Miranda Menéndez, PedroGrabisch, MichelGil Álvarez, Pedro2023-06-202023-06-202005-03Miranda Menéndez, P., Grabisch, M. & Gil Álvarez, P. et al. «Axiomatic Structure of K-Additive Capacities». Mathematical Social Sciences, vol. 49, n.o 2, marzo de 2005, pp. 153-78. DOI.org (Crossref), https://doi.org/10.1016/j.mathsocsci.2004.06.001.0165-489610.1016/j.mathsocsci.2004.06.001https://hdl.handle.net/20.500.14352/50190In 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 Mobius 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.engjournal articlehttps//doi.org/10.1016/j.mathsocsci.2004.06.001http://www.sciencedirect.com/science/article/pii/S0165489604000575restricted access517.987.1AxiomaticCapacitiesk-AdditivityAnálisis funcional y teoría de operadores