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The stochastic lake game: A numerical solution

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  • Dechert, W.D.
  • O'Donnell, S.I.

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  • 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.
    • Handle: RePEc:eee:dyncon:v:30:y:2006:i:9-10:p:1569-1587
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    1. 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.
    2. W. Davis Dechert & Kazuo Nishimura, 2012. "A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257, Springer.
    3. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    4. 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.
    5. Dechert, Dee, 1978. "Optimal control problems from second-order difference equations," Journal of Economic Theory, Elsevier, vol. 19(1), pages 50-63, October.
    6. John Rust, 1997. "Using Randomization to Break the Curse of Dimensionality," Econometrica, Econometric Society, vol. 65(3), pages 487-516, May.
    7. Ludwig,D. & Carpenter,S. & Brock,W., 2002. "Optimal phosphorus loading for a potentially eutrophic lake," Working papers 9, Wisconsin Madison - Social Systems.
    8. 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.
    9. Keller, Klaus & Bolker, Benjamin M. & Bradford, D.F.David F., 2004. "Uncertain climate thresholds and optimal economic growth," Journal of Environmental Economics and Management, Elsevier, vol. 48(1), pages 723-741, July.
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    Cited by:

    1. 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.
    2. 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.
    3. Dmitry Gromov & Thorsten Upmann, 2021. "Dynamics and Economics of Shallow Lakes: A Survey," Sustainability, MDPI, vol. 13(24), pages 1-16, December.
    4. Tiho Ancev & Karunagaran Madhavan, 2023. "Size matters: Optimal management of dynamic systems with varying size," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 67(1), pages 137-153, January.
    5. Casas, Omar J. & Romera, Rosario, 2011. "The international stock pollutant control: a stochastic formulation with transfers," DES - Working Papers. Statistics and Econometrics. WS ws112217, Universidad Carlos III de Madrid. Departamento de Estadística.
    6. Casas, Omar J. & Romera, Rosario, 2009. "The international stock pollutant control: a stochastic formulation," DES - Working Papers. Statistics and Econometrics. WS ws090804, Universidad Carlos III de Madrid. Departamento de Estadística.
    7. Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 60-73, April.
    8. Aart Zeeuw & Chuan-Zhong Li, 2016. "The Economics of Tipping Points," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(3), pages 513-517, November.
    9. 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.
    10. Casas, Omar J. & Romera, Rosario, 2009. "Controlling the international stock pollutant with policies depending on target values," DES - Working Papers. Statistics and Econometrics. WS ws096019, Universidad Carlos III de Madrid. Departamento de Estadística.
    11. Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 60-73.
    12. I. Zeiler & J.P. Caulkins & G. Tragler, 2011. "Optimal Control of Interacting Systems with DNSS Property: The Case of Illicit Drug Use," Post-Print hal-00978258, HAL.
    13. Suzuki, Yukari & Iwasa, Yoh, 2009. "Conflict between groups of players in coupled socio-economic and ecological dynamics," Ecological Economics, Elsevier, vol. 68(4), pages 1106-1115, February.
    14. Ram Ranjan & James Shortle, 2017. "Protecting and Restoring Aquatic Ecosystems in Multiple Stressor Environments," Water Economics and Policy (WEP), World Scientific Publishing Co. Pte. Ltd., vol. 3(02), pages 1-28, April.
    15. 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.
    16. David González-Sánchez & Onésimo Hernández-Lerma, 2014. "Dynamic Potential Games: The Discrete-Time Stochastic Case," Dynamic Games and Applications, Springer, vol. 4(3), pages 309-328, September.
    17. Moghayer, S. & Wagener, F.O.O., 2009. "Genesis of indifference thresholds and infinitely many indifference points in discrete time infinite horizon optimisation problems," CeNDEF Working Papers 09-14, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    18. Rosser Jr., J. Barkley, 2007. "The rise and fall of catastrophe theory applications in economics: Was the baby thrown out with the bathwater?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3255-3280, October.
    19. 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.
    20. Herbert Dawid & Michel Y. Keoula & Peter M. Kort, 2017. "Numerical Analysis of Markov-Perfect Equilibria with Multiple Stable Steady States: A Duopoly Application with Innovative Firms," Dynamic Games and Applications, Springer, vol. 7(4), pages 555-577, December.
    21. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, April.
    22. Wang, Zhiyu, 2018. "Permit trading with flow pollution and stock pollution," Journal of Environmental Economics and Management, Elsevier, vol. 91(C), pages 118-132.
    23. W. Davis Dechert & Sharon I. O'Donnell & William A. Brock, 2006. "Learning Parameters in Non Linear Ecological Models," Computing in Economics and Finance 2006 258, Society for Computational Economics.
    24. 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.
    25. James Shortle & Richard D. Horan, 2017. "Nutrient Pollution: A Wicked Challenge for Economic Instruments," Water Economics and Policy (WEP), World Scientific Publishing Co. Pte. Ltd., vol. 3(02), pages 1-39, April.

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