Evenly Convex Credal Sets
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Proceedings of the Tenth International Symposium on Imprecise Probability: Theories and Applications, PMLR 62:109120, 2017.
Abstract
An evenly convex credal set is a set of probability measures that is evenly convex that is, a set that is an intersection of open halfspaces. An evenly convex credal set can for instance encode preference judgments through strict and nonstrict inequalities such as $P(A) > 1/2$ and $P(A) ≤2/3$. This paper presents an axiomatization of evenly convex sets from preferences, where we introduce a new (and very weak) Archimedean condition.
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