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Maximal stable sets of two-player games

Author

Listed:
  • Srihari Govindan

    (Dept. of Economics, University of Western Ontario, London, Canada N6A 5C2)

  • Robert Wilson

    (Stanford Business School, Stanford CA 94305-5015, USA)

Abstract

If a connected component of perfect equilibria of a two-player game contains a stable set as defined by Mertens, then the component is itself stable. Thus the stable sets maximal under inclusion are connected components of perfect equilibria.

Suggested Citation

  • Srihari Govindan & Robert Wilson, 2002. "Maximal stable sets of two-player games," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(4), pages 557-566.
  • Handle: RePEc:spr:jogath:v:30:y:2002:i:4:p:557-566
    Note: Received: October 1999/Revised: February 2001
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    Citations

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    Cited by:

    1. Srihari Govindan & Robert Wilson, 2012. "Axiomatic Equilibrium Selection for Generic Two‐Player Games," Econometrica, Econometric Society, vol. 80(4), pages 1639-1699, July.
    2. 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.
    3. Belderbos, Rene & Carree, Martin & Lokshin, Boris, 2004. "Cooperative R&D and firm performance," Research Policy, Elsevier, vol. 33(10), pages 1477-1492, December.

    More about this item

    Keywords

    Perfect equilibria; stable sets.;

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