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Duality for Equilibrium Problems

Author

Listed:
  • Konnov, I.V.
  • Schaible, S.

Abstract

Duality is studied for an abstract equilibrium problem which generalizes several classical problems including models in optimization and variational problems. Following different schemes, various duals are proposed and primal-dual relationships are established under certain generalized convexity and generalized monotonicity assumptions. In this primal-dual setting, existence results for a solution of the primal equilibrium problem are derived for each duality scheme.

Suggested Citation

  • Konnov, I.V. & Schaible, S., 1998. "Duality for Equilibrium Problems," The A. Gary Anderson Graduate School of Management 98-05, The A. Gary Anderson Graduate School of Management. University of California Riverside.
    • Handle: RePEc:fth:caland:98-05
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    Citations

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    Cited by:

    1. L.J. Lin & Q.H. Ansari & J.Y. Wu, 2003. "Geometric Properties and Coincidence Theorems with Applications to Generalized Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 117(1), pages 121-137, April.
    2. E. Allevi & A. Gnudi & I.V. Konnov & S. Schaible, 2003. "Noncooperative Games with Vector Payoffs Under Relative Pseudomonotonicity," Journal of Optimization Theory and Applications, Springer, vol. 118(2), pages 245-254, August.
    3. I.V. Konnov, 2003. "Application of the Proximal Point Method to Nonmonotone Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 317-333, November.
    4. M. Fakhar & J. Zafarani, 2004. "Generalized Equilibrium Problems for Quasimonotone and Pseudomonotone Bifunctions," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 349-364, November.

    More about this item

    Keywords

    GENERAL EQUILIBRIUM ; DUALITY ; MATHEMATICAL ANALYSIS;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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