A Theory of Quantifiable Beliefs
ANU Working Papers in Economics and Econometrics No. 338
40 Pages Posted: 10 Jan 2001
Date Written: November 2000
Building upon the works of Anscombe and Aumann (1963) and Karni and Schmeidler (1981), we develop a general axiomatic theory of quantifiable beliefs - a form of probabilistic sophistication that does not preclude state-dependent preferences and does not require the reduction of compound lotteries. The theory includes the state-dependent expected utility model of Karni and Schmeidler (1981) and the state-independent non-expected utility model of Machina and Schmeidler (1995) as special cases. The theory is flexible enough to admit recursivity in the decision-making process. One specific example of this recursive class is shown to be compatible with a quantifiable beliefs version of Schmeidler's (1989) Choquet expected utility maximizing model and thus capable of rationalizing Ellsberg-paradox type behavior.
Keywords: subjective probability, quantifiable beliefs, state-dependent preferences, probabilistic sophistication, non-expected utility
JEL Classification: D80, D81
Suggested Citation: Suggested Citation