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What Learning Models Tell Us to Expect in Three-by-Three Bimatrix Games

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Abstract

This paper extends several existing learning models to investigate their fixed points (their long run predictions of play). The fixed points of the model are not necessarily at the Nash equilibria of the payoff matrices but are a function of both the Nash equilibria and the parameters of the model. The stability of these fixed points also depends on both the characteristics of the payoff matrix used and the parameters of the models. These new findings indicate that behaviour previously though to be inconsistent with theory may not necessarily be so.

Suggested Citation

  • Nicole Marie Bouchez, 2001. "What Learning Models Tell Us to Expect in Three-by-Three Bimatrix Games," Royal Holloway, University of London: Discussion Papers in Economics 00/3, Department of Economics, Royal Holloway University of London, revised Feb 2001.
    • Handle: RePEc:hol:holodi:0003
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    More about this item

    Keywords

    Learning; Beliefs; Reinforcement.;
    All these keywords.

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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