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On the Locus of the Nucleolus

In: Essays in Game Theory

Author

Listed:
  • Jos Potters

    (University of Nijmegen, KUN Department of Mathematics)

  • Stef Tijs

    (University of Tilburg, KUB Faculty of Economics)

Abstract

In this paper we prove some properties of the locus of the nucleolus of a set C that can be the core of a cooperative game. We show that there are two subsets of C, the kernel and the least core, only dependent on the set C that contain this locus. From this fact we derive that for a set C which is the core of convex game the locus consists of one point. We also give a necessary and sufficient condition that the locus consists of one point.

Suggested Citation

  • Jos Potters & Stef Tijs, 1994. "On the Locus of the Nucleolus," Springer Books, in: Nimrod Megiddo (ed.), Essays in Game Theory, chapter 0, pages 193-203, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2648-2_14
    DOI: 10.1007/978-1-4612-2648-2_14
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