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Variational Inequality Approach to Stochastic Nash Equilibrium Problems with an Application to Cournot Oligopoly

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  • B. Jadamba

    (Center for Applied and Computational Mathematics, Rochester Institute of Technology)

  • F. Raciti

    (Università di Catania)

Abstract

In this note, we investigate stochastic Nash equilibrium problems by means of monotone variational inequalities in probabilistic Lebesgue spaces. We apply our approach to a class of oligopolistic market equilibrium problems, where the data are known through their probability distributions.

Suggested Citation

  • B. Jadamba & F. Raciti, 2015. "Variational Inequality Approach to Stochastic Nash Equilibrium Problems with an Application to Cournot Oligopoly," Journal of Optimization Theory and Applications, Springer, vol. 165(3), pages 1050-1070, June.
    • Handle: RePEc:spr:joptap:v:165:y:2015:i:3:d:10.1007_s10957-014-0673-9
    DOI: 10.1007/s10957-014-0673-9
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    References listed on IDEAS

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    Cited by:

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    2. Vikas Vikram Singh & Abdel Lisser, 2018. "Variational inequality formulation for the games with random payoffs," Journal of Global Optimization, Springer, vol. 72(4), pages 743-760, December.
    3. Georgia Fargetta & Antonino Maugeri & Laura Scrimali, 2022. "A Stochastic Nash Equilibrium Problem for Medical Supply Competition," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 354-380, June.
    4. Francesca Faraci & Baasansuren Jadamba & Fabio Raciti, 2016. "On Stochastic Variational Inequalities with Mean Value Constraints," Journal of Optimization Theory and Applications, Springer, vol. 171(2), pages 675-693, November.
    5. Vikas Vikram Singh & Abdel Lisser, 2018. "A Characterization of Nash Equilibrium for the Games with Random Payoffs," Journal of Optimization Theory and Applications, Springer, vol. 178(3), pages 998-1013, September.

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