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International Journal of Game Theory

, Volume 1, Issue 1, pp 73–93 | Cite as

The kernel and bargaining set for convex games

  • M. Maschler
  • B. Peleg
  • L. S. Shapley
Papers

Abstract

It is shown that for convex games the bargaining set 1 (i) (for the grand coalition) coincides with the core. Moreover, it is proved that the kernel (for the grand coalition) of convex games consists of a unique point which coincides with the nucleolus of the game.

Keywords

Economic Theory Game Theory Unique Point Grand Coalition Convex Game 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Physica-Verlag 1971

Authors and Affiliations

  • M. Maschler
    • 1
  • B. Peleg
    • 1
  • L. S. Shapley
    • 2
  1. 1.Department of MathematicsThe Hebrew UniversityJerusalemIsrael
  2. 2.The Rand CorporationSanta Monica

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