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Graphs and Cooperation in Games


  • Roger B. Myerson

    (Graduate School of Management, Nathaniel Leverone Hall, Northwestern University, Evanston, Illinois 60201)


Graph-theoretic ideas are used to analyze cooperation structures in games. Allocation rules, selecting a payoff for every possible cooperation structure, are studied for games in characteristic function form. Fair allocation rules are defined, and these are proven to be unique, closely related to the Shapley value, and stable for a wide class of games.

Suggested Citation

  • Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
  • Handle: RePEc:inm:ormoor:v:2:y:1977:i:3:p:225-229
    DOI: 10.1287/moor.2.3.225

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