Decision Making under Uncertainty: A Game of Two Selves

2020/12/14 by Jianming Xia, Xia, Jianming · 4 citations
Computer Science · Decision Sciences · Economics, Econometrics and Finance · Mathematics · #91B06 #Ambiguity #Ambiguity aversion #Axiom #Axiom independence #Bayesian Modeling and Causal Inference #Computer science #Decision-Making and Behavioral Economics #Economics #FOS: Economics and business #Independence (probability theory) #Independence of irrelevant alternatives #Index (typography) #Mathematical Finance (q-fin.MF) #Mathematical analysis #Mathematical economics #Mathematics #Microeconomics #Monotonic function #Order (exchange) #Point (geometry) #Risk and Portfolio Optimization #Social choice theory #Space (punctuation) #Statistics #Theoretical Economics (econ.TH) #econ.TH #msc:91B06 #q-fin.MF

paper · pdf · doi:10.48550/arxiv.2012.07509

published in arXiv (Cornell University) (Cornell University) · 28 pages

arxiv created 2020/12/14 · openalex publication_date 2020/12/14 · arxiv updated 2020/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we characterize the niveloidal preferences that satisfy the Weak Order, Monotonicity, Archimedean, and Weak C-Independence Axioms from the point of view of an intra-personal, leader-follower game. We also show that the leader's strategy space can serve as an ambiguity aversion index.

Citations

• Preference and belief: Ambiguity and competence in choice under uncertainty
• Risk, Ambiguity, and the Savage Axioms

Cited by

• Preferences with Multiple Forecasts

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