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Dynamic stable set

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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.

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Bibliographic Info

Paper provided by Aboa Centre for Economics in its series Discussion Papers with number 33.

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Length: 20
Date of creation: Jun 2008
Date of revision:
Handle: RePEc:tkk:dpaper:dp33

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Keywords: vNM stable set; dynamic; history;

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  1. Salvador Barberà & Anke Gerber, 2005. "A Note on the Impossibility of a Satisfactory Concept of Stability for Coalition Formation Games," Working Papers 248, Barcelona Graduate School of Economics.
  2. Schofield, Norman, 1983. "Generic Instability of Majority Rule," Review of Economic Studies, Wiley Blackwell, vol. 50(4), pages 695-705, October.
  3. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
  4. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125 Elsevier.
  5. Dutta, Bhaskar & Jackson, Matthew O. & Le Breton, Michel, 2002. "Voting by Successive Elimination and Strategic Candidacy," Journal of Economic Theory, Elsevier, vol. 103(1), pages 190-218, March.
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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, vol. 40(2), pages 393-401, May.

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