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A General Quasi-variational Problem of Cournot-Nash Type and Its Inverse Formulation

Author

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  • Annamaria Barbagallo

    (University of Naples “Federico II”)

  • Paolo Mauro

    (University of Catania)

Abstract

The aim of the paper is to study an evolutionary quasi-variational inequality, which expresses the equilibrium conditions of a general oligopolistic market equilibrium model, and to present its inverse formulation.

Suggested Citation

  • Annamaria Barbagallo & Paolo Mauro, 2016. "A General Quasi-variational Problem of Cournot-Nash Type and Its Inverse Formulation," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 476-492, August.
    • Handle: RePEc:spr:joptap:v:170:y:2016:i:2:d:10.1007_s10957-016-0924-z
    DOI: 10.1007/s10957-016-0924-z
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    References listed on IDEAS

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    1. Annamaria Barbagallo & Stéphane Pia, 2015. "Weighted Quasi-Variational Inequalities in Non-pivot Hilbert Spaces and Applications," Journal of Optimization Theory and Applications, Springer, vol. 164(3), pages 781-803, March.
    2. 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.
    3. Maria Bernadette Donato & Monica Milasi & Laura Scrimali, 2011. "Walrasian Equilibrium Problem with Memory Term," Journal of Optimization Theory and Applications, Springer, vol. 151(1), pages 64-80, October.
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    Citations

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    Cited by:

    1. Akhtar A. Khan & Dumitru Motreanu, 2018. "Inverse problems for quasi-variational inequalities," Journal of Global Optimization, Springer, vol. 70(2), pages 401-411, February.
    2. Annamaria Barbagallo & Bruno Antonio Pansera & Massimiliano Ferrara, 2024. "Notes on random optimal control equilibrium problem via stochastic inverse variational inequalities," Computational Management Science, Springer, vol. 21(1), pages 1-21, June.

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