Belief Revision for Inductive Game Theory

22 Pages Posted: 17 Nov 2011 Last revised: 18 Nov 2011

See all articles by Koji Hasebe

Koji Hasebe

University of Tsukuba - Graduate School of Systems and Information Engineering

Ryuichiro Ishikawa

Waseda University-SILS

Date Written: November 17, 2011

Abstract

Inductive game theory captures how a player inductively derives his/her personal views from experiences. The player may have multiple views, some of which differ from the objective situation, but may revise them with further experiences. This paper gives a logical formulation of this revision process by focusing on the role of player’s beliefs. For this objective, we take the AGM approach of belief revision. The idea behind our logic is that the player’s belief state is represented by a belief set of propositional formulas, thereby describing a revision process for the belief states by using a revision operation in AGM theory. In this setting, the player’s personal views are described as models for the current belief set. We also present an application of our framework to a class of inductive games, called festival games, and show how to derive prejudices and discrimination in society.

Keywords: belief revision, levi identity, perceived experiences, inductive game theory

JEL Classification: A12, C70, D83

Suggested Citation

Hasebe, Koji and Ishikawa, Ryuichiro, Belief Revision for Inductive Game Theory (November 17, 2011). Available at SSRN: https://ssrn.com/abstract=1960974 or http://dx.doi.org/10.2139/ssrn.1960974

Koji Hasebe

University of Tsukuba - Graduate School of Systems and Information Engineering ( email )

Ibaraki, 305-8573
Japan

Ryuichiro Ishikawa (Contact Author)

Waseda University-SILS ( email )

Shinjuku, Tokyo 1658050
Japan

HOME PAGE: http://www.f.waseda.jp/r.ishikawa/

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