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Transboundary pollution control and environmental absorption efficiency management

Author

Listed:
  • Fouad El Ouardighi

    (ESSEC Business School)

  • Konstantin Kogan

    (Bar-Ilan University)

  • Giorgio Gnecco

    (IMT - School for Advanced Studies)

  • Marcello Sanguineti

    (University of Genova)

Abstract

In this paper, we suggest a two-player differential game model of transboundary pollution that accounts for time-dependent environmental absorption efficiency, which allows the biosphere to switch from a carbon sink to a source. We investigate the impact of negative externalities resulting from a transboundary pollution non-cooperative game wherein countries are dynamically involved. Based on a linear-quadratic specification for the instantaneous revenue function, we assess differences related to both transient path and steady state between cooperative solution, open-loop and Markov perfect Nash equilibria (MPNE). Regarding the methodological contribution of the paper, we suggest a particular structure of the conjectured value function to solve MPNE problems with multiplicative interaction between state variables in one state equation, so that third-order terms that arise in the Hamilton–Jacobi–Bellman equation are made negligible. Using a collocation procedure, we confirm the validity of the particular structure of the conjectured value function. The results suggest unexpected contrasts in terms of pollution control and environmental absorption efficiency management: (i) in the long run, an open-loop Nash equilibrium (OLNE) allows equivalent emissions to the social optimum but requires greater restoration efforts; (ii) although an MPNE is likely to end up with lower emissions and greater restoration efforts than an OLNE, it has a much greater chance of falling in the emergency area; (iii) the absence of cooperation and or precommitment becomes more costly as the initial absorption efficiency decreases; (iv) more heavily discounted MPNE strategies are less robust than OLNE to prevent irreversible switching of the biosphere from a carbon sink to a source.

Suggested Citation

  • Fouad El Ouardighi & Konstantin Kogan & Giorgio Gnecco & Marcello Sanguineti, 2020. "Transboundary pollution control and environmental absorption efficiency management," Annals of Operations Research, Springer, vol. 287(2), pages 653-681, April.
  • Handle: RePEc:spr:annopr:v:287:y:2020:i:2:d:10.1007_s10479-018-2927-7
    DOI: 10.1007/s10479-018-2927-7
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    1. Boucekkine, R. & Pommeret, A. & Prieur, F., 2013. "Optimal regime switching and threshold effects," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2979-2997.
    2. Benchekroun, Hassan & Martín-Herrán, Guiomar, 2016. "The impact of foresight in a transboundary pollution game," European Journal of Operational Research, Elsevier, vol. 251(1), pages 300-309.
    3. Karl-Göran Mäler & Anastasios Xepapadeas & Aart de Zeeuw, 2003. "The Economics of Shallow Lakes," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 603-624, December.
    4. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711.
    5. Dieter Grass & Jonathan P. Caulkins & Gustav Feichtinger & Gernot Tragler & Doris A. Behrens, 2008. "Optimal Control of Nonlinear Processes," Springer Books, Springer, number 978-3-540-77647-5, September.
    6. Drew Fudenberg & David K. Levine, 1988. "Open and Closed-Loop Equilibria in Dynamic Games With Many Players," Levine's Working Paper Archive 221, David K. Levine.
    7. Engelbert Dockner & Florian Wagener, 2014. "Markov perfect Nash equilibria in models with a single capital stock," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 585-625, August.
    8. Naomi Vaughan & Timothy Lenton, 2011. "A review of climate geoengineering proposals," Climatic Change, Springer, vol. 109(3), pages 745-790, December.
    9. Shilong Piao & Philippe Ciais & Pierre Friedlingstein & Philippe Peylin & Markus Reichstein & Sebastiaan Luyssaert & Hank Margolis & Jingyun Fang & Alan Barr & Anping Chen & Achim Grelle & David Y. Ho, 2008. "Net carbon dioxide losses of northern ecosystems in response to autumn warming," Nature, Nature, vol. 451(7174), pages 49-52, January.
    10. 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.
    11. 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.
    12. Doraszelski, Ulrich, 2003. "An R&D Race with Knowledge Accumulation," RAND Journal of Economics, The RAND Corporation, vol. 34(1), pages 20-42, Spring.
    13. Tahvonen, Olli & Withagen, Cees, 1996. "Optimality of irreversible pollution accumulation," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1775-1795.
    14. Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July.
    15. Drew Fudenberg & David K. Levine, 2008. "Open-Loop and Closed-Loop Equilibria in Dynamic Games with Many Players," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 3, pages 41-58, World Scientific Publishing Co. Pte. Ltd..
    16. Rowat, Colin, 2007. "Non-linear strategies in a linear quadratic differential game," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3179-3202, October.
    17. Peter M. Cox & Richard A. Betts & Chris D. Jones & Steven A. Spall & Ian J. Totterdell, 2000. "Erratum: Acceleration of global warming due to carbon-cycle feedbacks in a coupled climate model," Nature, Nature, vol. 408(6813), pages 750-750, December.
    18. Kossioris, G. & Plexousakis, M. & Xepapadeas, A. & de Zeeuw, A. & Mäler, K.-G., 2008. "Feedback Nash equilibria for non-linear differential games in pollution control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1312-1331, April.
    19. Wirl, Franz, 2007. "Do multiple Nash equilibria in Markov strategies mitigate the tragedy of the commons?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(11), pages 3723-3740, November.
    20. Rubio, Santiago J. & Casino, Begona, 2002. "A note on cooperative versus non-cooperative strategies in international pollution control," Resource and Energy Economics, Elsevier, vol. 24(3), pages 251-261, June.
    21. Stern, Nicholas, 2015. "Why Are We Waiting? The Logic, Urgency, and Promise of Tackling Climate Change," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262029189.
    22. Peter M. Cox & Richard A. Betts & Chris D. Jones & Steven A. Spall & Ian J. Totterdell, 2000. "Acceleration of global warming due to carbon-cycle feedbacks in a coupled climate model," Nature, Nature, vol. 408(6809), pages 184-187, November.
    23. Fünfgelt, Joachim & Schulze, Günther G., 2016. "Endogenous environmental policy for small open economies with transboundary pollution," Economic Modelling, Elsevier, vol. 57(C), pages 294-310.
    24. Fouad Ouardighi & Hassan Benchekroun & Dieter Grass, 2014. "Controlling pollution and environmental absorption capacity," Annals of Operations Research, Springer, vol. 220(1), pages 111-133, September.
    25. Benchekroun, Hassan & Ray Chaudhuri, Amrita, 2014. "Transboundary pollution and clean technologies," Resource and Energy Economics, Elsevier, vol. 36(2), pages 601-619.
    26. 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.
    27. Dawid, Herbert & Keoula, Michel Y. & Kopel, Michael & Kort, Peter M., 2015. "Product innovation incentives by an incumbent firm: A dynamic analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 117(C), pages 411-438.
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    2. Hao Xu & Ming Luo, 2022. "Optimal Environmental Policy in a Dynamic Transboundary Pollution Game: Emission Standards, Taxes, and Permit Trading," Sustainability, MDPI, vol. 14(15), pages 1-25, July.

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