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Essential Components of the Set of Weakly Pareto-Nash Equilibria for Multiobjective Generalized Games

In: ICM Millennium Lectures on Games

Author

Listed:
  • Hui Yang

    (Guizhou University, Department of Mathematics)

Abstract

Summary In this paper, we introduce the notion of essential component of the set of weakly Pareto-Nash equilibria for multiobjective generalized games. We prove that, for every multiobjective generalized game (satisfying some continuity and convexity conditions), there exists at least one essential component of its weakly Pareto-Nash equilibria.

Suggested Citation

  • Hui Yang, 2003. "Essential Components of the Set of Weakly Pareto-Nash Equilibria for Multiobjective Generalized Games," Springer Books, in: Leon A. Petrosyan & David W. K. Yeung (ed.), ICM Millennium Lectures on Games, pages 267-278, Springer.
  • Handle: RePEc:spr:sprchp:978-3-662-05219-8_15
    DOI: 10.1007/978-3-662-05219-8_15
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