Modelling indifference with choice functions
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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 characterisation of indifference in terms of choice functions
Description:
ISIPTA'2015: 9th International Conference on Imprecise Probability: Theories and Applications, July 2015, Pescara, Italy
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Gert de Cooman’s research was partly funded through project number 3G012512 of the Research Foundation Flanders (FWO). Erik Quaeghebeur’s contribution is part of the Safe Statistics project financed by the Netherlands Organisation for Scientific Research (NWO). Enrique Miranda acknowledges financial support by project TIN2014-59543-P
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