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Rationality of Belief Or: Why Savage's Axioms are Neither Necessary nor Sufficient for Rationality, Second Version


Itzhak Gilboa


Yale University - Cowles Foundation; Tel Aviv University - Eitan Berglas School of Economics

Andrew Postlewaite


University of Pennsylvania - Department of Economics

David Schmeidler


Tel Aviv University

January 2007

PIER Working Paper No. 07-001

Abstract:     
Economic theory reduces the concept of rationality to internal consistency. The practice of economics, however, distinguishes between rational and irrational beliefs. There is therefore an interest in a theory of rational beliefs, and of the process by which beliefs are generated and justified. We argue that the Bayesian approach is unsatisfactory for this purpose, for several reasons. First, the Bayesian approach begins with a prior, and models only a very limited form of learning, namely, Bayesian updating. Thus, it is inherently incapable of describing the formation of prior beliefs. Second, there are many situations in which there is not sufficient information for an individual to generate a Bayesian prior. It follows that the Bayesian approach is neither sufficient not necessary for the rationality of beliefs.

Note: An updated version of this paper can be found at: http://ssrn.com/abstract=1311918

Number of Pages in PDF File: 23

Keywords: Decision making, Bayesian, Behavioral Economics

JEL Classification: B4, D8

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Date posted: January 12, 2007  

Suggested Citation

Gilboa, Itzhak, Postlewaite, Andrew and Schmeidler, David, Rationality of Belief Or: Why Savage's Axioms are Neither Necessary nor Sufficient for Rationality, Second Version (January 2007). PIER Working Paper No. 07-001. Available at SSRN: http://ssrn.com/abstract=956911 or http://dx.doi.org/10.2139/ssrn.956911

Contact Information

Itzhak Gilboa
Yale University - Cowles Foundation ( email )
Box 208281
30 Hh, Rm 14
New Haven, CT 06520-8281
United States
203-432-3699 (Phone)
203-432-6167 (Fax)
Tel Aviv University - Eitan Berglas School of Economics ( email )
P.O. Box 39040
Ramat Aviv, Tel Aviv, 69978
Israel
972-3-640-6423 (Phone)
972-3-640-9908 (Fax)
Andrew Postlewaite (Contact Author)
University of Pennsylvania - Department of Economics ( email )
3718 Locust Walk
Philadelphia, PA 19104
United States
215-898-7350 (Phone)
215-573-2057 (Fax)
HOME PAGE: http://www.econ.upenn.edu/~apostlew
David Schmeidler
Tel Aviv University ( email )
P.O. Box 39040
Ramat Aviv, Tel Aviv, 69978
Israel
+972-3-640-9643 (Phone)
+972-3-640-9357 (Fax)
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