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• W2157595414 abstract "In this paper we deal with the problem of axiomatizing the preference relations modeled through Choquet integral with respect to a k-additive capacity, i.e. whose Möbius transform vanishes for subsets of more than k elements. Thus, k-additive capacities range from probability measures (k=1) to general capacities (k=n). The axiomatization is done in several steps, starting from symmetric 2-additive capacities, a case related to the Gini index, and finishing with general k-additive capacities. We put an emphasis on 2-additive capacities. Our axiomatization is done in the framework of social welfare, and complete previous results of Weymark, Gilboa and Ben Porath, and Gajdos." @default.
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• W2157595414 date "2005-03-01" @default.
• W2157595414 modified "2023-10-09" @default.
• W2157595414 title "Axiomatic structure of k-additive capacities" @default.
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• W2157595414 doi "https://doi.org/10.1016/j.mathsocsci.2004.06.001" @default.
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