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More Than Two Players

In: Scissors and Rock

Author

Listed:
  • Manfred J. Holler

    (University of Hamburg)

  • Barbara Klose-Ullmann

    (Center of Conflict Resolution)

Abstract

If there are more than two players in a game, then there is a potential for forming coalitions. The CoreCore is the most prominent solution concept in this case. It assigns payoff vectors to the players. However, the Core of an n-person game can be empty or contain an infinite number of possible outcome vectors. In this chapter, applying the CoreCore to a network gameNetwork games illustrates this problem. As a consequence, alternative solution concepts are briefly discussed: the Stable Set concept, proposed by von NeumannVon Neumann, Johnand Morgenstern,Morgenstern, Oskar as the Solution; Bargaining Sets that are based on objections and (successful) counterobjections; the Kernel and the Nucleolus. Results are confronted with the problem of competition and cooperationCooperation in the triad.

Suggested Citation

  • Manfred J. Holler & Barbara Klose-Ullmann, 2020. "More Than Two Players," Springer Books, in: Scissors and Rock, chapter 0, pages 195-211, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-44823-3_11
    DOI: 10.1007/978-3-030-44823-3_11
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