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Optimal policies with heterogeneous agents: Truncation and transitions

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  • Le Grand, François
  • Ragot, Xavier
Abstract
We compare two approaches in their ability to solve for optimal Ramsey policies in heterogeneous-agent models, considering the optimal provision of a public good. First, the “transition” approach makes the problem tractable by assuming a constant path for the planner's instruments. Second, the “truncation” approach uses a Lagrangian technique, solving the Ramsey problem of a finite state space model that approximates the full model. The truncation approach is shown to compute quantitatively accurate estimates of the actual values of the planner's instruments, whereas a time-inconsistency issue is found to affect the transition approach.

Suggested Citation

  • Le Grand, François & Ragot, Xavier, 2023. "Optimal policies with heterogeneous agents: Truncation and transitions," Journal of Economic Dynamics and Control, Elsevier, vol. 156(C).
  • Handle: RePEc:eee:dyncon:v:156:y:2023:i:c:s0165188923001434
    DOI: 10.1016/j.jedc.2023.104737
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    1. Den Haan, Wouter J., 2010. "Assessing the accuracy of the aggregate law of motion in models with heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 34(1), pages 79-99, January.
    2. François Le Grand & Xavier Ragot, 2022. "Managing Inequality Over Business Cycles: Optimal Policies With Heterogeneous Agents And Aggregate Shocks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(1), pages 511-540, February.
    3. Boppart, Timo & Krusell, Per & Mitman, Kurt, 2018. "Exploiting MIT shocks in heterogeneous-agent economies: the impulse response as a numerical derivative," Journal of Economic Dynamics and Control, Elsevier, vol. 89(C), pages 68-92.
    4. Sushant Acharya & Edouard Challe & Keshav Dogra, 2023. "Optimal Monetary Policy According to HANK," American Economic Review, American Economic Association, vol. 113(7), pages 1741-1782, July.
    5. Florin Bilbiie & Xavier Ragot, 2021. "Optimal Monetary Policy and Liquidity with Heterogeneous Households," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 71-95, July.
    6. Eduardo Dávila & Andreas Schaab, 2022. "Welfare Assessments with Heterogeneous Individuals," NBER Working Papers 30571, National Bureau of Economic Research, Inc.
    7. Bennett T. McCallum & Edward Nelson, 2004. "Timeless perspective vs. discretionary monetary policy in forward-looking models," Review, Federal Reserve Bank of St. Louis, vol. 86(Mar), pages 43-56.
    8. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
    9. Aiyagari, S. Rao & McGrattan, Ellen R., 1998. "The optimum quantity of debt," Journal of Monetary Economics, Elsevier, vol. 42(3), pages 447-469, October.
    10. Jonathan Heathcote & Hitoshi Tsujiyama, 2021. "Optimal Income Taxation: Mirrlees Meets Ramsey," Journal of Political Economy, University of Chicago Press, vol. 129(11), pages 3141-3184.
    11. Anmol Bhandari & David Evans & Mikhail Golosov & Thomas J. Sargent, 2021. "Inequality, Business Cycles, and Monetary‐Fiscal Policy," Econometrica, Econometric Society, vol. 89(6), pages 2559-2599, November.
    12. 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.
    13. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    14. Reiter, Michael, 2009. "Solving heterogeneous-agent models by projection and perturbation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 649-665, March.
    15. Galo Nuño & Carlos Thomas, 2022. "Optimal Redistributive Inflation," Annals of Economics and Statistics, GENES, issue 146, pages 3-63.
    16. Marco Bassetto, 2014. "Optimal fiscal policy with heterogeneous agents," Quantitative Economics, Econometric Society, vol. 5(3), pages 675-704, November.
    17. François Le Grand & Xavier Ragot, 2022. "Refining the Truncation Method to Solve Heterogeneous-Agent Models," Annals of Economics and Statistics, GENES, issue 146, pages 65-91.
    18. Edouard Challe, 2020. "Uninsured Unemployment Risk and Optimal Monetary Policy in a Zero-Liquidity Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 12(2), pages 241-283, April.
    19. Juan Carlos Conesa & Sagiri Kitao & Dirk Krueger, 2009. "Taxing Capital? Not a Bad Idea after All!," American Economic Review, American Economic Association, vol. 99(1), pages 25-48, March.
    20. Debortoli, Davide & Maih, Junior & Nunes, Ricardo, 2014. "Loose Commitment In Medium-Scale Macroeconomic Models: Theory And Applications," Macroeconomic Dynamics, Cambridge University Press, vol. 18(1), pages 175-198, January.
    21. Hitoshi Tsujiyama & Jonathan Heathcote, 2017. "Inverse Optimal Taxation in Closed Form," 2017 Meeting Papers 1274, Society for Economic Dynamics.
    22. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
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    More about this item

    Keywords

    Heterogeneous agents; Optimal Ramsey program; Transition approach; Truncation approach; Aggregate shock;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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