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When Are Nonanonymous Players Negligible?

In: A Long-Run Collaboration On Long-Run Games

Author

Listed:
  • Drew Fudenberg

    (Department of Economics, Harvard University, Cambridge, Massachusetts 02138, USA)

  • David Levine

    (Department of Economics, University of California, Los Angeles, Los Angeles, California 90024, USA)

  • Wolfgang Pesendorfer

    (Department of Economics, Princeton University, Princeton, New Jersey 08544-5264, USA)

Abstract

We examine games played by a single large player and a large number of opponents who are small, but not anonymous. If the play of the small players is observed with noise, and if the number of actions the large player controls is bounded as the number of small players grows, the equilibrium set converges to that of the game where there is a continuum of small players. This paper extends previous work on the negligibility of small players by dropping the assumption that small players' actions are “anonymous.” That is, we allow each small player's actions to be observed separately, instead of supposing that the small players' actions are only observed through their effect on an aggregate statistic.

Suggested Citation

  • 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..
    • Handle: RePEc:wsi:wschap:9789812818478_0006
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    JEL classification:

    • I10 - Health, Education, and Welfare - - Health - - - General

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