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
Reference16 articles.
1. Battigalli, P., & Siniscalchi, M. (2002). Strong belief and forward induction reasoning. Journal of Economic Theory, 106(2), 356–391.
2. Blume, L., Brandenburger, A., & Dekel, E. (1991). Lexicographic probabilities and choice under uncertainty. Econometrica, 59(1), 61–79.
3. Brandenburger, A. (2007). The power of paradox: Some recent developments in interactive epistemology. International Journal of Game Theory, 35(4), 465–492.
4. Brandenburger, A., Friedenberg, A., & Keisler, H. J. (2008). Admissibility in games. Econometrica, 76(2), 307.
5. Catonini, E., & De Vito, N. (2014). Common assumption of cautious rationality and iterated admissibility.
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1. Cautious belief and iterated admissibility;Journal of Mathematical Economics;2024-02