A Review of Some Recent Results on Power Indices

DOI10.1007/978-3-642-35929-3_12zbMath1419.91030OpenAlexW206063681MaRDI QIDQ4644760

María Gloria Fiestras-Janeiro, Balbina V. Casas Méndez, José M. Alonso-Meijide

Publication date: 8 January 2019

Published in: Power, Voting, and Voting Power: 30 Years After (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-35929-3_12

zbMATH Keywords

power indexmonotonicity propertysimple gamecoalition structurewinning coalition

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (2)

Tournament solutions based on cooperative game theory ⋮ Reflections on Power, Voting, and Voting Power

Cites Work

• Generating functions for coalitional power indices: an application to the IMF
• Characterizations of the Deegan-Packel and Johnston power indices
• Monotonicity of power in games with a priori unions
• Weighted multiple majority games with unions: generating functions and applications to the European Union
• Monotonic solutions of cooperative games
• On the uniqueness of the Shapley value
• A new index of power for simple n-person games
• Axiomatizations of public good indices with a priori unions
• Computing power indices: multilinear extensions and new characterizations
• Two new power indices based on winning coalitions
• FREEDOM OF CHOICE AND WEIGHTED MONOTONICITY OF POWER
• Multilinear extensions and the banzhaf value
• Mathematical Properties of the Banzhaf Power Index
• Multilinear Extensions of Games
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