The Shapley value for directed graph games

DOI10.1016/j.orl.2015.12.009zbMath1408.91013OpenAlexW2127683950MaRDI QIDQ1785488

Özer Selçuk, Anna B. Khmelnitskaya, Adolphus J. J. Talman

Publication date: 28 September 2018

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://researchportal.port.ac.uk/portal/en/publications/the-shapley-value-for-directed-graph-games(8245e75c-2a16-438a-9adc-e9fcfa40f03f).html

zbMATH Keywords

convexityShapley valuecoredirected graphTU gamedominance structure

Mathematics Subject Classification ID

Cooperative games (91A12) Games involving graphs (91A43) Games on graphs (graph-theoretic aspects) (05C57)

Related Items (9)

On the Shapley value of liability games ⋮ Directed communication in games with directed graphs ⋮ Hodge decomposition and the Shapley value of a cooperative game ⋮ The Myerson value for directed graph games ⋮ A value for communication situations with players having different bargaining abilities ⋮ Cooperative games with restricted formation of coalitions ⋮ The average covering tree value for directed graph games ⋮ The Myerson value on local structures of coalitions ⋮ Measuring power in coalitional games with friends, enemies and allies

Cites Work

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• Monotonic solutions of cooperative games
• Games with permission structures: The conjunctive approach
• The Shapley value for cooperative games under precedence constraints
• Cooperative games with coalition structures
• Mathematical economics and game theory. Essays in honor of Oskar Morgenstern
• Graphs and Cooperation in Games

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