Summary: 5th International Symposium on Imprecise Probability: Theories and Applications, Prague, Czech Republic, 2007
Coherent Choice Functions under Uncertainty
Teddy Seidenfeld
Mark J. Schervish
Joseph B. Kadane
Carnegie Mellon University
teddy@stat.cmu.edu
mark@stat.cmu.edu
kadane@stat.cmu.edu
Abstract
We discuss several features of coherent choice functions
­ where the admissible options in a decision problem are
exactly those which maximize expected utility for some
probability/utility pair in fixed set S of probability/utility
pairs. In this paper we consider, primarily, normal form
decision problems under uncertainty ­ where only the
probability component of S is indeterminate. Coherent
choice distinguishes between each pair of sets of
probabilities. We axiomatize the theory of choice
functions and show these axioms are necessary for

Source: Andrews, Peter B. - Department of Mathematical Sciences, Carnegie Mellon University

Collections: Mathematics