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Controlling the international stock pollutant with policies depending on target values

  • Casas, Omar J.
  • Romera, Rosario
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    In this paper a stochastic dynamic game formulation of the economics of international environmental agreements on the transnational pollution control, when the environmental damage arises from stock pollutant that accumulates, for accumulating pollutants such as CO2 in the atmosphere is provided. To improve the non-cooperative equilibrium among countries, we propose a different criterion to the minimization of the expected discounted total cost. Moreover, we consider Cooperative versus Noncooperative Stochastic Dynamic Games formulated as Markov Decision Processes (MDP). We propose a new alternative where the decision-maker wants to maximize the probability that some total performance of the dynamical game does not exceed a target value during a fixed period of time. The task requirements are therefore formulated as probabilities rather than expectations. This approach is different from the standard MDP, which uses performance criteria based on the expected value of some index. We present properties of the optimal policies obtained under this new perspective.

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    Paper provided by Universidad Carlos III de Madrid. Departamento de Estadística in its series DES - Working Papers. Statistics and Econometrics. WS with number ws096019.

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    Date of creation: Sep 2009
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    Handle: RePEc:cte:wsrepe:ws096019
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    1. 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.
    2. Frederick Ploeg & Aart Zeeuw, 1992. "International aspects of pollution control," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 2(2), pages 117-139, March.
    3. Petrosjan, Leon & Zaccour, Georges, 2003. "Time-consistent Shapley value allocation of pollution cost reduction," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 381-398, January.
    4. Dechert, W.D. & O'Donnell, S.I., 2006. "The stochastic lake game: A numerical solution," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1569-1587.
    5. EYCKMANS, Johan & TULKENS, Henry, 1999. "Simulating coalitionally stable burden sharing agreements for the climate change problem," CORE Discussion Papers 1999026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. 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.
    7. Carlo Carraro & Johan Eyckmans & Michael Finus, 2005. "Optimal Transfers and Participation Decisions in International Environmental Agreements," Working Papers 2005.50, Fondazione Eni Enrico Mattei.
    8. Santiago Rubio & Begoña Casino, 2005. "Self-enforcing international environmental agreements with a stock pollutant," Spanish Economic Review, Springer;Spanish Economic Association, vol. 7(2), pages 89-109, 06.
    9. Keller, Klaus & Bolker, Benjamin M. & Bradford, D.F.David F., 2004. "Uncertain climate thresholds and optimal economic growth," Journal of Environmental Economics and Management, Elsevier, vol. 48(1), pages 723-741, July.
    10. 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.
    11. Chander, P. & Tulkens, H., . "The core of an economy with multilateral environmental externalities," CORE Discussion Papers RP 1276, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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