The relationship between strong belief and assumption

Author:

Brandenburger AdamORCID,Friedenberg Amanda,Keisler H. Jerome

Abstract

AbstractWe 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.

Funder

Leonard N. Stern School of Business, New York University

New York University Shanghai

Olin School of Business

Publisher

Springer Science and Business Media LLC

Subject

General Social Sciences,Philosophy

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Cautious belief and iterated admissibility;Journal of Mathematical Economics;2024-02

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