Cominimum additive operators

DOI10.1016/j.jmateco.2006.07.007zbMath1192.91022OpenAlexW2129671800MaRDI QIDQ878007

Hiroyuki Kojima, Atsushi Kajii, Takashi Ui

Publication date: 4 May 2007

Published in: Journal of Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://ynu.repo.nii.ac.jp/?action=repository_uri&item_id=2027

zbMATH Keywords

cooperative gamesChoquet integralnon-additive probabilitiescomonotonicitycapacities

Mathematics Subject Classification ID

Decision theory (91B06) Cooperative games (91A12) Utility theory (91B16)

Related Items (6)

The Myerson value for complete coalition structures ⋮ Modularity and monotonicity of games ⋮ Choquet operators and belief functions ⋮ Marginal contributions and derivatives for set functions in cooperative games ⋮ Consequentialism and dynamic consistency in updating ambiguous beliefs ⋮ An axiomatization of Choquet expected utility with cominimum independence

Cites Work

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• Maxmin expected utility with non-unique prior
• Conference structures and fair allocation rules
• Allocation rules for hypergraph communication situations
• \(E\)-capacities and the Ellsberg paradox
• Additive representations of non-additive measures and the Choquet integral
• The position value for union stable systems
• Cores of cooperative games, superdifferentials of functions, and the Minkowski difference of sets
• An axiomatic approach to \(\varepsilon\)-contamination
• Subjective Probability and Expected Utility without Additivity
• Expectation and Variation in Multi-Period Decisions
• Integral Representation Without Additivity
• Robust Estimation of a Location Parameter

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