Minimal belief change, Pareto-optimality and logical consequence

Oliver Schulte ()
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Oliver Schulte: Department of Philosophy and School of Computing Science, Simon Fraser University, Burnaby, B.C., V5A 1S6, CANADA

Economic Theory, 2002, vol. 19, issue 1, 105-144

Abstract: A rational agent changes her beliefs in response to new information; a widely held idea is that such belief changes should be minimal. This paper is an overview of the theory of minimal belief revision. I employ a decision-theoretic framework to compare various principles for minimal belief revision. The main topics covered include the AGM postulates for belief revision, belief contraction, Grove's representation theorem, axioms for conditionals, and the connections between minimal belief change and questions in formal logic. I characterize under what conditions belief revision functions are consistent with the Levi Identity, and under what conditions belief contraction functions are consistent with the Harper Identity.

Keywords: Belief revision; Mathematical logic; Conditionals; Iterated belief change. (search for similar items in EconPapers)
JEL-codes: A12 C70 D83 (search for similar items in EconPapers)
Date: 2001-09-12
Note: Received: August 20, 2000; revised version: March 19, 2001
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