International Journal of Game Theory

, Volume 19, Issue 2, pp 191–217 | Cite as

Nash equilibria of n-player repeated games with semi-standard information

  • E. Lehrer


The folk theorem is extended here to the case where after each stage of the repeated game each player is informed only about the equivalence classes of the pure actions which were used by the other players. The sets of upper equilibrium payoffs and of lower equilibrium payoffs are characterized here, and they are found to be different.


Nash Equilibrium Equivalence Class Economic Theory Game Theory Repeated Game 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [APS]
    Abreu D, Pearce D, and Stachetti E (1986) Optimal Cartel Equilibria with Imperfect Monitoring, Journal of Economic Theory (forthcoming)Google Scholar
  2. [A1]
    Aumann RJ (1964) Mixed and Behavior Strategies in Infinite Extensive Games, in Advances in Game Theory, Ann. Math. Studies, 52, Dresher M et al. (eds.). Princeton, N.J.: Princeton University Press, 627–650Google Scholar
  3. [A2]
    Aumann RJ (1976) Lecture Notes in Game Theory, Stanford UniversityGoogle Scholar
  4. [A3]
    Aumann RJ (1981) Survey of Repeated Games, in Essays in Game Theory and Mathematical Economics in Honor of Oskar Morgenstern, Bibliographishes Institute, Mannheim/Wein/Zurich, 11–92Google Scholar
  5. [B]
    Breiman L (1968) Probability, Addison-Wesley Publishing Co.Google Scholar
  6. [FM1]
    Fudenberg D, Maskin E (1986) Discounted Repeated Games with Unobservable Actions, I: One-Sided Moral Hazard, mimeoGoogle Scholar
  7. [FM2]
    Fudenberg D, Maskin E (1986) Discounted Repeated Games with Unobservable Actions, II: Two-Sided Moral Hazard, mimeoGoogle Scholar
  8. [GP]
    Green E, Porter R (1984) Noncooperative Collusion Under Imperfect Price Information, Econometrica, 52, 975–994Google Scholar
  9. [H]
    Hart S (1985) Nonzero-Sum Two-Person Repeated Games with Incomplete Information, Mathematics of Operations Research, 10, 117–153Google Scholar
  10. [K]
    Kuhn HW (1953) Extensive Games and the Problem of Information, in Contributions to the Theory of Games II, Ann. Math. Studies, 28, Kuhn HW, Tucker AW (eds.), Princeton, N.J.: Princeton University Press, 193–216Google Scholar
  11. [L1]
    Lehrer E (1986) Lower Equilibrium Payoffs in Repeated Games with Non-Observable Actions, International Journal of Game Theory, 18, 57–89Google Scholar
  12. [L2]
    Lehrer E (1986) Two Player Repeated Games with Non-Observable Actions and Observable Payoffs, Center for Research in Mathematical Economics and Game Theory (R. M. 76), The Hebrew University, JerusalemGoogle Scholar
  13. [L3]
    Lehrer E (1989) Correlated Equilibria in Two Player Repeated Games with Non-observable Actions, revised version, Northwestern University Working PaperGoogle Scholar
  14. [R1]
    Radner R (1981) Monitoring Cooperative Agreements in Repeated Principal-Agent Relationship, Econometrica, 49, 1127–1148Google Scholar
  15. [R2]
    Radner R (1986) Repeated Partnership Games with Imperfect Monitoring and No Discounting, Review of Economic Studies, 53 (1), 43–58Google Scholar
  16. [RY]
    Rubinstein A, Yaari M (1983) Repeated Insurance Contracts and Moral Hazard, Journal of Economic Theory, 30, 74–97Google Scholar
  17. [S1]
    Sorin S (1983) Some Results on the Existence of Nash Equilibria for Non-Zero Sum Games with Incomplete Information, International Journal of Game Theory,12 (4), 193–205Google Scholar
  18. [S2]
    Sorin S (1988) Repeated Games with Complete Information, CORE Discussion Paper No. 8822Google Scholar

Copyright information

© Physica-Verlag 1990

Authors and Affiliations

  • E. Lehrer
    • 1
    • 2
  1. 1.Department of Managerial Economics and Decision SciencesJ. L. Kellogg Graduate School of ManagementUSA
  2. 2.Department of MathematicsNorthwestern UniversityEvanston

Personalised recommendations