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Average Testing and the Efficient Boundary

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  • Itai Arieli
  • Yakov Babichenko
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    Abstract

    We propose a simple adaptive procedure for playing strategic games: average testing. In this procedure each player sticks to her current strategy if it yields a payoff that exceeds her average payoff by at least some fixed \epsilon > 0; otherwise she chooses a strategy at random. We consider generic two-person games where both players play according to the average testing procedure on blocks of k-periods. We demonstrate that for all k large enough, the pair of time-average payoffs converges (almost surely) to the 3\epsilon-Pareto efficient boundary.

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    File URL: http://ratio.huji.ac.il/sites/default/files/publications/dp567.pdf
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    Bibliographic Info

    Paper provided by The Center for the Study of Rationality, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp567.

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    Length: 31 pages
    Date of creation: Feb 2011
    Date of revision:
    Handle: RePEc:huj:dispap:dp567

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    Cited by:
    1. Pradelski, Bary S.R. & Young, H. Peyton, 2012. "Learning efficient Nash equilibria in distributed systems," Games and Economic Behavior, Elsevier, vol. 75(2), pages 882-897.

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