Average tree solutions and the distribution of Harsanyi dividends

DOI10.1007/s00182-010-0245-7zbMath1220.91010OpenAlexW2026170750MaRDI QIDQ548073

Richard Baron, Sylvain Béal, Eric Rémila, Philippe Solal

Publication date: 28 June 2011

Published in: International Journal of Game Theory (Search for Journal in Brave)

Full work available at URL: https://mpra.ub.uni-muenchen.de/17909/1/MPRA_paper_17909.pdf

zbMATH Keywords

BFSShapley valueDFSaverage tree solutionscommunication situationsequal surplus divisionHarsanyi solutions

Mathematics Subject Classification ID

Cooperative games (91A12) Games involving graphs (91A43)

Related Items (9)

Allocation rules for cooperative games with restricted communication and a priori unions based on the Myerson value and the average tree solution ⋮ Compensations in the Shapley value and the compensation solutions for graph games ⋮ A simple family of solutions for forest games ⋮ The core of games on ordered structures and graphs ⋮ Monotonicity of power in weighted voting games with restricted communication ⋮ Weighted component fairness for forest games ⋮ On the Position Value for Special Classes of Networks ⋮ Characterization of the average tree solution and its kernel ⋮ Fuzzy Average Tree Solution for Graph Games with Fuzzy Coalitions

Cites Work

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• Component efficient solutions in line-graph games with applications
• Null or nullifying players: the difference between the Shapley value and equal division solutions
• The average tree solution for cycle-free graph games
• On the Position Value for Communication Situations
• Graphs and Cooperation in Games
• Centralization and Decentralization in Economic Organizations

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