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A characterization of consistent assessments using power sequences of strategy profiles

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  • Francesc Dilmé

    (University of Bonn)

Abstract

This paper provides a new characterization of belief consistency in extensive games. We show that all consistent assessments are supported by sequences of strategy profiles with the property that all actions with vanishing probability are played according to power functions of the sequence index. The result makes it simpler to prove or disprove that a given assessment is consistent, facilitating the use of sequential equilibria.

Suggested Citation

  • Francesc Dilmé, 2024. "A characterization of consistent assessments using power sequences of strategy profiles," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 673-693, June.
    • Handle: RePEc:spr:jogath:v:53:y:2024:i:2:d:10.1007_s00182-023-00874-z
    DOI: 10.1007/s00182-023-00874-z
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    References listed on IDEAS

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    More about this item

    Keywords

    Belief consistency; Sequential equilibria; Power sequences;
    All these keywords.

    JEL classification:

    • 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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