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Trimmed equilibrium

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  • Valeska Groenert

Abstract

Subgame perfect equilibrium (SPE) imposes stronger rationality conditions than necessary to ensure equilibrium outcomes are consistent with its concept. This is demonstrated by characterizing the maximal collection of information sets at which play is irrelevant for an outcome’s consistency with SPE. It is shown that, without affecting the set of equilibrium outcomes, equilibrium conditions can be trimmed by relaxing all conditions on this maximal collection. Therefore a trimmed SPE is a tight version of SPE. However, because its conditions are weaker, trimmed SPE might exist even if SPE does not. This is demonstrated in an application. Copyright Springer-Verlag 2013

Suggested Citation

  • Valeska Groenert, 2013. "Trimmed equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 99-114, February.
    • Handle: RePEc:spr:jogath:v:42:y:2013:i:1:p:99-114
    DOI: 10.1007/s00182-011-0317-3
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    References listed on IDEAS

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    More about this item

    Keywords

    Subgame perfect Nash equilibrium; Equilibrium refinements; Nonexistence of equilibrium; C72;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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