The logic behind desirable sets of things, and its filter representation
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Abstract (arXiv)
We identify the (filter representation of the) logic behind the recent theory of coherent sets of desirable (sets of) things, which generalise coherent sets of desirable (sets of) gambles as well as coherent choice functions, and show that this identification allows us to establish various representation results for such coherent models in terms of simpler ones.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 6 of its 33 references that are in the map. First posted on arXiv 16 Feb 2023.
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6 of 33 references.
References · 6
- 2020Archimedean Choice Functions: an Axiomatic Foundation for Imprecise Decision Makingcited by 6
- 2018A Desirability-Based Axiomatisation for Coherent Choice Functionscited by 5
- 2020Coherent and Archimedean choice in general Banach spacescited by 5
- 2023A theory of desirable thingscited by 5
- 2022Nonlinear desirability theorycited by 4
- 2021On a notion of independence proposed by Teddy Seidenfeldcited by 2
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