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Invariance under type morphisms: the bayesian Nash equilibrium

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  • Pintér, Miklós

Abstract

Ely and Peski (2006) and Friedenberg and Meier (2010) provide examples when changing the type space behind a game, taking a "bigger" type space, induces changes of Bayesian Nash Equilibria, in other words, the Bayesian Nash Equilibrium is not invariant under type morphisms. In this paper we introduce the notion of strong type morphism. Strong type morphisms are stronger than ordinary and conditional type morphisms (Ely and Peski, 2006), and we show that Bayesian Nash Equilibria are not invariant under strong type morphisms either. We present our results in a very simple, finite setting, and conclude that there is no chance to get reasonable assumptions for Bayesian Nash Equilibria to be invariant under any kind of reasonable type morphisms.

Suggested Citation

  • Pintér, Miklós, 2011. "Invariance under type morphisms: the bayesian Nash equilibrium," MPRA Paper 38499, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:38499
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    More about this item

    Keywords

    Games with incomplete information; Bayesian Nash Equilibrium; Type space;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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