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Evolution and Information in a Prisoner's Dilemma Game

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Author Info
Phillip Johnson (Centro de Investigacion Economica (CIE), Instituto Tecnologico Autonomo de Mexico (ITAM))
David K. Levine (Department of Economics, UCLA)
Wolfgang Pesendorfer (Department of Economics, Princeton University)

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Abstract

In an environment of anonymous random matching, Kandori [1992] showed that with a sufficiently rich class of simple information systems the folk theorem holds. We specialize to the Prisoner's Dilemma and examine the stochastic stability of a process of learning and evolution in this setting. If the benefit of future cooperation is too small, then there is no cooperation. When the benefit of cooperation is large then only cooperation will survive in the very long run.

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Paper provided by Centro de Investigacion Economica, ITAM in its series Working Papers with number 9805.

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Length: 35 pages
Date of creation: Feb 1998
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Handle: RePEc:cie:wpaper:9805

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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. [Downloadable!] (restricted)
  2. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-56, July. [Downloadable!] (restricted)
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  3. Fudenberg, Drew & Levine, David K., 1995. "Consistency and cautious fictitious play," Journal of Economic Dynamics and Control, Elsevier, vol. 19(5-7), pages 1065-1089. [Downloadable!] (restricted)
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  4. Kandori, Michihiro, 1992. "Social Norms and Community Enforcement," Review of Economic Studies, Blackwell Publishing, vol. 59(1), pages 63-80, January. [Downloadable!] (restricted)
  5. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January. [Downloadable!] (restricted)
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  6. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)
  7. Dov Monderer & Dov Samet & Aner Sela, 1994. "Belief Affirming in Learning Processes," Game Theory and Information 9408002, EconWPA, revised 11 Aug 1994. [Downloadable!]
  8. Morris, Stephen & Rob, Rafael & Shin, Hyun Song, 1995. "Dominance and Belief Potential," Econometrica, Econometric Society, vol. 63(1), pages 145-57, January. [Downloadable!] (restricted)
  9. Ellison, Glenn, 1994. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," Review of Economic Studies, Blackwell Publishing, vol. 61(3), pages 567-88, July. [Downloadable!] (restricted)
  10. Fudenberg, Drew & Kreps, David M & Maskin, Eric S, 1990. "Repeated Games with Long-run and Short-run Players," Review of Economic Studies, Blackwell Publishing, vol. 57(4), pages 555-73, October. [Downloadable!] (restricted)
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