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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)

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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Bibliographic Info

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
Date of revision:
Handle: RePEc:cie:wpaper:9805

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References

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  1. Monderer, Dov & Samet, Dov & Sela, Aner, 1997. "Belief Affirming in Learning Processes," Journal of Economic Theory, Elsevier, vol. 73(2), pages 438-452, April.
  2. J Bergin & B L Lipman, 1997. "Evolution with state-dependent Mutations," Levine's Working Paper Archive 771, David K. Levine.
  3. Ellison, Glenn, 1994. "Cooperation in the Prisoner's Dilemma with Anonymous Random Matching," Review of Economic Studies, Wiley Blackwell, vol. 61(3), pages 567-88, July.
  4. Maskin, Eric & Kreps, David & Fudenberg, Drew, 1990. "Repeated Games with Long-run and Short-run Players," Scholarly Articles 3226950, Harvard University Department of Economics.
  5. Drew Fudenberg & David K. Levine, 1998. "Learning in Games," Levine's Working Paper Archive 2222, David K. Levine.
  6. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  7. Peyton Young & Dean Foster, 2010. "Cooperation in the Short and in the Long Run," Levine's Working Paper Archive 494, David K. Levine.
  8. Kandori, Michihiro, 1992. "Social Norms and Community Enforcement," Review of Economic Studies, Wiley Blackwell, vol. 59(1), pages 63-80, January.
  9. M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
  10. Drew Fudenberg & David K. Levine, 1996. "Consistency and Cautious Fictitious Play," Levine's Working Paper Archive 470, David K. Levine.
  11. S. Morris & R. Rob & H. Shin, 2010. "p-dominance and Belief Potential," Levine's Working Paper Archive 505, David K. Levine.
  12. Ariel Rubinstein, 1997. "Finite automata play the repeated prisioners dilemma," Levine's Working Paper Archive 1639, David K. Levine.
  13. Levine, David K. & Fudenberg, Drew, 2009. "Learning and Equilibrium," Scholarly Articles 4382413, Harvard University Department of Economics.
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