Axiomatic structure of \(k\)-additive capacities

DOI10.1016/j.mathsocsci.2004.06.001zbMath1070.28009OpenAlexW2157595414MaRDI QIDQ557954

Jianyong Qiao, Sumit K. Garg

Publication date: 30 June 2005

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mathsocsci.2004.06.001

zbMATH Keywords

Choquet integralGini indexsocial welfarecapacitiesaxiomatics\(k\)-additivity

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Models of societies, social and urban evolution (91D10) Fuzzy measure theory (28E10)

Related Items

The binomial Gini inequality indices and the binomial decomposition of welfare functions, Consensus dynamics, network interaction, and Shapley indices in the Choquet framework, Constructive set function and extraction of a \(k\)-dimensional element, Modularity and monotonicity of games, Finding the Set of k-additive Dominating Measures Viewed as a Flow Problem, A characterization of the 2-additive Choquet integral through cardinal information, Dominance of capacities by \(k\)-additive belief functions, A representation of preferences by the Choquet integral with respect to a 2-additive capacity, Shapley and superShapley aggregation emerging from consensus dynamics in the multicriteria Choquet framework

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