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Dynamic stable set

Author

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  • Hannu Vartiainen

    (Department of Economics, Turku School of Economics)

Abstract

We study a dynamic vNM stable set in a compact metric space under the assumption of complete and continuous dominance relation. Internal and external stability are defined with respect to farsighted dominance. Stability of an outcome is conditioned on the history via which it is reached. A dynamic stable set always exists. Any covering set by Dutta (1988) coincides with the set of outcomes that are implementable via a dynamic stable set. The maximal implementable outcome set is a version of the ultimate uncovered set.

Suggested Citation

  • Hannu Vartiainen, 2008. "Dynamic stable set," Discussion Papers 33, Aboa Centre for Economics.
    • Handle: RePEc:tkk:dpaper:dp33
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    References listed on IDEAS

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    10. COUGHLAN, Peter J. & LE BRETON, Michel, 1999. "A social choice function implementable via backward induction with values in the ultimate uncovered set," LIDAM Reprints CORE 1406, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Anindya Bhattacharya & Victoria Brosi, 2011. "An existence result for farsighted stable sets of games in characteristic function form," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 393-401, May.

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    More about this item

    Keywords

    vNM stable set; dynamic; history;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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