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Lexicographic Probabilities and Choice Under Uncertainty

Lawrence E. Blume; Adam Brandenburger; Eddie Dekel

Econometrica 1991

Conventional Bayesian theory of choice under uncertainty, subjective expected utility theory, fails to satisfy the properties of admissibility and existence of well-defined conditional probabilities; weakly dominated acts may be chosen, and the usual definition of conditional probabilities applies only to nonnull events. This paper develops a non-Archimedean variant of subjective expected utility where decisionmakers have lexicographic beliefs. This generalization can be made to satisfy admissibility and yield well-defined conditional probabilities and at the same time allow for "null" events. Copyright 1991 by The Econometric Society.

DOI
10.2307/2938240
Volume
59 (1)
Pages
61
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