Decomposition of the space of TU-games, strong transfer invariance and the Banzhaf value

DOI10.1016/j.orl.2014.12.011zbMath1408.91010OpenAlexW3124605040MaRDI QIDQ1785623

Philippe Solal, Sylvain Béal, Eric Rémila

Publication date: 1 October 2018

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://crese.univ-fcomte.fr/uploads/wp/WP-2014-05.pdf

zbMATH Keywords

direct-sum decompositionBanzhaf valuedummy player axiomstrong transfer invariance

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (4)

Axioms of invariance for TU-games ⋮ Unnamed Item ⋮ On the inverse problem for a subclass of linear, symmetric and efficient values of cooperative TU games ⋮ Characterization of the average tree solution and its kernel

Cites Work

• Unnamed Item
• Amalgamating players, symmetry, and the Banzhaf value
• An axiomatization of the Banzhaf value
• The Banzhaf power index on convex geometries
• Collusion properties of values
• Equal treatment, symmetry and Banzhaf value axiomatizations
• An axiomatization of the Banzhaf value for cooperative games on antimatroids
• Collusion, quarrel, and the Banzhaf value
• Coalition configurations and the Banzhaf index
• Multilinear extensions and the banzhaf value
• Mathematical Properties of the Banzhaf Power Index

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