FIRST INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITIES AND THEIR APPLICATIONS

Ghent, Belgium
30 June - 2 July 1999

ELECTRONIC PROCEEDINGS

Isaac Levi

Imprecise and Indeterminate Probabilities

Abstract

Bayesian advocates of expected utility maximization use sets of probability distributions to represent very different ideas. Strict Bayesians insist that probability judgment is numerically determinate even though the agent can represent such judgments only in imprecise terms. According to Quasi Bayesians rational agents may make indeterminate subjective probability judgments. Both kinds of Bayesians require that admissible options maximize expected utility according to some probability distribution. Quasi Bayesians permit the distribution to vary with the context of choice. Maximalists allow for choices that do not maximize expected utility against any distribution. Maximiners mandate what maximalists allow. This paper defends the quasi Bayesian view against strict Bayesians on the one hand and maximalists and maximiners on the other.

Keywords. Keywords. Strict Bayesian, Quasi Bayesian, E-admissibility, E-maximality, Maximizing lower expectation.

The paper is available in the following formats and sites:

Authors addresses:

718 Philosophy Hall
Columbia University
New York, NY 10027
USA

E-mail addresses:

Isaac Levi levi@columbia.edu


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