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Towards an understanding of tradeoffs between regional wealth, tightness of a common environmental constraint and the sharing rules

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  • BOUCEKKINE, Raouf
  • KRAWCZYK, Jacek B.
  • VALLEE, Thomas
Abstract
Consider a country with two regions that have developed differently so that their current levels of energy efficiency differ. Each region's production involves the emission of pollutants, on which a regulator might impose restrictions. The restrictions can be related to pollution standards that the regulator perceives as binding the whole country (e.g., enforced by international agreements like the Kyoto Protocol). We observe that the pollution standards define a common constraint upon the joint strategy space of the regions. We propose a game theoretic model with a coupled constraints equilibrium as a solution to the regulator's problem of avoiding excessive pollution. The regulator can direct the regions to implement the solution by using a political pressure, or compel them to employ it by using the coupled constraints' Lagrange multipliers as taxation coefficients. We specify a stylised model that possesses those characteristics, of the Belgian regions of Flanders and Wallonia. We analytically and numerically analyse the equilibrium regional production levels as a function of the pollution standards and of the sharing rules for the satisfaction of the constraint. For the computational results, we use NIRA, which is a piece of software designed to min-maximise the associated Nikaido-Isoda function.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • BOUCEKKINE, Raouf & KRAWCZYK, Jacek B. & VALLEE, Thomas, 2010. "Towards an understanding of tradeoffs between regional wealth, tightness of a common environmental constraint and the sharing rules," LIDAM Reprints CORE 2332, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2332
    DOI: 10.1016/j.jedc.2010.02.004
    Note: In : Journal of Economic Dynamics & Control, 34(9), 1813-1835, 2010
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    5. Jacek B. Krawczyk & Mabel Tidball, 2009. "How to use Rosen's normalised equilibrium to enforce a socially desirable Pareto efficient solution," Working Papers 09-20, LAMETA, Universtiy of Montpellier, revised Jan 2011.
    6. Boucekkine Raouf & Germain Marc, 2009. "The Burden Sharing of Pollution Abatement Costs in Multi-Regional Open Economies," The B.E. Journal of Macroeconomics, De Gruyter, vol. 9(1), pages 1-34, June.
    7. Krawczyk, Jacek & Zuccollo, James, 2006. "NIRA-3: An improved MATLAB package for finding Nash equilibria in infinite games," MPRA Paper 1119, University Library of Munich, Germany.
    8. Laurent Drouet & Alain Haurie & Francesco Moresino & Jean-Philippe Vial & Marc Vielle & Laurent Viguier, 2008. "An oracle based method to compute a coupled equilibrium in a model of international climate policy," Computational Management Science, Springer, vol. 5(1), pages 119-140, February.
    9. Jacek Krawczyk, 2007. "Numerical solutions to coupled-constraint (or generalised Nash) equilibrium problems," Computational Management Science, Springer, vol. 4(2), pages 183-204, April.
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    12. Benjamin F. Hobbs & J. S. Pang, 2007. "Nash-Cournot Equilibria in Electric Power Markets with Piecewise Linear Demand Functions and Joint Constraints," Operations Research, INFORMS, vol. 55(1), pages 113-127, February.
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    Cited by:

    1. Dissou, Yazid, 2013. "Regional Burden Sharing of Carbon Mitigation Cost and Output-Based Allocation of Emissions," Conference papers 332342, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    2. Jacek B. Krawczyk & Mabel Tidball, 2016. "Economic Problems with Constraints: How Efficiency Relates to Equilibrium," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-19, December.
    3. Arif, Faisal & Dissou, Yazid, 2016. "Regional burden sharing of GHG mitigation policies in a decentralized federation," Economic Modelling, Elsevier, vol. 52(PB), pages 390-399.
    4. Yao, Mingzhu & Wang, Donggen & Yang, Hai, 2017. "A game-theoretic model of car ownership and household time allocation," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 667-685.
    5. J. Contreras & J. B. Krawczyk & J. Zuccollo, 2016. "Economics of collective monitoring: a study of environmentally constrained electricity generators," Computational Management Science, Springer, vol. 13(3), pages 349-369, July.
    6. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2011. "Sustainable growth under pollution quotas: optimal R&D, investment and replacement policies," Working Papers halshs-00632887, HAL.

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    More about this item

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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