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On the Finiteness of Stable Sets

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Author Info

  • John Hillas

    (SUNY at Stony Brook)

  • Dries Vermeulen

    (University of Limburg)

  • Mathijs Jansen

    (University of Limburg)

Abstract

For two person games, stable sets in the sense of Kohlberg and Mertens and quasi-stable sets in the sense of Hillas are finite. In this paper we present an example to show that these sets are not necessarily finite in games with more than two players.

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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 9605003.

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Date of creation: 23 May 1996
Date of revision: 15 Jun 1996
Handle: RePEc:wpa:wuwpga:9605003

Note: Type of Document - AMS LaTeX; prepared on IBM PC ; to print on PostScript (or almost anything else if you can process the dvi file);
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Related research

Keywords: stable sets; Kohlberg and Mertens stability; quasi-stable sets;

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References

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  1. Jansen M. J. M. & Jurg A. P. & Borm P. E. M., 1994. "On Strictly Perfect Sets," Games and Economic Behavior, Elsevier, vol. 6(3), pages 400-415, May.
  2. Mertens, J.-F., 1988. "Stable equilibria - a reformulation," CORE Discussion Papers 1988038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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Citations

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Cited by:
  1. Vermeulen, Dries & Jansen, Mathijs, 2005. "On the computation of stable sets for bimatrix games," Journal of Mathematical Economics, Elsevier, vol. 41(6), pages 735-763, September.
  2. John Hillas & Elon Kohlberg, 1996. "Foundations of Strategic Equilibrium," Game Theory and Information 9606002, EconWPA, revised 18 Sep 1996.

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