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• W3005566642 abstract "I introduce and study a new notion of Archimedeanity for binary and non-binary choice between options that live in an abstract Banach space, through a very general class of choice models, called sets of desirable option sets. In order to also be able to bring horse lottery options into the fold, I pay special attention to the case where these linear spaces do not include all `constant' options. I consider the frameworks of conservative inference associated with Archimedean (and coherent) choice models, and also pay quite a lot of attention to representation of general (non-binary) choice models in terms of the simpler, binary ones. The representation theorems proved here provide an axiomatic characterisation for, amongst many other choice methods, Levi's E-admissibility and Walley--Sen maximality." @default.
• W3005566642 created "2020-02-24" @default.
• W3005566642 creator A5007090019 @default.
• W3005566642 date "2020-02-13" @default.
• W3005566642 modified "2023-09-27" @default.
• W3005566642 title "Coherent and Archimedean choice in general Banach spaces" @default.
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