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On the dispensable role of time in games of perfect information

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  • Dov Samet

    (Tel Aviv University)

Abstract

In Aumann (Games Econ Behav 8(1):6–19, 1995, Games Econ Behav 23(1):97–105, 1998), time is assumed implicitly in the description of games of perfect information, and it is part of the epistemic distinction between ex-ante and ex-post knowledge. We show that ex-post knowledge in these papers can be expressed by ex-ante knowledge and therefore epistemically, time is irrelevant to the analysis. Furthermore, we show that material rationality by weak dominance and by expectation can be expressed in terms of the timeless strategic form of the game.

Suggested Citation

  • Dov Samet, 2016. "On the dispensable role of time in games of perfect information," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(1), pages 375-387, March.
    • Handle: RePEc:spr:jogath:v:45:y:2016:i:1:d:10.1007_s00182-015-0510-x
    DOI: 10.1007/s00182-015-0510-x
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    References listed on IDEAS

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    1. Elmes Susan & Reny Philip J., 1994. "On the Strategic Equivalence of Extensive Form Games," Journal of Economic Theory, Elsevier, vol. 62(1), pages 1-23, February.
    2. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    3. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    4. Aumann, Robert J., 1995. "Backward induction and common knowledge of rationality," Games and Economic Behavior, Elsevier, vol. 8(1), pages 6-19.
    5. Aumann, Robert J., 1998. "On the Centipede Game," Games and Economic Behavior, Elsevier, vol. 23(1), pages 97-105, April.
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