Cooperative Games

Cooperative Games

  • Gwenael Piaser added an answer:
    Is it necessary to form a coalition in a cooperative game?

    for a cooperative game, forming a coalition is necessary, or supposing a group is adequate?

    Gwenael Piaser · IPAG Business School

    It depends on what you mean by "group". Roughly speaking cooperative game theory is a theory of coalitions, hence I do not see how one can get rid of them.

    In games with two players only, like bargaining games, of course there is no coalition.

  • Roger A. Mccain added an answer:
    What is the difference between Nash Equilibrium and Nash Bargaining Solution?
    I'm considering a cooperative game where players want to share resources in a fair manner.
    Roger A. Mccain · Drexel University

    For a "fair" allocation, probably neither is applicable. Certainly Nash equilibrium, a noncooperative concept, is not. But for Nash bargaining theory, the outcome depends on threats or outside options in ways that would be difficult to characterize as fair. Herve Moulin's extensive work may be useful to you. He regards the Shapley Value as having fairness properties. I do not, and would suggest that you investigate cake-cutting or non-envious allocations, but Moulin's book may be helpful on those as well. See Fair Division and Collective Welfare by Hervé Moulin

  • Surajit Borkotokey asked a question:
    How about Interval Cooperative Game?
    People here in China under Prof. Zhang have done many good works...My students ...Check their works...
  • Nurmala Sari asked a question:
    Can anyone help with time token method by Arends?
    Time token method is a cooperative learning method.
  • Closed account added an answer:
    Why is the game of football an 11 man game?
    The game of football is comprised of 22 players? 11 on offense versus 11 on defense?
    No. There are two teams with 11 players in the field. The configuration of the players is varied depending on the tactics of the team. There is 1 goalkeeper, 4 defenders, 4 in the midfield and 2 forwards. This is called 4-4-2. Other possible tactics are 4-5-1 (only 1 forward) or the more offensive 3-4-3
  • Surajit Borkotokey asked a question:
    Is anyone working on Network under Bi-cooperative framework?
    Bi-cooperative games are generalizations of voting games with abstention...Mathematically one can talk about Bi-cooperative networks however one needs a concrete example. I am trying to get one. If anybody is interested please share your experience.
  • Issofa Moyouwou added an answer:
    Equivalence relation in TU games
    How do you define an equivalence relation over the set of imputations in a TU game?
    Issofa Moyouwou · University of Yaounde I
    Dear Momo, let me know what is the goal of such a partition. What is the main problem? is there any link to players? to a social planner? ...

About Cooperative Games

In game theory, a cooperative game is a game where groups of players ("coalitions") may enforce cooperative behaviour, hence the game is a competition between coalitions of players, rather than between individual players. An example is a coordination game, when players choose the strategies by a consensus decision-making process.

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