Template-Type: ReDIF-Paper 1.0 Author-Name: Michael Magill Author-Name-First: Michael Author-Name-Last: Magill Author-Name: Klaus Nehring Author-Name-First: Klaus Author-Name-Last: Nehring Author-Name: Julian R. Betts Author-Name-First: Julian R. Author-Name-Last: Betts Author-Workplace-Name: Department of Economics, University of California Davis Title: CAPACITIES AND PROBABILISTIC BELIEFS: A PRECARIOUS COEXISTENCE Abstract: This paper raises the problem of how to define revealed probabilistic beliefs in the context of the capacity/Choquet Expected Utility model. At the center of the analysis is a decision-theoretically axiomatized definition of ""revealed unambiguous events."" The definition is shown to impose surprisingly strong restrictions on the underlying capacity and on the set of unambiguous events; in particular, the latter is always an algebra. Alternative weaker definitions violate even minimal criteria of adequacy. Rather than finding fault with the proposed definition, we argue that our results indicate that the CEU model is epistemically restrictive, and point out that analogous problems do not arise within the Maximin Expected Utility model. Length: 26 File-URL: https://repec.dss.ucdavis.edu/files/CWZwHe7CECk2aX7TvYRkNQJh/97-8.pdf File-Format: application/pdf Number: 263 Classification-JEL: KeyWords: Creation-Date: 20030107 Handle: RePEc:cda:wpaper:263