Modal logic and game theory: Two alternative approaches

Risk Decision and Policy 7:309-324 (2002)
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Abstract

Two views of game theory are discussed: (1) game theory as a description of the behavior of rational individuals who recognize each other’s rationality and reasoning abilities, and (2) game theory as an internally consistent recommendation to individuals on how to act in interactive situations. It is shown that the same mathematical tool, namely modal logic, can be used to explicitly model both views.

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Giacomo Bonanno
University of California, Davis

Citations of this work

Common Knowledge of Rationality in Extensive Games.Boudewijn de Bruin - 2008 - Notre Dame Journal of Formal Logic 49 (3):261-280.
When Do Introspection Axioms Matter for Multi-Agent Epistemic Reasoning?Wesley H. Holliday, Yifeng Ding & Cedegao Zhang - 2019 - Electronic Proceedings in Theoretical Computer Science 297:121–139.

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The epistemic structure of a theory of a game.Michael Bacharach - 1994 - Theory and Decision 37 (1):7-48.

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