Weighted Utility and Optimism/Pessimism: A Decision-Theoretic Foundation of Various Stochastic Dominance Orders

Tao Wang, Ehud Lehrer

Research output: Contribution to journalArticlepeer-review

Abstract

We show that a probability distribution likelihood ratio dominates another distribution if and only if, for every weighted utility function, the former is preferred over the latter. Likewise, a probability distribution hazard rate (or reverse hazard rate) dominates another distribution if and only if, the former is preferred by every optimistic (or pessimistic) decision maker.

Original languageEnglish
Pages (from-to)210-223
Number of pages14
JournalAmerican Economic Journal: Microeconomics
Volume16
Issue number1
DOIs
StatePublished - 2024
Externally publishedYes

Funding

FundersFunder number
Deutsche ForschungsgemeinschaftKA 5609/1-1
National Natural Science Foundation of China11761141007, 72303161
Capital University of Economics and BusinessXRZ2023034

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