PP-2003-06: Rational Dynamics and Epistemic Logic in Games

PP-2003-06: van Benthem, Johan (2003) Rational Dynamics and Epistemic Logic in Games. [Report]

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Abstract

Game-theoretic solution concepts describe sets of strategy profiles that are optimal for all players in some plausible sense. Such sets are often found by recursive algorithms like iterated removal of strictly dominated strategies in strategic games, or backward induction in extensive games. Standard logical analyses of solution sets use assumptions about players in fixed epistemic models for a given game, such as mutual knowledge of rationality. In this paper, we propose a different perspective, analyzing solution algorithms as processes of learning which change game models. Thus, strategic equilibrium gets linked to fixed-points of operations of repeated announcement of suitable epistemic statements. This dynamic stance provides a new look at the current interface of games, logic, and computation.

Item Type: Report
Report Nr: PP-2003-06
Series Name: Prepublication (PP) Series
Year: 2003
Uncontrolled Keywords: strategic game, epistemic model, update, iteration, fixed-point logic
Subjects: Logic
Depositing User: Johan Benthem
Date Deposited: 12 Oct 2016 14:36
Last Modified: 12 Oct 2016 14:36
URI: https://eprints.illc.uva.nl/id/eprint/90

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