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A New Game Equivalence,its Logic and Algebra |
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| Authors: | van Benthem Johan Bezhanishvili Nick Enqvist Sebastian |
| Affiliation: | 1.Institute for Logic, Language and Computation, University of Amsterdam, P.O. Box 94242, 1090, GE, Amsterdam, The Netherlands ;2.Standford University, Standford, CA, USA ;3.Tsinghua University, Beijing, China ;4.Stockholm University, Filosofiska Institutionen, 106 91, Stockholm, Sweden ; |
| 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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