Belief Revision for Inductive Game Theory

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.