Template-Type: ReDIF-Paper 1.0
Author-Name: Giacomo Bonanno
Author-Name-First: Giacomo
Author-Name-Last: Bonanno
Author-Workplace-Name: Department of Economics, University of California Davis
Title: A Kripke-Stalnaker-Lewis semantics for AGM belief revision
Abstract: We provide a new characterization of AGM belief revision in terms of a Kripke-Stalnaker-Lewis semantics. We consider pointed frames consisting of a set of states, a distinguished state interpreted as the actual state, a Kripke belief relation and a Stalnaker-Lewis selection function. Adding a valuation to a frame yields a model. Given a model, we identify the initial belief set K with the set of formulas that are believed at the actual state and the revised belief set K*A (prompted by the input represented by formula A) as the set of formulas that are the consequent of conditionals that (1) are believed at the actual state and (2) have A as antecedent. We show that this class of models characterizes the set of AGM belief revision functions, in the following sense: (1) each model gives rise to a (possibly partial) belief revision function that can be completed into a full AGM belief revision function, and (2) for every AGM belief revision function there is a model whose associated belief revision function coincides with it.
Length: 22
File-URL: https://repec.dss.ucdavis.edu/files/zeivp6nNi9yd8FuNhogV6PuT/Conditionals%20and%20AGM.pdf
File-Format: application/pdf
Number: 354
Classification-JEL: C0
KeyWords: belief revision, conditional, belief relation, selection function, supposition, information
Creation-Date: 20230222
Handle: RePEc:cda:wpaper:354