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Correlation, Learning and the Robustness of Cooperation

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  • Nicola Dimitri

    (Universita di Siena)

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    Abstract

    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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    Bibliographic Info

    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. 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.
    2. Drew Fudenberg & David Kreps, 2010. "Learning Mixed Equilibria," Levine's Working Paper Archive 415, David K. Levine.
    3. Glen Ellison, 2010. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," Levine's Working Paper Archive 631, David K. Levine.
    4. 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.
    5. Drew Fudenberg & David K. Levine, 1998. "Learning in Games," Levine's Working Paper Archive 2222, David K. Levine.
    6. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
    7. Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229.
    8. D. Fudenberg & E. Maskin, 2010. "Evolution and Cooperation in Noisy Repeated Games," Levine's Working Paper Archive 546, David K. Levine.
    9. Binmore, K. & Samuelson, L., 1990. "Evolutionary Stability In Repeated Games Played By Finite Automata," Working papers 90-29, Wisconsin Madison - Social Systems.
    10. R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
    11. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    12. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    13. Binmore, Kenneth G. & Samuelson, Larry, 1992. "Evolutionary stability in repeated games played by finite automata," Journal of Economic Theory, Elsevier, vol. 57(2), pages 278-305, August.
    14. Akihiko Matsui, 1989. "Cheap Talk and Cooperation in the Society," Discussion Papers 848, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    15. Mailath, George J., 1992. "Introduction: Symposium on evolutionary game theory," Journal of Economic Theory, Elsevier, vol. 57(2), pages 259-277, August.
    16. Zemel, Eitan, 1989. "Small talk and cooperation: A note on bounded rationality," Journal of Economic Theory, Elsevier, vol. 49(1), pages 1-9, October.
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    Cited by:
    1. David K Levine & Aldo Rustichini, 2000. "Introduction: The Dynamic Games Special Issue," Levine's Working Paper Archive 2127, David K. Levine.

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