Results about sets of desirable gamble sets

Catrin Campbell-Moore

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arXiv · 2404.17924

Results about sets of desirable gamble sets

Catrin Campbell-Moore

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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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Catrin Campbell-Moore. 2024-04-27. Results about sets of desirable gamble sets. https://arxiv.org/abs/2404.17924

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