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On the Core of an Economy with Multilateral and Multidimensional Environmental Externalities


  • Charles Figuieres
  • Magali Verdonck


For simple economic models of transfrontier pollution, Chander and Tulkens (1995) and (1997) have offered a formula for transfers to sustain international cooperation on a voluntary basis and which deter coalitional free-riding under some reasonable behaviours of countries not in the coalition. Their scheme rests on the assumption that pollution is a scalar. Relaxing this assumption, interesting interactions among pollutations arise that call for a new formula. In this paper we extend Chander and Tulkens formula for this more realistic multidimensional context, and thereby enhance the practical and theoretical relevance of their seminal analysis.

Suggested Citation

  • Charles Figuieres & Magali Verdonck, 2003. "On the Core of an Economy with Multilateral and Multidimensional Environmental Externalities," Bristol Economics Discussion Papers 03/548, Department of Economics, University of Bristol, UK.
  • Handle: RePEc:bri:uobdis:03/548

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    References listed on IDEAS

    1. Parkash Chander & Henry Tulkens, 1995. "A core-theoretic solution for the design of cooperative agreements on transfrontier pollution," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 2(2), pages 279-293, August.
    2. GERMAIN, Marc & TOINT, Philippe & TULKENS, Henry & DE ZEEUW, Aart, 1998. "Transfers to sustain core-theoretic cooperation in international stock pollutant control," CORE Discussion Papers 1998032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Nordhaus, William D & Yang, Zili, 1996. "A Regional Dynamic General-Equilibrium Model of Alternative Climate-Change Strategies," American Economic Review, American Economic Association, vol. 86(4), pages 741-765, September.
    4. Marc Germain & Henry Tulkens & Aart de Zeeuw, 1998. "Stabilité stratégique en matière de pollution internationale avec effet de stock. Le cas linéaire," Revue Économique, Programme National Persée, vol. 49(6), pages 1435-1454.
    5. Chander, Parkash, 1993. "Dynamic Procedures and Incentives in Public Good Economies," Econometrica, Econometric Society, vol. 61(6), pages 1341-1354, November.
    6. Chander, Parkash & Tulkens, Henry, 1992. "Theoretical foundations of negotiations and cost sharing in transfrontier pollution problems," European Economic Review, Elsevier, vol. 36(2-3), pages 388-399, April.
    7. Henry Tulkens & Parkash Chander, 1997. "The Core of an Economy with Multilateral Environmental Externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(3), pages 379-401.
    8. Nordhaus, William D., 1993. "Rolling the 'DICE': an optimal transition path for controlling greenhouse gases," Resource and Energy Economics, Elsevier, vol. 15(1), pages 27-50, March.
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    Cited by:

    1. Porchiung Chou & Cheickna Sylla, 2008. "The formation of an international environmental agreement as a two-stage exclusive cartel formation game with transferable utilities," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 8(4), pages 317-341, December.

    More about this item


    international pollutions; Nash equilibrium; partial agreement Nash equilibrium; international transfers;

    JEL classification:

    • Q5 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics


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