Modeling values for TU-games using generalized versions of consistency, standardness and the null player property

DOI10.1007/s00186-015-0525-xzbMath1414.91032OpenAlexW2281133331WikidataQ59472735 ScholiaQ59472735MaRDI QIDQ283990

Tadeusz Radzik, Theo S. H. Driessen

Publication date: 17 May 2016

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-015-0525-x

zbMATH Keywords

consistencyShapley value\(\lambda\)-standardnessequal split valuenull player axiomper-capita valueprobabilistic consistencysolidarity valueTU-game

Mathematics Subject Classification ID

Cooperative games (91A12) (n)-person games, (n>2) (91A06)

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The equal collective gains value in cooperative games ⋮ Coalitional desirability and the equal division value ⋮ A dynamic transfer scheme deriving from the dual similar associated game ⋮ Random reduction consistency of the Weber set, the core and the anti-core ⋮ A note on sign symmetry for a subclass of efficient, symmetric, and linear values ⋮ Group contributions in TU-games: a class of \(k\)-lateral Shapley values ⋮ A new axiomatization of the Shapley-solidarity value for games with a coalition structure ⋮ A union self-evaluation approach to associated consistency for cooperative games ⋮ A new value for cooperative games based on coalition size ⋮ Axiomatization and implementation of a class of solidarity values for TU-games ⋮ Nullified equal loss property and equal division values ⋮ The Egalitarian Shapley value: a generalization based on coalition sizes ⋮ Recursive and bargaining values ⋮ The Efficient, Symmetric and Linear Values for Cooperative Games and Their Characterizations ⋮ On a new method of analyzing properties of efficient, symmetric and linear values of TU-games

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