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A Dynamic Theory of Optimal Tariffs

Author

Listed:
  • Eduardo D‡vila

    (Yale University)

  • AndrŽs Rodr’guez-Clare

    (UC Berkeley)

  • Andreas Schaab

    (UC Berkeley)

  • Stacy Tan

    (Yale University)

Abstract

The classic tariff formula states that the optimal unilateral tariff equals the inverse of the foreign export supply elasticity. We generalize this result and show that an intertemporal tariff formula characterizes the efficient tariff in a large class of dynamic heterogeneous agent (HA) economies with multiple goods. Intertemporal export supply elasticities and relative tariff revenue weights are sufficient statistics for the optimal tariff that decentralizes the efficient allocation. We also develop a general theory of second-best optimal tariffs. In dynamic HA incomplete markets economies, Ramsey optimal tariffs trade off intertemporal terms of trade manipulation against production efficiency, risk-sharing, and redistribution. Intertemporal export supply elasticities and relative tariff revenue weights remain sufficient statistics for the intertemporal terms of trade manipulation motive of second-best optimal tariffs. We apply our results to a quantitative heterogeneous agent New Keynesian (HANK) model with trade.

Suggested Citation

  • Eduardo D‡vila & AndrŽs Rodr’guez-Clare & Andreas Schaab & Stacy Tan, 2025. "A Dynamic Theory of Optimal Tariffs," Cowles Foundation Discussion Papers 2444, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:2444
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    References listed on IDEAS

    as
    1. Adrien Auclert & Matthew Rognlie & Ludwig Straub, 2024. "The Intertemporal Keynesian Cross," Journal of Political Economy, University of Chicago Press, vol. 132(12), pages 4068-4121.
    2. Maurice Obstfeld & Kenneth Rogoff, 2001. "The Six Major Puzzles in International Macroeconomics: Is There a Common Cause?," NBER Chapters, in: NBER Macroeconomics Annual 2000, Volume 15, pages 339-412, National Bureau of Economic Research, Inc.
    3. Raj Chetty & Adam Guren & Day Manoli & Andrea Weber, 2011. "Are Micro and Macro Labor Supply Elasticities Consistent? A Review of Evidence on the Intensive and Extensive Margins," American Economic Review, American Economic Association, vol. 101(3), pages 471-475, May.
    4. Javier Bianchi & Louphou Coulibaly, 2025. "The Optimal Monetary Policy Response to Tariffs," NBER Working Papers 33560, National Bureau of Economic Research, Inc.
    5. Emmanuel Farhi & Iván Werning, 2016. "A Theory of Macroprudential Policies in the Presence of Nominal Rigidities," Econometrica, Econometric Society, vol. 84, pages 1645-1704, September.
    6. Arnaud Costinot & Dave Donaldson & Jonathan Vogel & Iván Werning, 2015. "Comparative Advantage and Optimal Trade Policy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 130(2), pages 659-702.
    7. Arnaud Costinot & Guido Lorenzoni & Iván Werning, 2014. "A Theory of Capital Controls as Dynamic Terms-of-Trade Manipulation," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 77-128.
    8. Erceg, Christopher J. & Henderson, Dale W. & Levin, Andrew T., 2000. "Optimal monetary policy with staggered wage and price contracts," Journal of Monetary Economics, Elsevier, vol. 46(2), pages 281-313, October.
    9. Adrien Auclert & Bence Bardóczy & Matthew Rognlie & Ludwig Straub, 2021. "Using the Sequence‐Space Jacobian to Solve and Estimate Heterogeneous‐Agent Models," Econometrica, Econometric Society, vol. 89(5), pages 2375-2408, September.
    10. Mark A. Aguiar & Manuel Amador & Doireann Fitzgerald, 2025. "Tariff Wars and Net Foreign Assets," NBER Working Papers 33743, National Bureau of Economic Research, Inc.
    11. Lorenzo Caliendo & Samuel S. Kortum & Fernando Parro, 2025. "Tariffs and Trade Deficits," NBER Working Papers 34003, National Bureau of Economic Research, Inc.
    12. Auray, Stéphane & Devereux, Michael B. & Eyquem, Aurélien, 2025. "Trade wars and the optimal design of monetary rules," Journal of Monetary Economics, Elsevier, vol. 151(C).
    13. Eduardo Dávila & Andreas Schaab, 2023. "Optimal Monetary Policy with Heterogeneous Agents: Discretion, Commitment, and Timeless Policy," NBER Working Papers 30961, National Bureau of Economic Research, Inc.
    14. Harry G. Johnson, 1953. "Optimum Tariffs and Retaliation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 21(2), pages 142-153.
    15. Arnaud Costinot & Iván Werning, 2023. "Robots, Trade, and Luddism: A Sufficient Statistic Approach to Optimal Technology Regulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(5), pages 2261-2291.
    16. Lashkaripour, Ahmad, 2021. "The cost of a global tariff war: A sufficient statistics approach," Journal of International Economics, Elsevier, vol. 131(C).
    17. Andrés Rodríguez-Clare & Mauricio Ulate & Jose P. Vasquez, 2025. "The 2025 Trade War: Dynamic Impacts Across U.S. States and the Global Economy," NBER Working Papers 33792, National Bureau of Economic Research, Inc.
    18. Anna Ignatenko & Ahmad Lashkaripour & Luca Macedoni & Ina Simonovska, 2025. "Making America Great Again? The Economic Impacts of Liberation Day Tariffs," NBER Working Papers 33771, National Bureau of Economic Research, Inc.
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    More about this item

    JEL classification:

    • F13 - International Economics - - Trade - - - Trade Policy; International Trade Organizations
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

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