A New Game Equivalence, its Logic and Algebra

Journal of Philosophical Logic 48 (4):649-684 (2019)
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Abstract

We present a new notion of game equivalence that captures basic powers of interacting players. We provide a representation theorem, a complete logic, and a new game algebra for basic powers. In doing so, we establish connections with imperfect information games and epistemic logic. We also identify some new open problems concerning logic and games.

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Author Profiles

Johan Van Benthem
University of Amsterdam
Nick Bezhanishvili
University of Amsterdam