Related papers: On a notion of independence proposed by Teddy Seidenfeld

On a notion of independence proposed by Teddy Seidenfeld

URL: http://arxiv.org/abs/2102.10342v1
Date: Sat, 20 Feb 2021 13:15:28 GMT
Title: On a notion of independence proposed by Teddy Seidenfeld
Authors: Jasper De Bock and Gert de Cooman
Abstract summary: Teddy Seidenfeld has been arguing for quite a long time that binary models are not powerful enough to deal with crucial aspects of imprecision and indeterminacy. We use this approach here to explore an interesting notion of irrelevance (and independence) We show that the consequences of making such an irrelevance or independence assessment are very strong.
Score: 2.5585152083052574
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Teddy Seidenfeld has been arguing for quite a long time that binary preference models are not powerful enough to deal with a number of crucial aspects of imprecision and indeterminacy in uncertain inference and decision making. It is at his insistence that we initiated our study of so-called sets of desirable option sets, which we have argued elsewhere provides an elegant and powerful approach to dealing with general, binary as well as non-binary, decision-making under uncertainty. We use this approach here to explore an interesting notion of irrelevance (and independence), first suggested by Seidenfeld in an example intended as a criticism of a number of specific decision methodologies based on (convex) binary preferences. We show that the consequences of making such an irrelevance or independence assessment are very strong, and might be used to argue for the use of so-called mixing choice functions, and E-admissibility as the resulting decision scheme.

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