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

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  • Yamamoto, Yoshitsugu
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    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.

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    Bibliographic Info

    Article provided by Springer in its journal International Journal of Game Theory.

    Volume (Year): 22 (1993)
    Issue (Month): 3 ()
    Pages: 249-59

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    Handle: RePEc:spr:jogath:v:22:y:1993:i:3:p:249-59

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    Cited by:
    1. Theodore L. Turocy, 2002. "A Dynamic Homotopy Interpretation of Quantal Response Equilibrium Correspondences," Game Theory and Information 0212001, EconWPA, revised 16 Oct 2003.
    2. Talman, A.J.J. & Yamamoto, M., 2004. "Contimuum of zero points of a mapping on a compact, convex set," Open Access publications from Tilburg University urn:nbn:nl:ui:12-141075, Tilburg University.
    3. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2002. "Perfection and Stability of Stationary Points with Applications to Noncooperative Games," Tinbergen Institute Discussion Papers 02-126/1, Tinbergen Institute.
    4. Herings, P.J.J. & Talman, A.J.J. & Yang, Z.F., 2001. "Variational inequality problems with a continuum of solutions: Existence and computation," Open Access publications from Tilburg University urn:nbn:nl:ui:12-86829, Tilburg University.
    5. P.J.J. Herings, 2001. "Universally Stable Adjustment Processes - A Unifying Approach," GE, Growth, Math methods 0205002, EconWPA.
    6. P. Herings & Ronald Peeters, 2010. "Homotopy methods to compute equilibria in game theory," Economic Theory, Springer, vol. 42(1), pages 119-156, January.
    7. Herings, P.J.J. & Talman, A.J.J. & Zang, Z., 1994. "The computation of a continuum of constrained equilibria," Discussion Paper 1994-38, Tilburg University, Center for Economic Research.
    8. 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.
    9. 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.
    10. 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.
    11. repec:dgr:uvatin:2096172 is not listed on IDEAS

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