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Splitting graphs when calculating Myerson value for pure overhead games

Author

Listed:
  • D. Gómez
  • E. González-Arangüena
  • C. Manuel
  • G. Owen
  • M. del Pozo
  • J. Tejada

Abstract

A communication situation consists of a coalitional game and a graph, the nodes of the graph corresponding to the players of the game. To calculate the Myerson value for such situations, we obtain results which extend those well known for trees and cycle-complete graphs. On the other hand, in order to reduce the associated calculus for communication situations with a pure overhead game, the possibility of splitting the graph in several subgraphs is analyzed. For each fixed decomposition of the graph, a subspace of games compatible with this decomposition is given. Copyright Springer-Verlag 2004

Suggested Citation

  • D. Gómez & E. González-Arangüena & C. Manuel & G. Owen & M. del Pozo & J. Tejada, 2004. "Splitting graphs when calculating Myerson value for pure overhead games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(3), pages 479-489, July.
    • Handle: RePEc:spr:mathme:v:59:y:2004:i:3:p:479-489
    DOI: 10.1007/s001860400346
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    Citations

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    Cited by:

    1. Enrique González-Arangüena & Conrado Manuel & Daniel Gomez & René van den Brink, 2008. "A Value for Directed Communication Situations," Tinbergen Institute Discussion Papers 08-006/1, Tinbergen Institute.
    2. Taiki Yamada, 2021. "New allocation rule of directed hypergraphs," Papers 2110.06506, arXiv.org, revised Feb 2023.
    3. Daniel Li Li & Erfang Shan, 2024. "A new value for communication situations," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 100(2), pages 535-551, October.

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