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A Modal Logic of Epistemic Games
Games 2011, 2(1), 52-86; doi:10.3390/g2010052

Toward a Theory of Play: A Logical Perspective on Games and Interaction

1,2,* , 3 and 4,†
1 ILLC, University of Amsterdam, 1090 GE Amsterdam, The Netherlands 2 Department of Philosophy, Stanford University, Stanford, CA 94305, USA 3 TiLPS, Tilburg University, Warandelaan 2, 5037 AB Tilburg, The Netherlands 4 Faculty of Philosophy, University of Groningen, 9700 AB Groningen, The Netherlands Current address: Ludwig-Maximilians-Universität München, Munich Center for Mathematical Philosophy, Ludwigstrasse 31, 80539 Munich, Germany.
* Author to whom correspondence should be addressed.
Received: 25 November 2010 / Revised: 9 February 2011 / Accepted: 11 February 2011 / Published: 16 February 2011
(This article belongs to the Special Issue Epistemic Game Theory and Modal Logic)
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Logic and game theory have had a few decades of contacts by now, with the classical results of epistemic game theory as major high-lights. In this paper, we emphasize a recent new perspective toward “logical dynamics”, designing logical systems that focus on the actions that change information, preference, and other driving forces of agency. We show how this dynamic turn works out for games, drawing on some recent advances in the literature. Our key examples are the long-term dynamics of information exchange, as well as the much-discussed issue of extensive game rationality. Our paper also proposes a new broader interpretation of what is happening here. The combination of logic and game theory provides a fine-grained perspective on information and interaction dynamics, and we are witnessing the birth of something new which is not just logic, nor just game theory, but rather a Theory of Play.
Keywords: dynamic epistemic logic; games; interaction dynamic epistemic logic; games; interaction
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Van Benthem, J.; Pacuit, E.; Roy, O. Toward a Theory of Play: A Logical Perspective on Games and Interaction. Games 2011, 2, 52-86.

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