Semivalues as power indices.

DOI10.1016/S0377-2217(02)00453-8zbMath1045.91003OpenAlexW1999332050MaRDI QIDQ1399609

Francesc Carreras, María Jesús de la Puente, Josep Freixas

Publication date: 30 July 2003

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-2217(02)00453-8

zbMATH Keywords

game theorypoewr indexregularity semivalue

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (17)

Semivalues: weighting coefficients and allocations on unanimity games ⋮ An Axiomatization for Two Power Indices for (3,2)-Simple Games ⋮ Decisiveness indices are semiindices ⋮ Decisiveness indices are semiindices: addendum ⋮ Circumstantial power: Optimal persuadable voters ⋮ On ordinal equivalence of power measures given by regular semivalues ⋮ Egalitarian property for power indices ⋮ Enumeration of weighted games with minimum and an analysis of voting power for bipartite complete games with minimum ⋮ Generating semivalues via unanimity games ⋮ Some properties for bisemivalues on bicooperative games ⋮ On ordinal equivalence of the Shapley and Banzhaf values for cooperative games ⋮ Power and potential maps induced by any semivalue: some algebraic properties and computation by multilinear extensions ⋮ Partnership formation and binomial semivalues ⋮ COMPARING POWER INDICES ⋮ SOME OPEN PROBLEMS IN SIMPLE GAMES ⋮ Weak null, necessary defender and necessary detractor players: characterizations of the Banzhaf and the Shapley bisemivalues ⋮ Power indices for networks, with applications to matching markets

Cites Work

• Common behaviour of power indices
• Monotonic solutions of cooperative games
• On weighted Shapley values
• An axiomatization of the Banzhaf value
• Restriction of simple games
• Cooperative games with coalition structures
• On the uniqueness of the Shapley value
• A new index of power for simple n-person games
• Potentials in cooperative TU-games
• New mathematical properties of the Banzhaf value
• Collusion properties of values
• The multilinear extension of the quotient game
• Semivalue versatility and applications
• Postulates and paradoxes of relative voting power -- A critical re-appraisal
• Games and cooperation indices
• Alternative axiomatic characterizations of the Shapley and Banzhaf values
• Shapley-Shubik and Banzhaf Indices Revisited
• Semivalues of Simple Games
• Value Theory Without Efficiency
• Multilinear extensions and the banzhaf value
• Graphs and Cooperation in Games
• Characterization of the Banzhaf–Coleman Index
• Mathematical Properties of the Banzhaf Power Index
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