The position value and the structures of graphs

DOI10.1016/j.amc.2019.03.041zbMath1429.91027OpenAlexW2933958434MaRDI QIDQ2009536

Daniel Li Li, Erfang Shan

Publication date: 29 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.03.041

zbMATH Keywords

graphTU gamegraph structureposition valuelink game

Mathematics Subject Classification ID

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

Cites Work

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• Axiomatization of the Shapley value using the balanced cycle contributions property
• Difference between the position value and the myerson value is due to the existence of coalition structures
• Conference structures and fair allocation rules
• The position value for union stable systems
• An axiomatic characterization of the position value for network situations
• The position value is the Myerson value, in a sense
• A unified approach to the myerson value and the position value
• A strategic model of social and economic networks
• A characterization of the position value
• On the Position Value for Communication Situations
• Graphs and Cooperation in Games
• On the Position Value for Special Classes of Networks

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