IDEAS home Printed from https://ideas.repec.org/p/usg/econwp/201434.html
   My bibliography  Save this paper

Human Capital and Optimal Redistribution

Author

Listed:
  • Koeniger, Winfried
  • Prat, Julien

Abstract

We characterize optimal redistribution in a dynastic economy with observable human capital and hidden ability. The government can use education to improve the insurance-incentive trade-off because there is a wedge between human capital investment in the laissez faire and the social optimum. This wedge differs from the wedge for bequests because: (i) returns to human capital are risky; (ii) human capital may change informational rents. We illustrate numerically that, if ability is i.i.d. across generations, human capital investment declines in parents' income in the social optimum, and show how this optimum can be implemented with student loans or means-tested grants.

Suggested Citation

  • Koeniger, Winfried & Prat, Julien, 2014. "Human Capital and Optimal Redistribution," Economics Working Paper Series 1434, University of St. Gallen, School of Economics and Political Science, revised May 2015.
  • Handle: RePEc:usg:econwp:2014:34
    as

    Download full text from publisher

    File URL: http://ux-tauri.unisg.ch/RePEc/usg/econwp/EWP-1434.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Douglas Holtz-Eakin & David Joulfaian & Harvey S. Rosen, 1993. "The Carnegie Conjecture: Some Empirical Evidence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(2), pages 413-435.
    2. De Nardi, Mariacristina & Yang, Fang, 2016. "Wealth inequality, family background, and estate taxation," Journal of Monetary Economics, Elsevier, vol. 77(C), pages 130-145.
    3. Emmanuel Farhi & Iván Werning, 2010. "Progressive Estate Taxation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(2), pages 635-673.
    4. Findeisen, Sebastian & Sachs, Dominik, 2011. "Education and Optimal Dynamic Taxation," IZA Discussion Papers 6056, Institute of Labor Economics (IZA).
    5. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    6. Brant Abbott & Giovanni Gallipoli & Costas Meghir & Giovanni L. Violante, 2013. "Education Policy�and Intergenerational Transfers in Equilibrium," Cowles Foundation Discussion Papers 1887R2, Cowles Foundation for Research in Economics, Yale University, revised May 2018.
    7. Mark Colas & Sebastian Findeisen & Dominik Sachs, 2021. "Optimal Need-Based Financial Aid," Journal of Political Economy, University of Chicago Press, vol. 129(2), pages 492-533.
    8. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2017. "Optimal Tax Progressivity: An Analytical Framework," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(4), pages 1693-1754.
    9. Brant Abbott & Giovanni Gallipoli & Costas Meghir & Giovanni L. Violante, 2019. "Education Policy and Intergenerational Transfers in Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2569-2624.
    10. Stefanie Stantcheva, 2015. "Optimal Income, Education, and Bequest Taxes in an Intergenerational Model," NBER Working Papers 21177, National Bureau of Economic Research, Inc.
    11. Andrew Atkeson & Robert E. Lucas, 1992. "On Efficient Distribution With Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(3), pages 427-453.
    12. Emmanuel Farhi & Iván Werning, 2007. "Inequality and Social Discounting," Journal of Political Economy, University of Chicago Press, vol. 115(3), pages 365-402.
    13. Black, Sandra E. & Devereux, Paul J. & Lundborg, Petter & Majlesi, Kaveh, 2015. "Poor Little Rich Kids? The Determinants of the Intergenerational Transmission of Wealth," IZA Discussion Papers 9227, Institute of Labor Economics (IZA).
    14. Eaton, Jonathan & Rosen, Harvey S, 1980. "Taxation, Human Capital, and Uncertainty," American Economic Review, American Economic Association, vol. 70(4), pages 705-715, September.
    15. Robert J. Gary-Bobo & Alain Trannoy, 2015. "Optimal student loans and graduate tax under moral hazard and adverse selection," RAND Journal of Economics, RAND Corporation, vol. 46(3), pages 546-576, September.
    16. Stefania Albanesi & Christopher Sleet, 2006. "Dynamic Optimal Taxation with Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 1-30.
    17. Raj Chetty, 2012. "Bounds on Elasticities With Optimization Frictions: A Synthesis of Micro and Macro Evidence on Labor Supply," Econometrica, Econometric Society, vol. 80(3), pages 969-1018, May.
    18. Marek Kapicka, 2006. "Optimal Income Taxation with Human Capital Accumulation and Limited Record Keeping," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(4), pages 612-639, October.
    19. Koehne, Sebastian & Kuhn, Moritz, 2015. "Optimal taxation in a habit formation economy," Journal of Public Economics, Elsevier, vol. 122(C), pages 31-39.
    20. Krueger, Dirk & Ludwig, Alexander, 2016. "On the optimal provision of social insurance: Progressive taxation versus education subsidies in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 77(C), pages 72-98.
    21. Hertz Tom & Jayasundera Tamara & Piraino Patrizio & Selcuk Sibel & Smith Nicole & Verashchagina Alina, 2008. "The Inheritance of Educational Inequality: International Comparisons and Fifty-Year Trends," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 7(2), pages 1-48, January.
    22. Dirk Krueger & Alexander Ludwig, 2013. "Optimal Progressive Labor Income Taxation and Education Subsidies When Education Decisions and Intergenerational Transfers Are Endogenous," American Economic Review, American Economic Association, vol. 103(3), pages 496-501, May.
    23. Raj Chetty & Nathaniel Hendren & Patrick Kline & Emmanuel Saez, 2014. "Where is the land of Opportunity? The Geography of Intergenerational Mobility in the United States," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1553-1623.
    24. William Peterman, 2016. "The effect of endogenous human capital accumulation on optimal taxation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 21, pages 46-71, July.
    25. Card, David, 1999. "The causal effect of education on earnings," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 30, pages 1801-1863, Elsevier.
    26. Alexander M. Gelber & Matthew C. Weinzierl, 2012. "Equalizing Outcomes and Equalizing Opportunities: Optimal Taxation when Children's Abilities Depend on Parents' Resources," NBER Working Papers 18332, National Bureau of Economic Research, Inc.
    27. Barro, Robert J. & Lee, Jong Wha, 2013. "A new data set of educational attainment in the world, 1950–2010," Journal of Development Economics, Elsevier, vol. 104(C), pages 184-198.
    28. Emmanuel Farhi, 2013. "Insurance and Taxation over the Life Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 596-635.
    29. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    30. Cunha, Flavio & Heckman, James J. & Lochner, Lance, 2006. "Interpreting the Evidence on Life Cycle Skill Formation," Handbook of the Economics of Education, in: Erik Hanushek & F. Welch (ed.), Handbook of the Economics of Education, edition 1, volume 1, chapter 12, pages 697-812, Elsevier.
    31. Alexander Gelber & Matthew Weinzierl, 2016. "Optimal Taxation When Children’s Abilities Depend on Parents’ Resources," National Tax Journal, National Tax Association;National Tax Journal, vol. 69(1), pages 11-40, March.
    32. Bas Jacobs & A. Bovenberg, 2010. "Human capital and optimal positive taxation of capital income," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 17(5), pages 451-478, October.
    33. Sandra E Black & Paul J Devereux & Petter Lundborg & Kaveh Majlesi, 2020. "Poor Little Rich Kids? The Role of Nature versus Nurture in Wealth and Other Economic Outcomes and Behaviours," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(4), pages 1683-1725.
    34. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2010. "The Macroeconomic Implications of Rising Wage Inequality in the United States," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 681-722, August.
    35. Bas Jacobs & A. Lans Bovenberg, 2011. "Optimal Taxation of Human Capital and the Earnings Function," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(6), pages 957-971, December.
    36. Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
    37. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
    38. Hintermaier, Thomas & Koeniger, Winfried, 2010. "The method of endogenous gridpoints with occasionally binding constraints among endogenous variables," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 2074-2088, October.
    39. Lans Bovenberg, A. & Jacobs, Bas, 2005. "Redistribution and education subsidies are Siamese twins," Journal of Public Economics, Elsevier, vol. 89(11-12), pages 2005-2035, December.
    40. Emmanuel Saez, 2001. "Using Elasticities to Derive Optimal Income Tax Rates," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 205-229.
    41. Nathaniel G. Hilger, 2016. "Parental Job Loss and Children's Long-Term Outcomes: Evidence from 7 Million Fathers' Layoffs," American Economic Journal: Applied Economics, American Economic Association, vol. 8(3), pages 247-283, July.
    42. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2014. "Dynamic Mechanism Design: A Myersonian Approach," Econometrica, Econometric Society, vol. 82(2), pages 601-653, March.
    43. Erosa, Andres & Koreshkova, Tatyana, 2007. "Progressive taxation in a dynastic model of human capital," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 667-685, April.
    44. O. Ashenfelter & D. Card (ed.), 1999. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 3, number 3.
    45. Julian Neira & Marek Kapicka, 2012. "Optimal Taxation in a Life-Cycle Economy with Endogenous Human Capital Formation," 2012 Meeting Papers 1164, Society for Economic Dynamics.
    46. Narayana R. Kocherlakota, 2010. "The New Dynamic Public Finance," Economics Books, Princeton University Press, edition 1, number 9222.
    47. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    48. Maxim Troshkin & Aleh Tsyvinski & Mikhail Golosov, 2010. "Optimal Dynamic Taxes," 2010 Meeting Papers 320, Society for Economic Dynamics.
    49. Yoram Ben-Porath, 1967. "The Production of Human Capital and the Life Cycle of Earnings," Journal of Political Economy, University of Chicago Press, vol. 75(4), pages 352-352.
    50. Findeisen, Sebastian & Sachs, Dominik, 2016. "Education and optimal dynamic taxation: The role of income-contingent student loans," Journal of Public Economics, Elsevier, vol. 138(C), pages 1-21.
    51. Sang Yoon (Tim) Lee & Ananth Seshadri, 2019. "On the Intergenerational Transmission of Economic Status," Journal of Political Economy, University of Chicago Press, vol. 127(2), pages 855-921.
    52. Dean Corbae & Mariacristina De Nardi & Lance Lochner, 2017. "RED Special Issue on Human Capital and Inequality, an introduction," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 25, pages 1-3, April.
    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. Mark Colas & Sebastian Findeisen & Dominik Sachs, 2021. "Optimal Need-Based Financial Aid," Journal of Political Economy, University of Chicago Press, vol. 129(2), pages 492-533.
    2. Stefanie Stantcheva, 2020. "Dynamic Taxation," Annual Review of Economics, Annual Reviews, vol. 12(1), pages 801-831, August.
    3. Koeniger, Winfried & Zanella, Carlo, 2022. "Opportunity and inequality across generations," Journal of Public Economics, Elsevier, vol. 208(C).
    4. Robert J. Gary-Bobo & Alain Trannoy, 2015. "Optimal student loans and graduate tax under moral hazard and adverse selection," RAND Journal of Economics, RAND Corporation, vol. 46(3), pages 546-576, September.
    5. Dirk Krueger & Alexander Ludwig & Irina Popova, 2024. "Shaping Inequality and Intergenerational Persistence of Poverty: Free College or Better Schools," NBER Working Papers 32467, National Bureau of Economic Research, Inc.
    6. Kindermann, Fabian & Mayr, Lukas & Sachs, Dominik, 2020. "Inheritance taxation and wealth effects on the labor supply of heirs," Journal of Public Economics, Elsevier, vol. 191(C).
    7. Dirk Krueger & Alexander Ludwig & Irina Popova, 2024. "Shaping Inequality and Intergenerational Persistence of Poverty: Free College or Better Schools," PIER Working Paper Archive 24-023, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    8. Sylwia Radomska, 2019. "Optimal Policy for Investment in Human Capital in the Light of Optimal Tax Theory (Inwestycje w kapital ludzki w swietle optymalnej teorii podatkowej)," Research Reports, University of Warsaw, Faculty of Management, vol. 1(30), pages 34-42.
    9. Sachs, Dominik & Abbott, Brant, 2016. "Universal versus Targeted Preschools: An Optimal Tax Approach," VfS Annual Conference 2016 (Augsburg): Demographic Change 145916, Verein für Socialpolitik / German Economic Association.

    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. Koeniger, Winfried & Zanella, Carlo, 2022. "Opportunity and inequality across generations," Journal of Public Economics, Elsevier, vol. 208(C).
    2. Stefanie Stantcheva, 2017. "Optimal Taxation and Human Capital Policies over the Life Cycle," Journal of Political Economy, University of Chicago Press, vol. 125(6), pages 1931-1990.
    3. Stefanie Stantcheva, 2020. "Dynamic Taxation," Annual Review of Economics, Annual Reviews, vol. 12(1), pages 801-831, August.
    4. Findeisen, Sebastian & Sachs, Dominik, 2016. "Education and optimal dynamic taxation: The role of income-contingent student loans," Journal of Public Economics, Elsevier, vol. 138(C), pages 1-21.
    5. Mark Colas & Sebastian Findeisen & Dominik Sachs, 2021. "Optimal Need-Based Financial Aid," Journal of Political Economy, University of Chicago Press, vol. 129(2), pages 492-533.
    6. Findeisen, Sebastian & Sachs, Dominik, 2015. "Designing efficient college and tax policies," Working Papers 15-09, University of Mannheim, Department of Economics.
    7. Stefanie Stantcheva, 2015. "Learning and (or) Doing: Human Capital Investments and Optimal Taxation," NBER Working Papers 21381, National Bureau of Economic Research, Inc.
    8. Been-Lo Chen & Fei-Chi Liang, 2024. "Optimal Taxation in the Life Cycle with Human Capital Investment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 52, pages 21-45, April.
    9. Dominik Sachs & Sebastian Findeisen, 2016. "Optimal Financial Aid Policies for Students," 2016 Meeting Papers 1421, Society for Economic Dynamics.
    10. Been-Lo Chen & Fei-Chi Liang, 2024. "Optimal Taxation in the Life Cycle with Human Capital Investment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 52, pages 21-45, April.
    11. Golosov, M. & Tsyvinski, A. & Werquin, N., 2016. "Recursive Contracts and Endogenously Incomplete Markets," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 725-841, Elsevier.
    12. Sylwia Radomska, 2019. "Optimal Policy for Investment in Human Capital in the Light of Optimal Tax Theory (Inwestycje w kapital ludzki w swietle optymalnej teorii podatkowej)," Research Reports, University of Warsaw, Faculty of Management, vol. 1(30), pages 34-42.
    13. Mikhail Golosov & Luigi Iovino, 2021. "Social Insurance, Information Revelation, and Lack of Commitment," Journal of Political Economy, University of Chicago Press, vol. 129(9), pages 2629-2665.
    14. Krueger, Dirk & Ludwig, Alexander, 2016. "On the optimal provision of social insurance: Progressive taxation versus education subsidies in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 77(C), pages 72-98.
    15. Krueger, Dirk & Ludwig, Alexander, 2013. "On the Optimal Provision of Social Insurance," MEA discussion paper series 201302, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    16. Stefanie Stantcheva, 2015. "Optimal Income, Education, and Bequest Taxes in an Intergenerational Model," NBER Working Papers 21177, National Bureau of Economic Research, Inc.
    17. Christian Moser & Pedro Olea de Souza e Silva, 2019. "Optimal Paternalistic Savings Policies," Opportunity and Inclusive Growth Institute Working Papers 17, Federal Reserve Bank of Minneapolis.
    18. Sachs, Dominik & Findeisen, Sebastian, 2015. "Insurance and Redistribution with Simple Tax Instruments," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113099, Verein für Socialpolitik / German Economic Association.
    19. Findeisen, Sebastian & Sachs, Dominik, 2017. "Redistribution and insurance with simple tax instruments," Journal of Public Economics, Elsevier, vol. 146(C), pages 58-78.
    20. Ashley C. Craig, 2023. "Optimal Income Taxation with Spillovers from Employer Learning," American Economic Journal: Economic Policy, American Economic Association, vol. 15(2), pages 82-125, May.

    More about this item

    Keywords

    Human capital; Optimal taxation;

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • I22 - Health, Education, and Welfare - - Education - - - Educational Finance; Financial Aid
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

    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:usg:econwp:2014:34. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/vwasgch.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.