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# Evenly Convex Credal Sets

*Proceedings of the Tenth International Symposium on Imprecise Probability: Theories and Applications*, PMLR 62:109-120, 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 non-strict 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.