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Results about sets of desirable gamble sets
Published 27 Apr 2024 in cs.AI and cs.GT | (2404.17924v2)
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.
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