The multilinear extension and the coalition structure value

DOI10.1016/0899-8256(92)90038-TzbMath0816.90142OpenAlexW1976859298MaRDI QIDQ1195594

Eyal Winter, Guillermo Owen

Publication date: 12 January 1993

Published in: Games and Economic Behavior (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0899-8256(92)90038-t

zbMATH Keywords

Shapley valuemodified value

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (13)

The multilinear extension and the modified Banzhaf-Coleman index ⋮ The multilinear extension of the quotient game ⋮ A method to calculate generalized mixed modified semivalues: application to the Catalan Parliament (legislature 2012--2016) ⋮ Two-step coalition values for multichoice games ⋮ Games with nested constraints given by a level structure ⋮ Axiomatic of the Shapley value of a game with a priori unions ⋮ Axiomatic characterizations of the symmetric coalitional binomial semivalues ⋮ Power and potential maps induced by any semivalue: some algebraic properties and computation by multilinear extensions ⋮ The multilinear extension and the symmetric coalition Banzhaf value ⋮ Multilinear extensions and values for multichoice games ⋮ Monotonicity of power in games with a priori unions ⋮ On two properties of the marginal contribution of individual decisional skills ⋮ On the convenience to form coalitions or partnerships in simple games

Cites Work

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• On weighted Shapley values
• A value for cooperative games with levels structure of cooperation
• Endogenous Formation of Coalitions
• Multilinear Extensions of Games

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