International Journal of Game Theory

, Volume 9, Issue 1, pp 1–12 | Cite as

Strong perfect equilibrium in supergames

  • A. Rubinstein
Papers

Abstract

The set of payoffs for the strong equilibria is characterized for supergames when the evaluation relations are according to the limit of the means and where no coalition can correlate its strategies in a randomized way.

It is proven that this set is identical to the set of payoffs of the strong perfect equilibria. On the other hand an example is given to demonstrate that perfection is a significant notion in supergames where the evaluation relations are according to the overtaking criterion.

Keywords

Economic Theory Game Theory Evaluation Relation Strong Equilibrium Significant Notion 

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References

  1. Aumann, R.J.: Acceptable Points in General Cooperativen-person Game. Contributions to the Theory of Games, IV. Ed. by A.W. Tucker and R.C. Luce. Annals of Math. Studies, No. 40. Princeton, N.J., 1959, 287–324.Google Scholar
  2. —: Acceptable Points in Games of Perfect Information. Pac. J. Math.10, 1960, 381–417.Google Scholar
  3. -: Lectures On Game Theory. Stanford University, 1976, unpublished manuscript.Google Scholar
  4. Aumann, R.J., andL. Shapley: Long Term Competition — A Game Theoretic Analysis, 1976, unpublished manuscript.Google Scholar
  5. Brock, W.A.: An Axiomatic Basis for the Ramsey Weizsacker Overtaking Criterion. Econometrica38, 1970, 927–929.Google Scholar
  6. Roth, A.E.: Self Supporting Equilibrium in the Supergame, 1975, unpublished manuscript.Google Scholar
  7. Rubinstein, A.: Equilibrium in Supergames. Center for Research in Math. Economics and Game Theory, The Hebrew University, Jerusalem, R.M. No. 25, May 1977.Google Scholar
  8. —: Equilibrium in Supergames with the Overtaking Criterium. Journal of Economic Theory21, 1979, 1–9.Google Scholar

Copyright information

© Physica-Verlag 1980

Authors and Affiliations

  • A. Rubinstein
    • 1
  1. 1.Department of EconomicsThe Hebrew UniversityJerusalemIsrael

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