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Regret testing: learning to play Nash equilibrium without knowing you have an opponent

Author

Listed:
  • Foster, Dean P.

    () (Wharton School, University of Pennsylvania)

  • Young, H. Peyton

    () (Johns Hopkins University and University of Oxford)

Abstract

A learning rule is uncoupled if a player does not condition his strategy on the opponent's payoffs. It is radically uncoupled if a player does not condition his strategy on the opponent's actions or payoffs. We demonstrate a family of simple, radically uncoupled learning rules whose period-by-period behavior comes arbitrarily close to Nash equilibrium behavior in any finite two-person game.

Suggested Citation

  • Foster, Dean P. & Young, H. Peyton, 2006. "Regret testing: learning to play Nash equilibrium without knowing you have an opponent," Theoretical Economics, Econometric Society, vol. 1(3), pages 341-367, September.
  • Handle: RePEc:the:publsh:199
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    References listed on IDEAS

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    More about this item

    Keywords

    Learning; Nash equilibrium; regret; bounded rationality;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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