Template-Type: ReDIF-Paper 1.0
Author-Name: Giacomo Bonanno
Author-Name-First: Giacomo
Author-Name-Last: Bonanno
Author-Name: Cédric Dégremont
Author-Name-First: Cédric
Author-Name-Last: Dégremont
Author-Workplace-Name: Department of Economics, University of California Davis
Title: Logic and Game Theory
Abstract: : Johan van Benthem has highlighted in his work that many questions arising in the analysis of strategic interaction call for logical and computational analysis. These questions lead to both formal and conceptually illuminating answers, in that they contribute to clarifying some of the underlying assumptions behind certain aspects of game-theoretical reasoning. We focus on the insights of a part of the literature at the interface of game theory and mathematical logic that gravitates around van Benthem's work. We discuss the formal questions raised by the perspective consisting in taking games as models for formal languages, in particular modal languages, and how eliminative reasoning processes and solution algorithms can be analyzed logically as epistemic dynamics and discuss the role played by beliefs in game-theoretical analysis and how they should be modeled from a logical point of view. We give many pointers to the literature throughout the paper.
Length: 31
File-URL: https://repec.dss.ucdavis.edu/files/DWN9Y2M6pSD6Hr4oorBgSQLg/13-6.pdf
File-Format: application/pdf
Number: 11
Classification-JEL: C7
KeyWords: Game theory, Modal logic, formal languages, epistemic dynamics, backward induction
Creation-Date: 20130507
Handle: RePEc:cda:wpaper:11