Some problems for convex Bayesians

Authors:
Henry E. Kyburg, Jr.;Michael Pittarelli
Affiliations:
Departments of Computer Science, University of Rochester, Rochester, NY;Computer Science Department, SUNY Institute of Technology, Utica, NY
Venue:
UAI'92 Proceedings of the Eighth international conference on Uncertainty in artificial intelligence
Year:
1992

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Abstract

We discuss problems for convex Bayesian decision making and uncertainty representation. These include the inability to accommodate various natural and useful constraints and the possibility of an analog of the classical Dutch Book being made against an agent behaving in accordance with convex Bayesian prescriptions. A more general set-based Bayesianism may be as tractable and would avoid the difficulties we raise.