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A Path-Following Procedure to Find a Proper Equilibrium of Finite Games

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  • Yamamoto, Yoshitsugu

Abstract

We propose a procedure to find a proper equilibrium of finite n-person games, which was introduced by Myerson as a refinement of perfect equilibrium. The procedure is a new variable dimension fixed point algorithm having [equation] directions in which it may leave the starting point, where m, is the number of the i-th player's pure strategies.

Suggested Citation

  • Yamamoto, Yoshitsugu, 1993. "A Path-Following Procedure to Find a Proper Equilibrium of Finite Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(3), pages 249-259.
    • Handle: RePEc:spr:jogath:v:22:y:1993:i:3:p:249-59
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    Cited by:

    1. Talman, A.J.J. & Yamamoto, M., 2001. "Contiuum of Zero Points of a Mapping on a Compact Convex Set," Discussion Paper 2001-56, Tilburg University, Center for Economic Research.
    2. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2002. "Perfection and Stability of Stationary Points with Applications in Noncooperative Games," Discussion Paper 2002-108, Tilburg University, Center for Economic Research.
    3. Herings, P.J.J. & Talman, A.J.J. & Yang, Z.F., 1999. "Variational Inequality Problems With a Continuum of Solutions : Existence and Computation," Other publications TiSEM 73e2f01b-ad4d-4447-95ba-a, Tilburg University, School of Economics and Management.
    4. John Kleppe & Peter Borm & Ruud Hendrickx, 2017. "Fall back proper equilibrium," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(2), pages 402-412, July.
    5. Chen, Yin & Dang, Chuangyin, 2020. "An extension of quantal response equilibrium and determination of perfect equilibrium," Games and Economic Behavior, Elsevier, vol. 124(C), pages 659-670.
    6. Boone, C.A.J.J. & Roijakkers, A.H.W.M. & van Olffen, W., 2002. "Locus of control and study program choice: evidence of personality sorting in educational choice," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    7. Talman, A.J.J. & Yang, Z., 1994. "A simplicial algorithm for computing proper Nash equilibria of finite games," Other publications TiSEM 1dcce65e-c699-4261-9109-7, Tilburg University, School of Economics and Management.
    8. Etessami, Kousha, 2021. "The complexity of computing a (quasi-)perfect equilibrium for an n-player extensive form game," Games and Economic Behavior, Elsevier, vol. 125(C), pages 107-140.
    9. Govindan, Srihari & Wilson, Robert, 2003. "A global Newton method to compute Nash equilibria," Journal of Economic Theory, Elsevier, vol. 110(1), pages 65-86, May.
    10. Theodore L. Turocy, 2002. "A Dynamic Homotopy Interpretation of Quantal Response Equilibrium Correspondences," Game Theory and Information 0212001, University Library of Munich, Germany, revised 16 Oct 2003.
    11. P. Herings & Ronald Peeters, 2010. "Homotopy methods to compute equilibria in game theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 119-156, January.
    12. Gerard van der Laan & A.F. Tieman, 1996. "Evolutionary Game Theory and the Modelling of Economic Behavior," Tinbergen Institute Discussion Papers 96-172/8, Tinbergen Institute.
    13. Turocy, Theodore L., 2005. "A dynamic homotopy interpretation of the logistic quantal response equilibrium correspondence," Games and Economic Behavior, Elsevier, vol. 51(2), pages 243-263, May.
    14. Jean-Jacques Herings, P., 2002. "Universally converging adjustment processes--a unifying approach," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 341-370, November.
    15. Herings,P. Jean-Jacques, 2000. "Universally Stable Adjustment Processes - A Unifying Approach -," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

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