Abstract
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.
Highlights
Logic and game theory have had a few decades of contacts with the classical results of epistemic game theory as major high-lights
We show that this perspective has already shed new light on the long-term dynamics of information exchange, Section 3, as well as on the question of extensive game rationality, Section 4
The learning setting shows striking analogies with the dynamic-epistemic logics that we have presented in this paper
Summary
Faculty of Philosophy, University of Groningen, 9700 AB Groningen, The Netherlands. Current address: Ludwig-Maximilians-Universität München, Munich Center for Mathematical. Received: 25 November 2010; in revised form: 9 February 2011 / Accepted: 11 February 2011 /
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