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Adam Brandenburger, Amanda Friedenberg, and H. Jerome Keisler's "The Relationship Between Strong Belief and Assumption," published in Synthese

July 31, 2023

We define two maps, one map from the set of conditional probability systems (CPS's) onto the set of lexicographic probability systems (LPS’s), and another map from the set of LPS's with full support onto the set of CPS's. We use these maps to establish a relationship between strong belief (defined on CPS's) and assumption (defined on LPS's). This establishes a relationship at the abstract level between these two widely used notions of belief in an extended probability-theoretic setting.

Adam Brandenburger is the J.P. Valles Professor of Business Economics and Strategy.
Read the full paper here.