IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v34y2010i12p2494-2509.html
   My bibliography  Save this article

Dynamic nonpoint-source pollution control policy: Ambient transfers and uncertainty

Author

Listed:
  • Athanassoglou, Stergios

Abstract

When a regulator cannot observe or infer individual emissions, corrective policy must rely on ambient pollution data. Assuming this kind of environment, we study a class of differential games of pollution control with profit functions that are polynomial in the global pollution stock. Given an open-loop emissions strategy satisfying mild regularity conditions, an ambient transfer scheme is exhibited that induces it in Markov-perfect equilibrium (MPE). Proposed transfers are a polynomial function of the difference between actual and desired pollution levels; moreover, they are designed so that in MPE no tax or subsidy is ever levied. Their applicability under stochastic pollution dynamics is studied for a symmetric game of polluting oligopolists with linear demand. We discuss a quadratic scheme that induces agents to adopt Markovian emission strategies that are stationary and linearly decreasing in total pollution. Total expected ambient transfers are non-positive and their magnitude is linearly increasing in physical volatility, the size of the economy, and the absolute value of the slope of the inverse demand function. However, if the regulator is interested in inducing a constant emissions strategy then, in expectation, transfers vanish. The total expected ambient transfer is compared to its point-source equivalent.

Suggested Citation

  • Athanassoglou, Stergios, 2010. "Dynamic nonpoint-source pollution control policy: Ambient transfers and uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2494-2509, December.
  • Handle: RePEc:eee:dyncon:v:34:y:2010:i:12:p:2494-2509
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(10)00164-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Spraggon, John, 2002. "Exogenous targeting instruments as a solution to group moral hazards," Journal of Public Economics, Elsevier, vol. 84(3), pages 427-456, June.
    2. 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.
    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. Ken-Ichi Akao, 2008. "Tax schemes in a class of differential games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(1), pages 155-174, April.
    5. Larry Karp, 2005. "Nonpoint Source Pollution Taxes and Excessive Tax Burden," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 31(2), pages 229-251, June.
    6. Robert C. Merton, 1975. "An Asymptotic Theory of Growth Under Uncertainty," Review of Economic Studies, Oxford University Press, vol. 42(3), pages 375-393.
    7. Tsutsui, Shunichi & Mino, Kazuo, 1990. "Nonlinear strategies in dynamic duopolistic competition with sticky prices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 136-161, October.
    8. François Cochard & Marc Willinger & Anastasios Xepapadeas, 2005. "Efficiency of Nonpoint Source Pollution Instruments: An Experimental Study," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 30(4), pages 393-422, April.
    9. Karp Larry & Livernois John, 1994. "Using Automatic Tax Changes to Control Pollution Emissions," Journal of Environmental Economics and Management, Elsevier, vol. 27(1), pages 38-48, July.
    10. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    11. Dockner, Engelbert J. & Van Long, Ngo & Sorger, Gerhard, 1996. "Analysis of Nash equilibria in a class of capital accumulation games," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1209-1235.
    12. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    13. Gerhard Sorger, 2005. "A dynamic common property resource problem with amenity value and extraction costs," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(1), pages 3-19, March.
    14. Wang, Wen-Kai & Ewald, Christian-Oliver, 2010. "A stochastic differential Fishery game for a two species fish population with ecological interaction," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 844-857, May.
    15. 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.
    16. Segerson, Kathleen, 1988. "Uncertainty and incentives for nonpoint pollution control," Journal of Environmental Economics and Management, Elsevier, vol. 15(1), pages 87-98, March.
    17. Xepapadeas, A. P., 1992. "Environmental policy design and dynamic nonpoint-source pollution," Journal of Environmental Economics and Management, Elsevier, vol. 23(1), pages 22-39, July.
    18. 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.
    19. 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.
    20. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tsur, Yacov & de Gorter, Harry, 2012. "Dynamic regulation of nonpoint source pollution when the number of emitters is large," Discussion Papers 122124, Hebrew University of Jerusalem, Department of Agricultural Economics and Management.
    2. La Nauze, Andrea & Mezzetti, Claudio, 2019. "Dynamic incentive regulation of diffuse pollution," Journal of Environmental Economics and Management, Elsevier, vol. 93(C), pages 101-124.
    3. Stergios Athanassoglou & Glenn Sheriff & Tobias Siegfried & Woonghee Huh, 2012. "Optimal Mechanisms for Heterogeneous Multi-Cell Aquifers," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 52(2), pages 265-291, June.
    4. Ewald, Christian-Oliver & Wang, Wen-Kai, 2011. "Analytic solutions for infinite horizon stochastic optimal control problems via finite horizon approximation: A practical guide," Mathematical Social Sciences, Elsevier, vol. 61(3), pages 146-151, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anastasios Xepapadeas, 2011. "The Economics of Non-Point-Source Pollution," Annual Review of Resource Economics, Annual Reviews, vol. 3(1), pages 355-373, October.
    2. Javier Frutos & Guiomar Martín-Herrán, 2018. "Selection of a Markov Perfect Nash Equilibrium in a Class of Differential Games," Dynamic Games and Applications, Springer, vol. 8(3), pages 620-636, September.
    3. 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.
    4. 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.
    5. George E. Halkos & George J. Papageorgiou, 2012. "Pollution Control Policy: A Dynamic Taxation Scheme," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 6(1), pages 14-37, March.
    6. Tsur, Yacov & de Gorter, Harry, 2012. "Dynamic regulation of nonpoint source pollution when the number of emitters is large," Discussion Papers 122124, Hebrew University of Jerusalem, Department of Agricultural Economics and Management.
    7. Akihiko Yanase, 2009. "Global environment and dynamic games of environmental policy in an international duopoly," Journal of Economics, Springer, vol. 97(2), pages 121-140, June.
    8. 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.
    9. Stergios Athanassoglou & Glenn Sheriff & Tobias Siegfried & Woonghee Huh, 2012. "Optimal Mechanisms for Heterogeneous Multi-Cell Aquifers," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 52(2), pages 265-291, June.
    10. Colson, Gregory & Menapace, Luisa, 2012. "Multiple receptor ambient monitoring and firm compliance with environmental taxes under budget and target driven regulatory missions," Journal of Environmental Economics and Management, Elsevier, vol. 64(3), pages 390-401.
    11. Larry Karp, 2005. "Nonpoint Source Pollution Taxes and Excessive Tax Burden," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 31(2), pages 229-251, June.
    12. Calvo, Emilio & Rubio, Santiago J., 2013. "Dynamic Models of International Environmental Agreements: A Differential Game Approach," International Review of Environmental and Resource Economics, now publishers, vol. 6(4), pages 289-339, April.
    13. Bård Harstad, 2016. "The Dynamics Of Climate Agreements," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 719-752, June.
    14. Halkos, George, 2009. "A Differential game approach in the case of a polluting oligopoly," MPRA Paper 23742, University Library of Munich, Germany.
    15. Wirl, Franz, 2010. "Dynamic demand and noncompetitive intertemporal output adjustments," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 220-229, May.
    16. Zaruhi Hakobyan & Christos Koulovatianos, 2021. "Symmetric Markovian Games of Commons with Potentially Sustainable Endogenous Growth," Dynamic Games and Applications, Springer, vol. 11(1), pages 54-83, March.
    17. Spraggon, John M., 2007. "Exogenous Targeting Instruments under Differing Information Conditions," Working Paper Series 7383, University of Massachusetts, Amherst, Department of Resource Economics.
    18. Fouad El Ouardighi & Konstantin Kogan & Giorgio Gnecco & Marcello Sanguineti, 2018. "Commitment-Based Equilibrium Environmental Strategies Under Time-Dependent Absorption Efficiency," Group Decision and Negotiation, Springer, vol. 27(2), pages 235-249, April.
    19. Suter, Jordan F. & Vossler, Christian A. & Poe, Gregory L., 2009. "Ambient-based pollution mechanisms: A comparison of homogeneous and heterogeneous groups of emitters," Ecological Economics, Elsevier, vol. 68(6), pages 1883-1892, April.
    20. Suter, Jordan F. & Vossler, Christian A. & Poe, Gregory L. & Schulze, William D. & Segerson, Kathleen, 2006. "An Experimental Exploration of a Voluntary Mechanism to Reduce Nonpoint Source Water Pollution with a Background Threat of Regulation," 2006 Annual meeting, July 23-26, Long Beach, CA 21416, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:34:y:2010:i:12:p:2494-2509. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.