IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v32y2008i4p1312-1331.html
   My bibliography  Save this article

Feedback Nash equilibria for non-linear differential games in pollution control

Author

Listed:
  • Kossioris, G.
  • Plexousakis, M.
  • Xepapadeas, A.
  • de Zeeuw, A.
  • Mäler, K.-G.

Abstract

Dynamic problems of pollution and resource management with stock externalities often require a differential games framework of analysis. In addition they are represented realistically by non-linear transition equations. However, feedback Nash equilibrium (FBNE) solutions, which are the desired ones in this case, are difficult to obtain in problems with non-linear-quadratic structure. We develop a method to obtain numerically non-linear FBNE for a class of such problems, with a specific example for shallow lake pollution control. We compare FBNE solutions, by considering the entire equilibrium trajectories, with optimal management and open-loop solutions, and we show that the value of the best FBNE is in general worse than the open-loop and optimal management solutions.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:dyncon:v:32:y:2008:i:4:p:1312-1331
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1889(07)00128-5
    Download Restriction: Full text for ScienceDirect subscribers only

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Wagener, F. O. O., 2003. "Skiba points and heteroclinic bifurcations, with applications to the shallow lake system," Journal of Economic Dynamics and Control, Elsevier, vol. 27(9), pages 1533-1561, July.
    6. W.A. Brock & D. Starrett, 2003. "Managing Systems with Non-convex Positive Feedback," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(4), pages 575-602, December.
    7. 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.
    8. 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.
    9. Hein, Lars, 2006. "Cost-efficient eutrophication control in a shallow lake ecosystem subject to two steady states," Ecological Economics, Elsevier, vol. 59(4), pages 429-439, 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. Anastasios Xepapadeas, 2010. "Modeling complex systems," Agricultural Economics, International Association of Agricultural Economists, vol. 41(s1), pages 181-191, November.
    2. Florian Wagener, 2013. "Shallow lake economics run deep: nonlinear aspects of an economic-ecological interest conflict," Computational Management Science, Springer, vol. 10(4), pages 423-450, December.
    3. Vasiliki Manousi & Anastasios Xepapadeas, "undated". "Mitigation and Solar Radiation Management in Climate Change Policies," DEOS Working Papers 1323, Athens University of Economics and Business.
    4. Salerno, Gillian & Beard, Rodney & McDonald, Stuart, 2007. "Rent Seeking Behavior and Optimal Taxation of Pollution in Shallow Lakes," MPRA Paper 11225, University Library of Munich, Germany, revised 22 Oct 2008.
    5. 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.
    6. Tatiana Kiseleva, 2016. "Heterogeneous Beliefs and Climate Catastrophes," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(3), pages 599-622, November.
    7. Craig A. Bond & John B. Loomis, 2009. "Using Numerical Dynamic Programming to Compare Passive and Active Learning in the Adaptive Management of Nutrients in Shallow Lakes," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 57(4), pages 555-573, December.
    8. 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.
    9. Wagener, F.O.O., 2013. "Economics of environmental regime shifts," CeNDEF Working Papers 13-08, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    10. Genc, Talat S. & De Giovanni, Pietro, 2018. "Optimal return and rebate mechanism in a closed-loop supply chain game," European Journal of Operational Research, Elsevier, vol. 269(2), pages 661-681.
    11. Talat S. Genc & Georges Zaccour, 2010. "Investment Dynamics: Good News Principle," Working Papers 1006, University of Guelph, Department of Economics and Finance.
    12. Kossioris, G. & Plexousakis, M. & Xepapadeas, A. & de Zeeuw, A., 2011. "On the optimal taxation of common-pool resources," Journal of Economic Dynamics and Control, Elsevier, vol. 35(11), pages 1868-1879.
    13. W. A. Brock & A. Xepapadeas, 2015. "Modeling Coupled Climate, Ecosystems, and Economic Systems," Working Papers 2015.66, Fondazione Eni Enrico Mattei.
    14. 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.
    15. Tavoni, Alessandro & Levin, Simon, 2014. "Managing the climate commons at the nexus of ecology, behaviour and economics," LSE Research Online Documents on Economics 60823, London School of Economics and Political Science, LSE Library.
    16. Anastasios Xepapadeas, 2011. "The Economics of Non-Point-Source Pollution," Annual Review of Resource Economics, Annual Reviews, vol. 3(1), pages 355-373, October.
    17. Pedro, de Mendonça, 2009. "Self-Enforcing Climate Change Treaties: A Generalized Differential Game Approach with Applications," MPRA Paper 17889, University Library of Munich, Germany.
    18. 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.
    19. Anne-Sophie Crépin & Therese Lindahl, 2009. "Grazing Games: Sharing Common Property Resources with Complex Dynamics," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 44(1), pages 29-46, September.
    20. Diekert, Florian K., 2017. "Threatening thresholds? The effect of disastrous regime shifts on the non-cooperative use of environmental goods and services," Journal of Public Economics, Elsevier, vol. 147(C), pages 30-49.
    21. repec:spr:grdene:v:27:y:2018:i:2:d:10.1007_s10726-017-9545-7 is not listed on IDEAS
    22. Heijnen, P. & Wagener, F.O.O., 2013. "Avoiding an ecological regime shift is sound economic policy," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1322-1341.

    More about this item

    Statistics

    Access and download statistics

    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:32:y:2008:i:4:p:1312-1331. See general information about how to correct material in RePEc.

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

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.