A new basis and the Shapley value

DOI10.1016/J.MATHSOCSCI.2015.12.003zbMath1347.91042OpenAlexW2161606183MaRDI QIDQ274045

Yoshio Kamijo, Yukihiko Funaki, Koji Yokote

Publication date: 22 April 2016

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: http://www.waseda.jp/fpse/winpec/assets/uploads/2015/06/No.E1418Yokote_Funaki_Kamijo.pdf

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (7)

Coincidence of the Shapley value with other solutions satisfying covariance ⋮ Core stability of the Shapley value for cooperative games ⋮ A new axiomatization of a class of equal surplus division values for TU games ⋮ Bases and linear transforms of TU-games and cooperation systems ⋮ On the inverse problem for a subclass of linear, symmetric and efficient values of cooperative TU games ⋮ Associated games to optimize the core of a transferable utility game ⋮ New Characterizations of the Discounted Shapley Values

Cites Work

• Implementation and axiomatization of discounted Shapley values
• Monotonic solutions of cooperative games
• On weighted Shapley values
• A new axiomatization of the Shapley value
• An axiomatization of the Shapley value using a fairness property
• Weak addition invariance and axiomatization of the weighted Shapley value
• Lexicographic composition of simple games
• Constrained core solutions for totally positive games with ordered players
• The vector lattice structure of the \(n\)-person TU games
• Equivalent N-Person Games and the Null Space of the Shapley Value
• Potential, Value, and Consistency
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