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Dynamic stable set

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Author Info
Hannu Vartiainen () (Department of Economics, Turku School of Economics)

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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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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
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Handle: RePEc:tkk:dpaper:dp33

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Related research
Keywords: vNM stable set; dynamic; history;

Find related papers by 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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References listed on IDEAS
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  1. Schofield, Norman, 1983. "Generic Instability of Majority Rule," Review of Economic Studies, Blackwell Publishing, vol. 50(4), pages 695-705, October. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. Banks, Jeffrey S., 1984. "Sophisticated Voting Outcomes and Agenda Control," Working Papers 524, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  5. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February. [Downloadable!] (restricted)
  6. Barbera, Salvador & Gerber, Anke, 2007. "A note on the impossibility of a satisfactory concept of stability for coalition formation games," Economics Letters, Elsevier, vol. 95(1), pages 85-90, April. [Downloadable!] (restricted)
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