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A Cooperative Dynamic Environmental Game of Subgame Consistent Clean Technology Development

Author

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  • David W. K. Yeung

    (Center of Game Theory, St. Petersburg State University, St. Petersburg 198904, Russia2SRS Consortium for Advanced Study in Cooperative Dynamic Games, Hong Kong Shue Yan University, Hong Kong, P. R. China)

  • Leon A. Petrosyan

    (Faculty of Applied Mathematics-Control Processes, St. Petersburg State University, St. Petersburg 198904, Russia)

Abstract

Cooperative adoption and development of clean technology play a key role to effectively solving the continual worsening industrial pollution problem. For cooperation over time to be credible, a subgame consistency solution which requires the agreed-upon optimality principle to remain in effect throughout the collaboration duration has to hold. In this paper, we present a cooperative dynamic game of collaborative environmental management with clean technology development. A subgame consistent cooperative scheme is derived. It is the first time that cooperative dynamic environmental games with clean technology development are analyzed. Given that there exist discrete choices of production techniques and switching to clean technology brings about cost savings and improved effectiveness, the group optimal solution cannot be obtained with standard differentiable optimization techniques. To overcome this problem the joint optimal solutions for all the possible patterns of production techniques are computed and the pattern with the highest joint payoff is then selected. The analysis widens the scope of study in collaborative environmental management.

Suggested Citation

  • David W. K. Yeung & Leon A. Petrosyan, 2016. "A Cooperative Dynamic Environmental Game of Subgame Consistent Clean Technology Development," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-23, June.
    • Handle: RePEc:wsi:igtrxx:v:18:y:2016:i:02:n:s0219198916400089
    DOI: 10.1142/S0219198916400089
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    References listed on IDEAS

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    1. Shoude Li, 2014. "A Differential Game of Transboundary Industrial Pollution with Emission Permits Trading," Journal of Optimization Theory and Applications, Springer, vol. 163(2), pages 642-659, November.
    2. 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.
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    6. Rubio, Santiago J. & Ulph, Alistair, 2007. "An infinite-horizon model of dynamic membership of international environmental agreements," Journal of Environmental Economics and Management, Elsevier, vol. 54(3), pages 296-310, November.
    7. D. W. K. Yeung & L. A. Petrosyan, 2004. "Subgame Consistent Cooperative Solutions in Stochastic Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 120(3), pages 651-666, March.
    8. Prajit Dutta & Roy Radner, 2006. "Population growth and technological change in a global warming model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 251-270, October.
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    10. D. W. K. Yeung & L. A. Petrosyan, 2010. "Subgame Consistent Solutions for Cooperative Stochastic Dynamic Games," Journal of Optimization Theory and Applications, Springer, vol. 145(3), pages 579-596, June.
    11. Breton, Michele & Zaccour, Georges & Zahaf, Mehdi, 2006. "A game-theoretic formulation of joint implementation of environmental projects," European Journal of Operational Research, Elsevier, vol. 168(1), pages 221-239, January.
    12. D. W. K. Yeung, 2008. "Dynamically Consistent Solution For A Pollution Management Game In Collaborative Abatement With Uncertain Future Payoffs," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 517-538.
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    Cited by:

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    3. Sedakov, Artem & Qiao, Han & Wang, Shouyang, 2021. "A model of river pollution as a dynamic game with network externalities," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1136-1153.

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