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Cooperation in pollution control problems via evolutionary variational inequalities

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  • Laura Scrimali

    (Università di Catania)

  • Cristina Mirabella

    (Università di Catania)

Abstract

In this paper, we develop a cooperative game framework for modeling the pollution control problem in a time-dependent setting. We examine the situation in which different countries, aiming at reducing pollution emissions, coordinate both emissions and investment strategies to optimize jointly their welfare. We state the equilibrium conditions underlying the model and provide a formulation in terms of an evolutionary variational inequality. Then, by means of infinite dimensional duality tools, we prove the existence of Lagrange multipliers that play a fundamental role to describe countries’ decision-making processes. Finally, we discuss the existence of solutions and provide a numerical example.

Suggested Citation

  • Laura Scrimali & Cristina Mirabella, 2018. "Cooperation in pollution control problems via evolutionary variational inequalities," Journal of Global Optimization, Springer, vol. 70(2), pages 455-476, February.
    • Handle: RePEc:spr:jglopt:v:70:y:2018:i:2:d:10.1007_s10898-017-0580-3
    DOI: 10.1007/s10898-017-0580-3
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    Cited by:

    1. Timilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo, 2024. "Strong Convergent Inertial Two-subgradient Extragradient Method for Finding Minimum-norm Solutions of Variational Inequality Problems," Networks and Spatial Economics, Springer, vol. 24(2), pages 425-459, June.
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    4. Shijin Wang & Guirong Ji & Zhaolian Hu & Fangdao Qiu, 2022. "Research on the Spatial Correlation of China’s Haze Pollution and the Government’s Cooperative Governance Competitive Strategy," IJERPH, MDPI, vol. 20(1), pages 1-15, December.

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