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Time-Dependent Generalized Nash Equilibrium Problem

Author

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  • John Cotrina

    (Universidad del Pacífico)

  • Javier Zúñiga

    (Universidad del Pacífico)

Abstract

We prove an existence result for the time-dependent generalized Nash equilibrium problem under generalized convexity without neither a quasi-variational inequality reformulation nor a quasi-equilibrium problem reformulation. Furthermore, an application to the time-dependent abstract economy is considered.

Suggested Citation

  • John Cotrina & Javier Zúñiga, 2018. "Time-Dependent Generalized Nash Equilibrium Problem," Journal of Optimization Theory and Applications, Springer, vol. 179(3), pages 1054-1064, December.
    • Handle: RePEc:spr:joptap:v:179:y:2018:i:3:d:10.1007_s10957-018-1383-5
    DOI: 10.1007/s10957-018-1383-5
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    References listed on IDEAS

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    1. I. Benedetti & M. B. Donato & M. Milasi, 2013. "Existence for Competitive Equilibrium by Means of Generalized Quasivariational Inequalities," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, February.
    2. Paolo Cubiotti & Jen-Chih Yao, 2010. "Nash equilibria of generalized games in normed spaces without upper semicontinuity," Journal of Global Optimization, Springer, vol. 46(4), pages 509-519, April.
    3. Didier Aussel & Rachana Gupta & Aparna Mehra, 2016. "Evolutionary Variational Inequality Formulation of the Generalized Nash Equilibrium Problem," Journal of Optimization Theory and Applications, Springer, vol. 169(1), pages 74-90, April.
    4. Efe A. Ok, 2007. "Preliminaries of Real Analysis, from Real Analysis with Economic Applications," Introductory Chapters, in: Real Analysis with Economic Applications, Princeton University Press.
    5. Marco Castellani & Massimiliano Giuli & Massimo Pappalardo, 2018. "A Ky Fan Minimax Inequality for Quasiequilibria on Finite-Dimensional Spaces," Journal of Optimization Theory and Applications, Springer, vol. 179(1), pages 53-64, October.
    6. Annamaria Barbagallo & Paolo Mauro, 2012. "Evolutionary Variational Formulation for Oligopolistic Market Equilibrium Problems with Production Excesses," Journal of Optimization Theory and Applications, Springer, vol. 155(1), pages 288-314, October.
    7. Yannelis, Nicholas C., 1987. "Equilibria in noncooperative models of competition," Journal of Economic Theory, Elsevier, vol. 41(1), pages 96-111, February.
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    Cited by:

    1. Tiago Roux Oliveira & Victor Hugo Pereira Rodrigues & Miroslav Krstić & Tamer Başar, 2021. "Nash Equilibrium Seeking in Quadratic Noncooperative Games Under Two Delayed Information-Sharing Schemes," Journal of Optimization Theory and Applications, Springer, vol. 191(2), pages 700-735, December.
    2. Shipra Singh & Aviv Gibali & Simeon Reich, 2024. "Multidimensional Evolution Effects on Non-Cooperative Strategic Games," Mathematics, MDPI, vol. 12(16), pages 1-30, August.
    3. Orestes Bueno & John Cotrina, 2021. "Existence of Projected Solutions for Generalized Nash Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 191(1), pages 344-362, October.
    4. John Cotrina & Javier Zúñiga, 2019. "Quasi-equilibrium problems with non-self constraint map," Journal of Global Optimization, Springer, vol. 75(1), pages 177-197, September.

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