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Dynamics of Global Emission Permit Prices and Regional Social Cost of Carbon under Noncooperation

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  • Yongyang Cai
  • Khyati Malik
  • Hyeseon Shin

Abstract

We develop a dynamic multi-region climate-economy model with emissions trading and solve for the dynamic Nash equilibrium under noncooperation, where each region follows Paris Agreement-based emissions caps. The permit price reaches $923 per ton of carbon by 2050, and global temperature rises to 1.7 degrees Celsius above pre-industrial levels by 2100. The regional social cost of carbon equals the difference between regional marginal abatement cost and the permit price, highlighting complementarity between carbon taxes and trading. We find substantial heterogeneity in regional social costs of carbon, show that lax caps can raise emissions, and demonstrate strong free-rider incentives under partial participation.

Suggested Citation

  • Yongyang Cai & Khyati Malik & Hyeseon Shin, 2023. "Dynamics of Global Emission Permit Prices and Regional Social Cost of Carbon under Noncooperation," Papers 2312.15563, arXiv.org, revised Jan 2026.
  • Handle: RePEc:arx:papers:2312.15563
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    References listed on IDEAS

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    1. Yongyang Cai & Thomas S. Lontzek, 2019. "The Social Cost of Carbon with Economic and Climate Risks," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2684-2734.
    2. Lawrence H. Goulder & Andrew R. Schein, 2013. "Carbon Taxes Versus Cap And Trade: A Critical Review," Climate Change Economics (CCE), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 1-28.
    3. Doda, Baran & Quemin, Simon & Taschini, Luca, 2019. "Linking permit markets multilaterally," Journal of Environmental Economics and Management, Elsevier, vol. 98(C).
    4. Nordhaus, William D & Yang, Zili, 1996. "A Regional Dynamic General-Equilibrium Model of Alternative Climate-Change Strategies," American Economic Review, American Economic Association, vol. 86(4), pages 741-765, September.
    5. Hitzemann, Steffen & Uhrig-Homburg, Marliese, 2018. "Equilibrium Price Dynamics of Emission Permits," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 53(4), pages 1653-1678, August.
    6. Michael Barnett & William Brock & Lars Peter Hansen & Harrison Hong, 2020. "Pricing Uncertainty Induced by Climate Change," The Review of Financial Studies, Society for Financial Studies, vol. 33(3), pages 1024-1066.
    7. Fischer, Carolyn & Springborn, Michael, 2011. "Emissions targets and the real business cycle: Intensity targets versus caps or taxes," Journal of Environmental Economics and Management, Elsevier, vol. 62(3), pages 352-366.
    8. Marshall Burke & W. Matthew Alampay Davis & Noah S. Diffenbaugh, 2018. "Large potential reduction in economic damages under UN mitigation targets," Nature, Nature, vol. 557(7706), pages 549-553, May.
    9. Goulder, Lawrence H. & Hafstead, Marc A.C. & Dworsky, Michael, 2010. "Impacts of alternative emissions allowance allocation methods under a federal cap-and-trade program," Journal of Environmental Economics and Management, Elsevier, vol. 60(3), pages 161-181, November.
    10. Meredith Fowlie & Mar Reguant & Stephen P. Ryan, 2016. "Market-Based Emissions Regulation and Industry Dynamics," Journal of Political Economy, University of Chicago Press, vol. 124(1), pages 249-302.
    11. Simon Dietz & Frederick van der Ploeg & Armon Rezai & Frank Venmans, 2021. "Are Economists Getting Climate Dynamics Right and Does It Matter?," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 8(5), pages 895-921.
    12. Holtsmark, Katinka & Midttømme, Kristoffer, 2021. "The dynamics of linking permit markets," Journal of Public Economics, Elsevier, vol. 198(C).
    13. Linus Mattauch & H. Damon Matthews & Richard Millar & Armon Rezai & Susan Solomon & Frank Venmans, 2020. "Steering the Climate System: Using Inertia to Lower the Cost of Policy: Comment," American Economic Review, American Economic Association, vol. 110(4), pages 1231-1237, April.
    14. Yongyang Cai & William Brock & Anastasios Xepapadeas, 2023. "Climate Change Impact on Economic Growth: Regional Climate Policy under Cooperation and Noncooperation," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 10(3), pages 569-605.
    15. Richard Schmalensee & Robert N. Stavins, 2025. "Lessons Learned from Three Decades of Experience with Cap and Trade," World Scientific Book Chapters, in: Economics of Environment, Climate Change, and Wine Selected Papers of Robert N Stavins Volume 3 (2011–2023), chapter 9, pages 235-264, World Scientific Publishing Co. Pte. Ltd..
    16. Dietz, Simon & Venmans, Frank, 2019. "Cumulative carbon emissions and economic policy: In search of general principles," Journal of Environmental Economics and Management, Elsevier, vol. 96(C), pages 108-129.
    17. Kahn, Matthew E. & Mohaddes, Kamiar & Ng, Ryan N.C. & Pesaran, M. Hashem & Raissi, Mehdi & Yang, Jui-Chung, 2021. "Long-term macroeconomic effects of climate change: A cross-country analysis," Energy Economics, Elsevier, vol. 104(C).
    18. Severin Borenstein & James Bushnell & Frank A. Wolak & Matthew Zaragoza-Watkins, 2019. "Expecting the Unexpected: Emissions Uncertainty and Environmental Market Design," American Economic Review, American Economic Association, vol. 109(11), pages 3953-3977, November.
    19. Hambel, Christoph & Kraft, Holger & Schwartz, Eduardo, 2021. "The social cost of carbon in a non-cooperative world," Journal of International Economics, Elsevier, vol. 131(C).
    20. Katharine Ricke & Laurent Drouet & Ken Caldeira & Massimo Tavoni, 2019. "Author Correction: Country-level social cost of carbon," Nature Climate Change, Nature, vol. 9(7), pages 567-567, July.
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