Coherent choice functions, desirability and indifference

Arthur Van Camp; Gert de Cooman; Enrique Miranda; Erik Quaeghebeur

doi:10.1016/j.fss.2017.05.019

Coherent choice functions, desirability and indifference

Arthur Van Camp, Gert de Cooman, Enrique Miranda, Erik Quaeghebeur

Research output: Contribution to journal › Article › Academic › peer-review

9 Citations (Scopus)

Abstract

We investigate how to model indifference with choice functions. We take the coherence axioms for choice functions proposed by Seidenfeld, Schervisch and Kadane as a source of inspiration, but modify them to strengthen the connection with desirability. We discuss the properties of choice functions that are coherent under our modified set of axioms and the connection with desirability. Once this is in place, we present an axiomatisation of indifference in terms of desirability. On this we build our definition of indifference in terms of choice functions, which we discuss in some detail.

Original language	English
Pages (from-to)	1-36
Number of pages	36
Journal	Fuzzy Sets and Systems
Volume	341
DOIs	https://doi.org/10.1016/j.fss.2017.05.019
Publication status	Published - 15 Jun 2018
Externally published	Yes

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10.1016/j.fss.2017.05.019

http://hdl.handle.net/1854/LU-8522988

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AB - We investigate how to model indifference with choice functions. We take the coherence axioms for choice functions proposed by Seidenfeld, Schervisch and Kadane as a source of inspiration, but modify them to strengthen the connection with desirability. We discuss the properties of choice functions that are coherent under our modified set of axioms and the connection with desirability. Once this is in place, we present an axiomatisation of indifference in terms of desirability. On this we build our definition of indifference in terms of choice functions, which we discuss in some detail.

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Coherent choice functions, desirability and indifference

Abstract

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