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

  • Raouf Boucekkine

    (Department of economics and CORE - Université Catholique de Louvain)

  • Jacek B. Krawczyk

    (Victoria University of Wellington - University of Wellington)

  • Thomas Vallée

    (LEMNA - Laboratoire d'économie et de management de Nantes Atlantique - Université de Nantes : EA4272)

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., imposed 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 of the Belgian regions of Flanders and Wallonia that face a joint constraint, for which the regulator wants to develop a sharing rule. We analytically and numerically analyse the equilibrium regional production levels as a function of the pollution standards and of the sharing rules. We thus provide the regulator with an array of equilibria that he (or she) can select for implementation. For the computational results, we use NIRA, which is a piece of software designed to min-maximise the associated Nikaido-Isoda function.

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Paper provided by HAL in its series Working Papers with number hal-00422486.

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Date of creation: 2009
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Handle: RePEc:hal:wpaper:hal-00422486
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  1. Krawczyk, Jacek B., 2005. "Coupled constraint Nash equilibria in environmental games," Resource and Energy Economics, Elsevier, vol. 27(2), pages 157-181, June.
  2. 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.
  3. Jacek B. Krawczyk & Steffan Berridge, 1997. "Relaxation Algorithms in Finding Nash Equilibria," Computational Economics 9707002, EconWPA.
  4. 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, 01.
  5. BOUCEKKINE, Raouf & GERMAIN, Marc, . "The burden sharing of pollution abatement costs in multi-regional open economies," CORE Discussion Papers RP 2114, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Contreras, Javier & Krawczyk, Jacek & Zuccollo, James, 2008. "The invisible polluter: Can regulators save consumer surplus?," MPRA Paper 9890, University Library of Munich, Germany.
  7. Jacek Krawczyk, 2007. "Numerical solutions to coupled-constraint (or generalised Nash) equilibrium problems," Computational Management Science, Springer, vol. 4(2), pages 183-204, April.
  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. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-37, October.
  10. 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.
  11. 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.
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