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Branching Time Logic, Perfect Information Games And Backward Induction

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  • Giacomo Bonanno

Abstract

The logical foundations of game-theoretic solution concepts have so far been developed within the confines of epistemic logic. In this paper we turn to a different branch of modal logic, namely temporal logic, and propose to view the solution of a game as a complete prediction about future play. We extend the branching time framework by adding agents and by defining the notion of prediction. We show that perfect information games are a special case of extended branching time frames and that the backward-induction solution is a prediction. We also provide a characterization of backward induction in terms of the property of internal consistency of prediction.

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  • Giacomo Bonanno, "undated". "Branching Time Logic, Perfect Information Games And Backward Induction," Department of Economics 98-13, California Davis - Department of Economics.
    • Handle: RePEc:fth:caldec:98-13
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    File URL: http://www.econ.ucdavis.edu/working_papers/98-13.pdf
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    1. Asheim, Geir B., 2002. "On the epistemic foundation for backward induction," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 121-144, November.

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