Marginality, differential marginality, and the Banzhaf value

DOI10.1007/s11238-010-9224-5zbMath1232.91172OpenAlexW2013594049MaRDI QIDQ638624

André Casajus

Publication date: 13 September 2011

Published in: Theory and Decision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11238-010-9224-5

zbMATH Keywords

additivityBanzhaf valuedifferential marginalitymarginality

Mathematics Subject Classification ID

Voting theory (91B12)

Related Items (8)

The axiom of equivalence to individual power and the Banzhaf index ⋮ Marginality and the position value ⋮ Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value ⋮ Notes on a comment on 2-efficiency and the Banzhaf value ⋮ Amalgamating players, symmetry, and the Banzhaf value ⋮ The Banzhaf value for generalized probabilistic communication situations ⋮ Collusion, quarrel, and the Banzhaf value ⋮ Properties based on relative contributions for cooperative games with transferable utilities

Cites Work

• Differential marginality, van den Brink fairness, and the Shapley value
• Monotonic solutions of cooperative games
• An axiomatization of the Banzhaf value
• Collusion properties of values
• On an axiomatization of the Banzhaf value without the additivity axiom
• An axiomatization of the Shapley value using a fairness property
• Alternative axiomatic characterizations of the Shapley and Banzhaf values
• Multilinear extensions and the banzhaf value
• NULL PLAYERS OUT? LINEAR VALUES FOR GAMES WITH VARIABLE SUPPORTS

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