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Notes on random optimal control equilibrium problem via stochastic inverse variational inequalities

Author

Listed:
  • Annamaria Barbagallo

    (University of Naples Federico II)

  • Bruno Antonio Pansera

    (University Mediterranea of Reggio Calabria)

  • Massimiliano Ferrara

    (University Mediterranea of Reggio Calabria
    Istanbul OKAN University)

Abstract

The main objective of the paper is to analyze how policymakers influence the random oligopolistic market equilibrium problem. To this purpose, random optimal control equilibrium conditions are introduced. Since the random optimal regulatory tax is characterized by a stochastic inverse variational inequality, existence and well-posedness results on such an inequality are proved. At last a numerical example is discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:comgts:v:21:y:2024:i:1:d:10.1007_s10287-024-00502-5
    DOI: 10.1007/s10287-024-00502-5
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    References listed on IDEAS

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    1. Nagurney, Anna & Dupuis, Paul & Zhang, Ding, 1994. "A Dynamical Systems Approach for Network Oligopolies and Variational Inequalities," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 28(3), pages 263-283, September.
    2. Annamaria Barbagallo & Paolo Mauro, 2013. "A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium Problem," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, November.
    3. 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.
    4. Zhou, Jing & Lam, William H.K. & Heydecker, Benjamin G., 2005. "The generalized Nash equilibrium model for oligopolistic transit market with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 39(6), pages 519-544, July.
    5. Annamaria Barbagallo & Paolo Mauro, 2012. "Time-Dependent Variational Inequality for an Oligopolistic Market Equilibrium Problem with Production and Demand Excesses," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-35, July.
    6. Pablo Dorta-González & Dolores R. Santos-Peñate & Rafael Suárez-Vega, 2004. "Cournot oligopolistic competition in spatially separated markets: The Stackelberg equilibrium," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 38(3), pages 499-511, September.
    7. Francesca Anceschi & Annamaria Barbagallo & Serena Guarino Lo Bianco, 2023. "Inverse Tensor Variational Inequalities and Applications," Journal of Optimization Theory and Applications, Springer, vol. 196(2), pages 570-589, February.
    8. Dafermos, Stella & Nagurney, Anna, 1987. "Oligopolistic and competitive behavior of spatially separated markets," Regional Science and Urban Economics, Elsevier, vol. 17(2), pages 245-254.
    9. 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.
    10. Annamaria Barbagallo & Serena Guarino Lo Bianco, 2023. "A random time-dependent noncooperative equilibrium problem," Computational Optimization and Applications, Springer, vol. 84(1), pages 27-52, January.
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