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Correlated equilibria of games with many players

Author

Listed:
  • Hans Keiding

    (Institute of Economics, University of Copenhagen, Studiestraede 6, DK-1455 Copenhagen K, Denmark.)

  • Bezalel Peleg

    (Institute of Mathematics and Center for Rationality and Interactive Decision Theory, The Hebrew University of Jerusalem, Givat Ram, 91904 Jerusalem, Israel)

Abstract

Let Gm,n be the class of strategic games with n players, where each player has m\geq2 pure strategies. We are interested in the structure of the set of correlated equilibria of games in Gm,n when n ->\infty. As the number of equilibrium constraints grows slower than the number of pure strategy profiles, it might be conjectured that the set of correlated equilibria becomes large. In this paper, we show that (1) the average relative measure of the set of correlated equilibria is smaller than 2-n; and (2) for each 1

Suggested Citation

  • Hans Keiding & Bezalel Peleg, 2000. "Correlated equilibria of games with many players," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(3), pages 375-389.
    • Handle: RePEc:spr:jogath:v:29:y:2000:i:3:p:375-389
    Note: Received: December 1998/Final version: March 2000
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    Keywords

    correlated equilibrium; large games;

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