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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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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, School of Information, Zhejiang University, Guizhou College of Finance and Economics, Hangzhou, Guiyang, P. R. China

    Z. Lin

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  1. Z. Lin
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The author thanks two referees for careful reading of the paper and helpful comments.

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Lin, Z. Essential Components of the Set of Weakly Pareto-Nash Equilibrium Points for Multiobjective Generalized Games in Two Different Topological Spaces. J Optim Theory Appl 124, 387–405 (2005). https://doi.org/10.1007/s10957-004-0942-0

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  • DOI: https://doi.org/10.1007/s10957-004-0942-0

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