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A dynamic game of waste management

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  • Jørgensen, Steffen
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    Abstract

    The paper studies a differential game of waste management (disposal). Each of three neighbouring regions is endowed with a stock of waste, but no additional waste is generated in any region and waste does not decay from natural reasons. A region's stock of waste can be reduced only by dumping on its neighbours. The model features two externalities: a strategic externality caused by the fact that the payoff of a coalition depends on the actions of players outside the coalition, and a stock externality caused by the fixed overall amount of waste. The game has a finite time horizon and it is shown that intertemporal core-theoretic cooperation can be sustained under intuitive conditions.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(09)00163-8
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    Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

    Volume (Year): 34 (2010)
    Issue (Month): 2 (February)
    Pages: 258-265

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    Handle: RePEc:eee:dyncon:v:34:y:2010:i:2:p:258-265
    Contact details of provider: Web page: http://www.elsevier.com/locate/jedc

    Keywords: Differential games Core-theoretic cooperation Waste disposal;

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    1. Germain, Marc & Toint, Philippe & Tulkens, Henry & de Zeeuw, Aart, 2003. "Transfers to sustain dynamic core-theoretic cooperation in international stock pollutant control," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 79-99, October.
    2. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, November.
    3. Baumol,William J. & Oates,Wallace E., 1988. "The Theory of Environmental Policy," Cambridge Books, Cambridge University Press, number 9780521311120, November.
    4. 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.
    5. Shapley, Lloyd S & Shubik, Martin, 1969. "On the Core of an Economic System with Externalities," American Economic Review, American Economic Association, vol. 59(4), pages 678-84, Part I Se.
    6. BRECHET, Thierry & GERARD, François & TULKENS, Henry, 2007. "Climate coalitions: a theoretical and computational appraisal," CORE Discussion Papers 2007003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Jorgensen, Steffen & Zaccour, Georges, 2001. "Time consistent side payments in a dynamic game of downstream pollution," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1973-1987, December.
    8. Germain, M. & Toint, Ph. & Tulkens, H. & de Zeeuw, A.J., 2003. "Transfers to sustain dynamic core-theoretic cooperation in international stock pollutant control," Other publications TiSEM 8953bc6e-fc65-4fd7-a2d1-6, Tilburg University, School of Economics and Management.
    9. Laurence Kranich & Andrés Perea & Hans Peters, 2005. "Core Concepts For Dynamic Tu Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 43-61.
    10. Predtetchinski, Arkadi, 2007. "The strong sequential core for stationary cooperative games," Games and Economic Behavior, Elsevier, vol. 61(1), pages 50-66, October.
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