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note: On the Finiteness of Stable Sets

Author

Listed:
  • Dries Vermeulen

    (Department of Quantitative Economics, University of Limburg, P.O. Box 616, 6200 MD Maastricht, The Netherlands email: A.Vermeulen@ke.unimaas.nl)

  • Mathijs Jansen

    (Department of Quantitative Economics, University of Limburg, P.O. Box 616, 6200 MD Maastricht, The Netherlands email: m.jansen@ke.unimaas.nl)

  • John Hillas

    (Institute for Decision Sciences and Department of Economics, SUNY at Stony Brook, Stony Brook, NY 11794-4384 USA email: jhillas@datalab2.sbs.sunysb.edu)

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.

Suggested Citation

  • Dries Vermeulen & Mathijs Jansen & John Hillas, 1997. "note: On the Finiteness of Stable Sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(2), pages 275-278.
    • Handle: RePEc:spr:jogath:v:26:y:1997:i:2:p:275-278
    Note: Received May 1996 Final version November 1996
    as

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