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Rationalizability and mixed strategies in large games

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  • Jara-Moroni, Pedro

Abstract

We show that in large games with a finite set of actions in which the payoff of a player depends only on her own action and on an aggregate value that we call the (aggregate) state of the game, which is obtained from the complete action profile, it is possible to define and characterize the sets of (Point-)Rationalizable States in terms of pure and mixed strategies. We prove that the (Point-)Rationalizable States sets associated to pure strategies are equal to the sets of (Point-)Rationalizable States associated to mixed strategies. By example we show that, in general, the Point-Rationalizable States sets differ from the Rationalizable States sets.

Suggested Citation

  • Jara-Moroni, Pedro, 2018. "Rationalizability and mixed strategies in large games," Economics Letters, Elsevier, vol. 162(C), pages 153-156.
    • Handle: RePEc:eee:ecolet:v:162:y:2018:i:c:p:153-156
    DOI: 10.1016/j.econlet.2017.11.023
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    References listed on IDEAS

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    More about this item

    Keywords

    Rationalizable strategies; Large games; Non-atomic games; Expectational coordination; Strong rationality;
    All these keywords.

    JEL classification:

    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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