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Large Non-Anonymous Repeated Games

Author

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  • Nabil I. Al-Najjar
  • Rann Smorodinsky

Abstract

Saborian [8], following Green [4], studies a class of repeated games where a player's payoff depends on his stage action and an anonymous aggregate outcome, and shows that long-run players behave myopically in any equilibrium of such games. In this paper we extend Sabourian's results to games where the aggregate outcome is not necessarily an anonymous function of players' actions, and where players strategies may depend non-anonymously on signals of other players' behavior. Our argument also provides a conceptually simpler proof of Green and Sabourian's analysis, showing how their basic result is driven by bounds on how many pivotal players there can be in a game.

Suggested Citation

  • Nabil I. Al-Najjar & Rann Smorodinsky, 1998. "Large Non-Anonymous Repeated Games," Discussion Papers 1250, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1250
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    References listed on IDEAS

    as
    1. Drew Fudenberg & David Levine & Wolfgang Pesendorfer, 2008. "When Are Nonanonymous Players Negligible?," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 6, pages 95-120, World Scientific Publishing Co. Pte. Ltd..
    2. George J. Mailath & Andrew Postlewaite, 1990. "Asymmetric Information Bargaining Problems with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 351-367.
    3. Green, Edward J., 1980. "Noncooperative price taking in large dynamic markets," Journal of Economic Theory, Elsevier, vol. 22(2), pages 155-182, April.
    4. Sabourian, Hamid, 1990. "Anonymous repeated games with a large number of players and random outcomes," Journal of Economic Theory, Elsevier, vol. 51(1), pages 92-110, June.
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