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Essential Components of the Set of Weakly Pareto-Nash Equilibrium Points for Multiobjective Generalized Games in Two Different Topological Spaces

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  • Z. Lin

    (Zhejiang University, Guizhou College of Finance and Economics)

Abstract

In this paper, we study the existence and essential components of the set of weakly Pareto-Nash equilibrium points for multiobjective generalized games in two different uniform topological spaces. We obtain some new existence theorems. Examples show that the results are not identical in two different topological spaces.

Suggested Citation

  • Z. Lin, 2005. "Essential Components of the Set of Weakly Pareto-Nash Equilibrium Points for Multiobjective Generalized Games in Two Different Topological Spaces," Journal of Optimization Theory and Applications, Springer, vol. 124(2), pages 387-405, February.
    • Handle: RePEc:spr:joptap:v:124:y:2005:i:2:d:10.1007_s10957-004-0942-0
    DOI: 10.1007/s10957-004-0942-0
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    References listed on IDEAS

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    1. Hillas, John, 1990. "On the Definition of the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 58(6), pages 1365-1390, November.
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    Cited by:

    1. Sofía Correa & Juan Pablo Torres-Martínez, 2016. "Large Multi-Objective Generalized Games: Existence and Essential Stability of Equilibria," Working Papers wp430, University of Chile, Department of Economics.
    2. J. C. Chen & X. H. Gong, 2008. "The Stability of Set of Solutions for Symmetric Vector Quasi-Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 136(3), pages 359-374, March.

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