IDEAS home Printed from https://ideas.repec.org/p/kyo/wpaper/745.html
   My bibliography  Save this paper

Optimal taxation and constrained inefficiency in an infinite-horizon economy with incomplete markets

Author

Listed:
  • Piero Gottardi

    (European University Institute)

  • Atsushi Kajii

    (Institute of Economic Research, Kyoto University)

  • Tomoyuki Nakajima

    (Institute of Economic Research, Kyoto University)

Abstract

How should capital and labor be taxed when individuals' labor income is subject to unin- surable idiosyncratic risks? To address this question, we develop a tractable infinite horizon model with incomplete markets and consider a dynamic optimal taxation problem with linear taxes on the wage and interest income. We derive two general principles for public policy in such an environment: (i) providing an insurance for the idiosyncratic income risks; and (ii) allocating tax burdens efficiently over time. The first principle calls for taxing the labor income. The second principle clarifies when accumulating government debt is welfare improving, and also when the tax rate on physical capital needs to be strictly positive in the long run. We also calibrate our model to the U.S. economy and find that the presence of idiosyncratic income risks significantly affects the optimal tax rates and the optimal amount of the government debt.

Suggested Citation

  • Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2010. "Optimal taxation and constrained inefficiency in an infinite-horizon economy with incomplete markets," KIER Working Papers 745, Kyoto University, Institute of Economic Research.
  • Handle: RePEc:kyo:wpaper:745
    as

    Download full text from publisher

    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP745.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Marcet, Albert & Obiols-Homs, Francesc & Weil, Philippe, 2007. "Incomplete markets, labor supply and capital accumulation," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2621-2635, November.
    2. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
    3. Julio Dávila & Jay H. Hong & Per Krusell & José‐Víctor Ríos‐Rull, 2012. "Constrained Efficiency in the Neoclassical Growth Model With Uninsurable Idiosyncratic Shocks," Econometrica, Econometric Society, vol. 80(6), pages 2431-2467, November.
    4. Narayana R. Kocherlakota, 2005. "Zero Expected Wealth Taxes: A Mirrlees Approach to Dynamic Optimal Taxation," Econometrica, Econometric Society, vol. 73(5), pages 1587-1621, September.
    5. repec:hal:wpspec:info:hdl:2441/8623 is not listed on IDEAS
    6. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2016. "Constrained Inefficiency and Optimal Taxation with Uninsurable Risks," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(1), pages 1-28, February.
    7. Atsushi Kajii & Antonio Villanacci & Alessandro Citanna, 1998. "Constrained suboptimality in incomplete markets: a general approach and two applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 495-521.
    8. Bassetto, Marco & Kocherlakota, Narayana, 2004. "On the irrelevance of government debt when taxes are distortionary," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 299-304, March.
    9. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    10. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, December.
    11. John Geanakoplos & Heracles M. Polemarchakis, 1985. "Existence, Regularity, and Constrained Suboptimality of Competitive Allocations When the Asset Market Is Incomplete," Cowles Foundation Discussion Papers 764, Cowles Foundation for Research in Economics, Yale University.
    12. Ábrahám, Árpád & Cárceles-Poveda, Eva, 2010. "Endogenous trading constraints with incomplete asset markets," Journal of Economic Theory, Elsevier, vol. 145(3), pages 974-1004, May.
    13. Zhu, Xiaodong, 1992. "Optimal fiscal policy in a stochastic growth model," Journal of Economic Theory, Elsevier, vol. 58(2), pages 250-289, December.
    14. 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.
    15. repec:hal:spmain:info:hdl:2441/8623 is not listed on IDEAS
    16. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-286, April.
    17. Tom Krebs, 2003. "Human Capital Risk and Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(2), pages 709-744.
    18. Jones, Larry E. & Manuelli, Rodolfo E. & Rossi, Peter E., 1997. "On the Optimal Taxation of Capital Income," Journal of Economic Theory, Elsevier, vol. 73(1), pages 93-117, March.
    19. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    20. Larry E. Jones & Rodolfo Manuelli, 1990. "A Convex Model of Equilibrium Growth," NBER Working Papers 3241, National Bureau of Economic Research, Inc.
    21. George-Marios Angeletos, 2007. "Uninsured Idiosyncratic Investment Risk and Aggregate Saving," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(1), pages 1-30, January.
    22. Kenichi Fukushima, 2010. "Quantifying the Welfare Gains From Flexible Dynamic Income Tax Systems," 2010 Meeting Papers 410, Society for Economic Dynamics.
    23. Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-1038, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2015. "Optimal Taxation and Debt with Uninsurable Risks to Human Capital Accumulation," American Economic Review, American Economic Association, vol. 105(11), pages 3443-3470, November.
    2. Boháček, Radim & Kejak, Michal, 2018. "Optimal government policies in models with heterogeneous agents," Journal of Economic Theory, Elsevier, vol. 176(C), pages 834-858.
    3. Galo Nuño & Carlos Thomas, 2020. "Optimal Monetary Policy with Heterogeneous Agents," CESifo Working Paper Series 8670, CESifo.
    4. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2016. "Constrained Inefficiency and Optimal Taxation with Uninsurable Risks," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(1), pages 1-28, February.
    5. Omer Acikgoz, 2014. "Transitional Dynamics and Long-Run Optimal Taxation under Incomplete Markets," 2014 Meeting Papers 990, Society for Economic Dynamics.
    6. Acikgoz, Omer, 2013. "Transitional Dynamics and Long-run Optimal Taxation Under Incomplete Markets," MPRA Paper 50160, University Library of Munich, Germany.
    7. Acikgoz, Omer, 2015. "Transitional Dynamics and Long-run Optimal Taxation Under Incomplete Markets," MPRA Paper 73380, University Library of Munich, Germany.
    8. Alexis Akira Toda, 2015. "Asset Prices and Efficiency in a Krebs Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(4), pages 957-978, October.
    9. Galo Nuño & Carlos Thomas, 2016. "Optimal monetary policy with heterogeneous agents (Updated September 2019)," Working Papers 1624, Banco de España, revised Sep 2019.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2015. "Optimal Taxation and Debt with Uninsurable Risks to Human Capital Accumulation," American Economic Review, American Economic Association, vol. 105(11), pages 3443-3470, November.
    2. Krueger, Dirk & Ludwig, Alexander & Villalvazo, Sergio, 2021. "Optimal taxes on capital in the OLG model with uninsurable idiosyncratic income risk," Journal of Public Economics, Elsevier, vol. 201(C).
    3. repec:hal:spmain:info:hdl:2441/6bl2553ksc9vlq1fltjs9h1cht is not listed on IDEAS
    4. François Le Grand & Xavier Ragot, 2017. "Optimal Fiscal Policy with Heterogeneous Agents and Aggregate Shocks," Sciences Po Economics Discussion Papers 2017-03, Sciences Po Departement of Economics.
    5. repec:hal:wpspec:info:hdl:2441/6bl2553ksc9vlq1fltjs9h1cht is not listed on IDEAS
    6. Clemens, Christiane & Soretz, Susanne, 1997. "Welfare Effects of Income Taxation in a Model of Stochastic Growth," Hannover Economic Papers (HEP) dp-210, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    7. Alexis Akira Toda, 2015. "Asset Prices and Efficiency in a Krebs Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(4), pages 957-978, October.
    8. Piero Gottardi & Atsushi Kajii & Tomoyuki Nakajima, 2016. "Constrained Inefficiency and Optimal Taxation with Uninsurable Risks," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(1), pages 1-28, February.
    9. Markus K. Brunnermeier & Thomas M. Eisenbach & Yuliy Sannikov, 2012. "Macroeconomics with Financial Frictions: A Survey," Levine's Working Paper Archive 786969000000000384, David K. Levine.
    10. Acemoglu, Daron & Golosov, Mikhail & Tsyvinski, Aleh, 2011. "Political economy of Ramsey taxation," Journal of Public Economics, Elsevier, vol. 95(7-8), pages 467-475, August.
    11. Minea, Alexandru, 2008. "The Role of Public Spending in the Growth Theory Evolution," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 5(2), pages 99-120, June.
    12. Ozan Bakis & Baris Kaymak & Markus Poschke, 2015. "Transitional Dynamics and the Optimal Progressivity of Income Redistribution," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(3), pages 679-693, July.
    13. Sebastian Dyrda & Marcelo Pedroni, 2015. "Optimal Fiscal Policy in a Model with Uninsurable Idiosyncratic Shocks," Working Papers tecipa-550, University of Toronto, Department of Economics.
    14. Anagnostopoulos, Alexis & Cárceles-Poveda, Eva & Lin, Danmo, 2012. "Dividend and capital gains taxation under incomplete markets," Journal of Monetary Economics, Elsevier, vol. 59(7), pages 599-611.
    15. Stefania Albanesi & Roc Armenter, 2012. "Intertemporal Distortions in the Second Best," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(4), pages 1271-1307.
    16. Günther Rehme, 2023. "Capital depreciation allowances, redistributive taxation, and economic growth," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(1), pages 168-195, February.
    17. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2005. "Incomplete-market dynamics in a neoclassical production economy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 407-438, August.
    18. Markus Poschke & Baris Kaymak & Ozan Bakis, 2012. "On the Optimality of Progressive Income Redistribution," 2012 Meeting Papers 837, Society for Economic Dynamics.
    19. Boháček, Radim & Kejak, Michal, 2018. "Optimal government policies in models with heterogeneous agents," Journal of Economic Theory, Elsevier, vol. 176(C), pages 834-858.
    20. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, December.
    21. Yili Chien & Junsang Lee, 2006. "Why Tax Capital?," 2006 Meeting Papers 492, Society for Economic Dynamics.
    22. Chari, V.V. & Nicolini, Juan Pablo & Teles, Pedro, 2020. "Optimal capital taxation revisited," Journal of Monetary Economics, Elsevier, vol. 116(C), pages 147-165.

    More about this item

    Keywords

    incomplete markets; constrained inefficiency; optimal taxation; Ramsey equilibrium.;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D60 - Microeconomics - - Welfare Economics - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kyo:wpaper:745. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Makoto Watanabe (email available below). General contact details of provider: https://edirc.repec.org/data/iekyojp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.