Biprobabilistic values for bicooperative games

DOI10.1016/j.dam.2007.11.007zbMath1153.91320OpenAlexW1992989040MaRDI QIDQ948690

J. J. López, N. Jiménez, Julio R. Fernández, Jésus Mario Bilbao

Publication date: 17 October 2008

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2007.11.007

zbMATH Keywords

ternary voting gamesbicooperative gamesbiprobabilistic valuescompatible-order values

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items

\(k\)-additivity and \(\mathcal C\)-decomposability of bi-capacities and its integral, New axiomatizations of the Shapley interaction index for bi-capacities, Some properties for bisemivalues on bicooperative games, Generalized Choquet-like aggregation functions for handling bipolar scales, Bisemivalues for bicooperative games, The Banzhaf power index for ternary bicooperative games, The selectope for bicooperative games, Anonymous yes-no voting with abstention and multiple levels of approval, Signed ring families and signed posets, Weak null, necessary defender and necessary detractor players: characterizations of the Banzhaf and the Shapley bisemivalues

Cites Work

• Banzhaf measures for games with several levels of approval in the input and output
• A value for games with \(n\) players and \(r\) alternatives
• Ternary voting games
• A consistent value for games with \(n\) players and \(r\) alternatives.
• The Shapley-Shubik index, the donation paradox and ternary games
• Weighted voting, abstention, and multiple levels of approval
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