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Semantics for intuitionistic epistemic logics of shallow depths for game theory

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  • Nobu-Yuki Suzuki

Abstract

Epistemic logic of shallow depths has been developed by Kaneko–Suzuki using classical logic. In this paper, we adopt intuitionistic logic as the base logic to limit each player’s reasoning to constructive one. The resulting logical system is denoted by IG $$_{EF}$$ , and we introduce epistemic possible world semantics for IG $$_{EF}$$ . We show the soundness and completeness of IG $$_{EF}$$ with respect to this semantics for it. We also show some applications to game theoretical decision making. Copyright Springer-Verlag 2013

Suggested Citation

  • Nobu-Yuki Suzuki, 2013. "Semantics for intuitionistic epistemic logics of shallow depths for game theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 85-110, May.
    • Handle: RePEc:spr:joecth:v:53:y:2013:i:1:p:85-110
    DOI: 10.1007/s00199-012-0707-1
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    Cited by:

    1. Mamoru Kaneko, 2013. "Symposium: logic and economics—interactions between subjective thinking and objective worlds," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 1-8, May.

    More about this item

    Keywords

    Logic and game theory; Epistemic logic; Intuitionistic logic; Kripke-type semantics; C70;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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