Results about sets of desirable gamble sets

2024/04/27 by Catrin Campbell-Moore, Campbell-Moore, Catrin
Economics, Econometrics and Finance · Environmental Science · Social Sciences · #Artificial Intelligence (cs.AI) #Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences #Historical Geography and Cartography #Insurance and Financial Risk Management #Research studies in Vietnam

paper · pdf · doi:10.48550/arxiv.2404.17924

openalex publication_date 2024/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Coherent sets of desirable gamble sets is used as a model for representing an agents opinions and choice preferences under uncertainty. In this paper we provide some results about the axioms required for coherence and the natural extension of a given set of desirable gamble sets. We also show that coherent sets of desirable gamble sets can be represented by a proper filter of coherent sets of desirable gambles.

Related

• The logic behind desirable sets of things, and its filter representation
• A Desirability-Based Axiomatisation for Coherent Choice Functions
• Interpreting, axiomatising and representing coherent choice functions in terms of desirability
• A theory of desirable things
• Algebras of Sets and Coherent Sets of Gambles