A generalized Deegan-Packel value for multi-alternative games in case of nonhomogeneous players

DOI10.1080/02522667.2009.10699904zbMath1206.91013OpenAlexW2104010966MaRDI QIDQ3077386

Satoshi Masuya, Teruhisa Nakai

Publication date: 22 February 2011

Published in: Journal of Information and Optimization Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02522667.2009.10699904

zbMATH Keywords

cooperative gamevaluesDeegan-Packel indexmulti-alternative gamenonhomogeneous players

Mathematics Subject Classification ID

Cooperative games (91A12) Other game-theoretic models (91A40)

Cites Work

• An axiomatization of the Banzhaf value
• The Banzhaf power index for political games
• A new index of power for simple n-person games
• Extension of values to games with multiple alternatives
• A value for games with \(n\) players and \(r\) alternatives
• A consistent value for games with \(n\) players and \(r\) alternatives.
• Multilinear extensions and the banzhaf value
• The banzhaf – coleman index for games withralternatives
• A generalized Deegan-Packel index for multialternative voting games in case of nonhomogeneous voters

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