100, February.
    9. Glen Ellison, 2010. "Learning, Local Interaction, and Coordination," Levine's Working Paper Archive 391, David K. Levine.
    10. Fudenberg, D. & Kreps, D.M., 1992. "Learning Mixed Equilibria," Working papers 92-13, Massachusetts Institute of Technology (MIT), Department of Economics.
    11. Fudenberg, Drew & Maskin, Eric, 1990. "Evolution and Cooperation in Noisy Repeated Games," American Economic Review, American Economic Association, vol. 80(2), pages 274-79, May.
    12. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
    13. Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229.
    14. Zemel, Eitan, 1989. "Small talk and cooperation: A note on bounded rationality," Journal of Economic Theory, Elsevier, vol. 49(1), pages 1-9, October.
    15. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    16. Glenn Ellison, 1994. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 567-588.
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