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Almost global convergence to p-dominant equilibrium

Author

Listed:
  • William H. Sandholm

    (Department of Economics, University of Wisconsin, 1180 Observatory Drive, Madison, WI 53706)

Abstract

A population of players repeatedly plays an n strategy symmetric game. Players update their strategies by sampling the behavior of k opponents and playing a best response to the distribution of strategies in the sample. Suppose the game possesses a ${1 \over k}$-dominant strategy which is initially played by a positive fraction of the population. Then if the population size is large enough, play converges to the ${1 \over k}$-dominant equilibrium with arbitrarily high probability.

Suggested Citation

  • William H. Sandholm, 2001. "Almost global convergence to p-dominant equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(1), pages 107-116.
    • Handle: RePEc:spr:jogath:v:30:y:2001:i:1:p:107-116
    Note: Received December 1999/Revised version November 2000
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