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Buying cooperation in an asymmetric environmental differential game

  • Smala Fanokoa, Pascaux
  • Telahigue, Issam
  • Zaccour, Georges

We consider a two-player asymmetric differential game of pollution control. One player is non-vulnerable to pollution, or unwilling to consider damages when choosing her production policy in a non-cooperative game. We characterize the feedback-Nash equilibrium and the cooperative solution. We establish conditions under which the vulnerable player can buy the cooperation of the non-vulnerable player to control her emissions. We further use the Nash bargaining solution to allocate the total cooperative dividend between the two players and propose a time-consistent decomposition overtime of the total payoff.

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Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 35 (2011)
Issue (Month): 6 (June)
Pages: 935-946

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Handle: RePEc:eee:dyncon:v:35:y:2011:i:6:p:935-946
Contact details of provider: Web page: http://www.elsevier.com/locate/jedc

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  1. GERMAIN, Marc & TOINT, Philippe & TULKENS, Henry & DE ZEEUW, Aart, . "Transfers to sustain dynamic core-theoretic cooperation in international stock pollutant control," CORE Discussion Papers RP -1637, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  6. repec:cup:cbooks:9780521637329 is not listed on IDEAS
  7. 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.
  8. Steffen Jørgensen & Guiomar Martín-Herrán & Georges Zaccour, 2005. "Sustainability Of Cooperation Overtime In Linear-Quadratic Differential Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 395-406.
  9. Kaitala, V. & Mäler, K.-G. & Tulkens, H., . "The acid rain game as a resource allocation process with an application to the international cooperation among Finland, Russia and Estonia," CORE Discussion Papers RP -1150, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Haurie, Alain & Pohjola, Matti, 1987. "Efficient equilibria in a differential game of capitalism," Journal of Economic Dynamics and Control, Elsevier, vol. 11(1), pages 65-78, March.
  11. 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.
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  13. Veijo Kaitala & Matti Pohjola & Olli Tahvonen, 1992. "Transboundary air pollution and soil acidification: A dynamic analysis of an acid rain game between Finland and the USSR," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 2(2), pages 161-181, March.
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