Games with nested constraints given by a level structure

DOI10.3934/jdg.2018007zbMath1406.91016OpenAlexW2786494401MaRDI QIDQ1714476

Miguel Vargas-Valencia, Francisco Sanchez-Sanchez

Publication date: 1 February 2019

Published in: Journal of Dynamics and Games (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jdg.2018007

zbMATH Keywords

Shapley valuemultilinear extensionnested constraintslevel structureclass balanced contributions

Mathematics Subject Classification ID

Cooperative games (91A12) Games involving topology, set theory, or logic (91A44) Combinatorial games (91A46)

Related Items (1)

Values for level structures with polynomial-time algorithms, relevant coalition functions, and general considerations

Cites Work

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• The multilinear extension and the coalition structure value
• The Shapley value for cooperative games under precedence constraints
• Cooperative games with coalition structures
• The principle of balanced contributions and hierarchies of cooperation
• The Shapley value on convex geometries
• Solution concepts for games with general coalitional structure
• Values of Graph-Restricted Games
• Potential, Value, and Consistency
• Graphs and Cooperation in Games

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