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Published February 2000 | public
Journal Article

Choquet Rationality

Abstract

Consider a decision problem under uncertainty for a decision maker with known (utility) payoffs over prizes. We say that an act is Choquet (Shafer, Bernoulli) rational if for some capacity (belief function, probability) over the set of states, it maximizes her "expected" utility. We show that an act may be Choquet rational without being Bernoulli rational, but it is Choquet rational if and only if it is Shafer rational.

Additional Information

© 2000 Elsevier Inc. Received 25 August 1998, Revised 9 September 1999. A previous version of this paper was circulated with the title "Choquet Rationalizability." We are indebted to Paolo Battigalli, Kim Border, Larry Epstein, John Ledyard, Massimo Maxinacci, Igal Milchtaich, Klaus Nehring and audiences at Berkeley, Caltech, Paris VI and the LOFT 2 conference (Torino, December 1996), the Conference on "Rationality in Game Theory and Utility Theory" (Caen, June 1997) and ESEM 97 (Toulouse, August 1997) for helpful comments and discussion. An associate editor provided exceptionally detailed comments and suggestions, which helped substantially giving the paper the present compact form. The second author is grateful to the Division of the Humanities and Social Sciences at Caltech for its hospitality during the period in which this paper was written.

Additional details

Created:
August 19, 2023
Modified:
October 17, 2023