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

Author

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  • Raouf, BOUCEKKINE

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

  • Jacek B., KRAWCZYK
  • Thomas, VALLEE
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 emply it by using the coupled constraint’s Lagrange multipliers as taxation coefficients. However, to implement the solution, a coupled constraints equilibrium needs to exist and must also be unique. We consider a stylised model that possesses these properties, of the Belgian regions of Flanders and Wallonia. We analyse the regional production levels, which result from the equilibrium, as a function of the pollution standards and of the sharing rules for the satisfaction of the constraint

Suggested Citation

  • Raouf, BOUCEKKINE & Jacek B., KRAWCZYK & Thomas, VALLEE, 2008. "Towards an understanding of tradeoffs between regional wealth, tightness of a common environmental constraint and the sharing rules," Discussion Papers (ECON - Département des Sciences Economiques) 2008035, Université catholique de Louvain, Département des Sciences Economiques.
    • Handle: RePEc:ctl:louvec:2008035
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    References listed on IDEAS

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    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Contreras, Javier & Krawczyk, Jacek & Zuccollo, James, 2008. "The invisible polluter: Can regulators save consumer surplus?," MPRA Paper 9890, University Library of Munich, Germany.
    3. 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.
    4. Steffan Berridge & Jacek Krawczyk, "undated". "Relaxation Algorithms in Finding Nash Equilibrium," Computing in Economics and Finance 1997 159, Society for Computational Economics.
    5. 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.
    6. Jong-Shi Pang & Masao Fukushima, 2005. "Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games," Computational Management Science, Springer, vol. 2(1), pages 21-56, January.
    7. 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.
    8. Marc Germain & Philippe Monfort & Thierry Bréchet, 2006. "Allocation des efforts de dépollution dans des économies avec spécialisation internationale," Revue économique, Presses de Sciences-Po, vol. 57(2), pages 219-239.
    9. Alain Haurie & Jacek B Krawczyk & Georges Zaccour, 2012. "Markov Games," World Scientific Book Chapters, in: Games and Dynamic Games, chapter 9, pages 329-382, World Scientific Publishing Co. Pte. Ltd..
    10. Krawczyk, Jacek B., 2005. "Coupled constraint Nash equilibria in environmental games," Resource and Energy Economics, Elsevier, vol. 27(2), pages 157-181, June.
    11. 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.
    12. 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.
    13. 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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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    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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