A new value for communication situations

DOI10.1007/S00186-024-00873-0MaRDI QIDQ6629535

Erfang Shan, Daniel Li Li

Publication date: 30 October 2024

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

zbMATH Keywords

cooperative gameMyerson valueposition valuebipartite value

Mathematics Subject Classification ID

Hypergraphs (05C65) Games involving graphs (91A43) Games on graphs (graph-theoretic aspects) (05C57)

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
• Splitting graphs when calculating Myerson value for pure overhead games.
• Conference structures and fair allocation rules
• The position value for union stable systems
• An axiomatic characterization of the position value for network situations
• Cooperative games with partial information
• The average tree value for hypergraph games
• The position value is the Myerson value, in a sense
• A unified approach to the myerson value and the position value
• A characterization of the position value
• Values of Graph-Restricted Games
• On the Position Value for Communication Situations
• Graphs and Cooperation in Games
• A Simplified Bargaining Model for the n-Person Cooperative Game

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