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Robust Dynamic Optimal Taxation and Environmental Externalities

Author

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  • Ted Temzelides

    (Rice University)

  • Borghan Narajabad

    (Federal Reserve)

Abstract

We study a dynamic stochastic general equilibrium model where agents are concerned about model uncertainty regarding climate change. An externality from greenhouse gas emissions adversely affects the economys capital stock. We assume that the mapping from climate change to damages is subject to uncertainty, and we adapt and use techniques from robust control theory in order to study efficiency and optimal policy. We obtain a sharp analytical solution for the implied environmental externality, and we characterize dynamic optimal taxation. A small increase in the concern about model uncertainty can cause a significant drop in optimal energy extraction. The optimal tax which restores the social optimal allocation is Pigouvian. Under more general assumptions, we develop a recursive method and solve the model computationally. We find that the introduction of uncertainty matters qualitatively and quantitatively. We study optimal output growth in the presence and in the absence of concerns about uncertainty and find that these can lead to substantially dfferent conclusions.

Suggested Citation

  • Ted Temzelides & Borghan Narajabad, 2014. "Robust Dynamic Optimal Taxation and Environmental Externalities," 2014 Meeting Papers 59, Society for Economic Dynamics.
  • Handle: RePEc:red:sed014:59
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    References listed on IDEAS

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    1. Kolstad, Charles D., 1996. "Learning and Stock Effects in Environmental Regulation: The Case of Greenhouse Gas Emissions," Journal of Environmental Economics and Management, Elsevier, vol. 31(1), pages 1-18, July.
    2. Michael Funke & Michael Paetz, 2011. "Environmental policy under model uncertainty: a robust optimal control approach," Climatic Change, Springer, vol. 107(3), pages 225-239, August.
    3. Daron Acemoglu & Philippe Aghion & Leonardo Bursztyn & David Hemous, 2012. "The Environment and Directed Technical Change," American Economic Review, American Economic Association, vol. 102(1), pages 131-166, February.
    4. Hennlock, Magnus, 2009. "Robust Control in Global Warming Management: An Analytical Dynamic Integrated Assessment," RFF Working Paper Series dp-09-19, Resources for the Future.
    5. Lemoine, Derek M. & Traeger, Christian P., 2010. "Tipping Points and Ambiguity in the Economics of Climate Change," CUDARE Working Papers 98127, University of California, Berkeley, Department of Agricultural and Resource Economics.
    6. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
    7. Timothy Cogley & Riccardo Colacito & Lars Peter Hansen & Thomas J. Sargent, 2008. "Robustness and U.S. Monetary Policy Experimentation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(8), pages 1599-1623, December.
    8. Stern,Nicholas, 2007. "The Economics of Climate Change," Cambridge Books, Cambridge University Press, number 9780521700801, September.
    9. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Misspecification," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 6, pages 155-216, World Scientific Publishing Co. Pte. Ltd..
    10. Hansen, Lars Peter & Sargent, Thomas J. & Wang, Neng E., 2002. "Robust Permanent Income And Pricing With Filtering," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 40-84, February.
    11. Li-Lin Ku & Chien-Pai Han, 2008. "Robust testing procedures of process locations," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(5), pages 579-595, October.
    12. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
    13. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
    14. Hans, Erwin & Wullink, Gerhard & van Houdenhoven, Mark & Kazemier, Geert, 2008. "Robust surgery loading," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1038-1050, March.
    15. Hansen, Lars Peter & Sargent, Thomas J., 2010. "Wanting Robustness in Macroeconomics," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 20, pages 1097-1157, Elsevier.
    16. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Permanent Income and Pricing," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 3, pages 33-81, World Scientific Publishing Co. Pte. Ltd..
    17. Partha Dasgupta & Geoffrey Heal, 1974. "The Optimal Depletion of Exhaustible Resources," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 3-28.
    18. Thomas J. Sargent & Riccardo Colacito & Lars P. Hansen & Timothy Cogley, 2008. "Robustness and US Monetary," 2008 Meeting Papers 228, Society for Economic Dynamics.
    19. van der Ploeg, Frederick & Withagen, Cees, 2012. "Too much coal, too little oil," Journal of Public Economics, Elsevier, vol. 96(1), pages 62-77.
    20. Lars Peter Hansen & Thomas J. Sargent, 2008. "Time Inconsistency of Robust Control?," Chapters, in: Roger E.A. Farmer (ed.), Macroeconomics in the Small and the Large, chapter 7, Edward Elgar Publishing.
    21. Hennlock, Magnus, 2009. "Robust Control in Global Warming Management: An Analytical Dynamic Integrated Assessment," Working Papers in Economics 354, University of Gothenburg, Department of Economics.
    22. Nicholas Stern, 2013. "The Structure of Economic Modeling of the Potential Impacts of Climate Change: Grafting Gross Underestimation of Risk onto Already Narrow Science Models," Journal of Economic Literature, American Economic Association, vol. 51(3), pages 838-859, September.
    23. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    24. Martin L. Weitzman, 2014. "Fat Tails and the Social Cost of Carbon," American Economic Review, American Economic Association, vol. 104(5), pages 544-546, May.
    25. Hans-Werner Sinn, 2008. "Public policies against global warming: a supply side approach," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 15(4), pages 360-394, August.
    26. Hansen, Lars Peter & Sargent, Thomas J., 2003. "Robust control of forward-looking models," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 581-604, April.
    27. Bidder, R.M. & Smith, M.E., 2012. "Robust animal spirits," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 738-750.
    28. Hartley, Peter & Medlock, Kenneth B., III & Temzelides, Ted & Zhang, Xinya, 2014. "Energy Sector Innovation and Growth," Working Papers 14-009, Rice University, Department of Economics.
    29. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
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    Cited by:

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    2. Lemoine, Derek & Traeger, Christian P., 2016. "Ambiguous tipping points," Journal of Economic Behavior & Organization, Elsevier, vol. 132(PB), pages 5-18.
    3. Anderson, Evan W. & Brock, William & Sanstad, Alan H., 2016. "Robust Consumption and Energy Decisions," 2017 Allied Social Sciences Association (ASSA) Annual Meeting, January 6-8, 2017, Chicago, Illinois 250117, Agricultural and Applied Economics Association.
    4. Ngo Van Long, 2019. "Managing, Inducing, and Preventing Regime Shifts: A Review of the Literature," CESifo Working Paper Series 7749, CESifo.
    5. Rick Van der Ploeg & Armon Rezai, 2015. "Intergenerational Inequality Aversion, Growth and the Role of Damages: Occam's rule for the global tax," Economics Series Working Papers OxCarre Research Paper 15, University of Oxford, Department of Economics.
    6. Armon Rezai & Frederick Van der Ploeg, 2016. "Intergenerational Inequality Aversion, Growth, and the Role of Damages: Occam's Rule for the Global Carbon Tax," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 3(2), pages 493-522.

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    • N10 - Economic History - - Macroeconomics and Monetary Economics; Industrial Structure; Growth; Fluctuations - - - General, International, or Comparative

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