IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-00796521.html
   My bibliography  Save this paper

Optimal Social Security with Imperfect Tagging

Author

Listed:
  • Oliver Denk

    (OCDE - Organisation de Coopération et de Développement Economiques = Organisation for Economic Co-operation and Development)

  • Jean-Baptiste Michau

    (X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique)

Abstract

Workers are exposed to the risk of permanent disability. We rely on a dynamic mechanism design approach to determine how imperfect information on health should optimally be used to improve the trade-off between inducing the able to work and providing insurance against disability. After deriving the fi rst-order conditions to this problem, we calibrate the model to the U.S. economy and run a numerical simulation. The government should offer back-loaded incentives and make strategic use of the difference between the age at which disability occurs and the age of eligibility to disability bene ts. Also, the able who are (mistakenly) tagged as disabled should be encouraged to work until some early retirement age. This makes a decrease in the strictness of the disability test desirable which would reduce the number of disabled who are not awarded the tag and, hence, improve insurance. Finally, we show how the first-best allocation of resources can asymptotically be implemented by making strategic use of the disability test.

Suggested Citation

  • Oliver Denk & Jean-Baptiste Michau, 2013. "Optimal Social Security with Imperfect Tagging," Working Papers hal-00796521, HAL.
  • Handle: RePEc:hal:wpaper:hal-00796521
    Note: View the original document on HAL open archive server: https://hal.science/hal-00796521
    as

    Download full text from publisher

    File URL: https://hal.science/hal-00796521/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. José-Víctor Ríos-Rull, 1996. "Life-Cycle Economies and Aggregate Fluctuations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 465-489.
    2. Salanie, Bernard, 2002. "Optimal demogrants with imperfect tagging," Economics Letters, Elsevier, vol. 75(3), pages 319-324, May.
    3. repec:oup:restud:v:78:y::i:4:p:1490-1518 is not listed on IDEAS
    4. Liebman, Jeffrey B. & Luttmer, Erzo F.P. & Seif, David G., 2009. "Labor supply responses to marginal Social Security benefits: Evidence from discontinuities," Journal of Public Economics, Elsevier, vol. 93(11-12), pages 1208-1223, December.
    5. Grochulski, Borys & Kocherlakota, Narayana, 2010. "Nonseparable preferences and optimal social security systems," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2055-2077, November.
    6. 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.
    7. Amy Finkelstein & Erzo F. P. Luttmer & Matthew J. Notowidigdo, 2013. "What Good Is Wealth Without Health? The Effect Of Health On The Marginal Utility Of Consumption," Journal of the European Economic Association, European Economic Association, vol. 11, pages 221-258, January.
    8. Alberto Alesina & Andrea Ichino & Loukas Karabarbounis, 2011. "Gender-Based Taxation and the Division of Family Chores," American Economic Journal: Economic Policy, American Economic Association, vol. 3(2), pages 1-40, May.
    9. Mikhail Golosov & Aleh Tsyvinski, 2006. "Designing Optimal Disability Insurance: A Case for Asset Testing," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 257-279, April.
    10. Diamond, Peter A & Mirrlees, James A, 1986. " Payroll-Tax Financed Social Insurance with Variable Retirement," Scandinavian Journal of Economics, Wiley Blackwell, vol. 88(1), pages 25-50.
    11. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2003. "Optimal Indirect and Capital Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(3), pages 569-587.
    12. David H. Autor & Mark G. Duggan, 2006. "The Growth in the Social Security Disability Rolls: A Fiscal Crisis Unfolding," Journal of Economic Perspectives, American Economic Association, vol. 20(3), pages 71-96, Summer.
    13. Diamond, P. A. & Mirrlees, J. A., 1978. "A model of social insurance with variable retirement," Journal of Public Economics, Elsevier, vol. 10(3), pages 295-336, December.
    14. N. Gregory Mankiw & Matthew Weinzierl, 2010. "The Optimal Taxation of Height: A Case Study of Utilitarian Income Redistribution," American Economic Journal: Economic Policy, American Economic Association, vol. 2(1), pages 155-176, February.
    15. Jean-Baptiste Michau, 2011. "Optimal Redistribution with Intensive and Extensive Labor Supply Margins: A Life-Cycle Perspective," Working Papers hal-00639121, HAL.
    16. Hugo Benítez-Silva & Moshe Buchinsky & Hiu Man Chan & Sofia Cheidvasser & John Rust, 2004. "How large is the bias in self-reported disability?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(6), pages 649-670.
    17. Xiaoyan Li & Nicole Maestas, 2008. "Does the Rise in the Full Retirement Age Encourage Disability Benefits Applications? Evidence from the Health and Retirement Study," Working Papers wp198, University of Michigan, Michigan Retirement Research Center.
    18. J. A. Mirrlees, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 3-21.
    19. Varian, Hal R., 1980. "Redistributive taxation as social insurance," Journal of Public Economics, Elsevier, vol. 14(1), pages 49-68, August.
    20. Parsons, Donald O., 1996. "Imperfect 'tagging' in social insurance programs," Journal of Public Economics, Elsevier, vol. 62(1-2), pages 183-207, 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. Hamish Low & Luigi Pistaferri, 2010. "Disability Risk, Disability Insurance and Life Cycle Behavior," NBER Working Papers 15962, National Bureau of Economic Research, Inc.
    2. Michau, Jean-Baptiste, 2014. "Optimal redistribution: A life-cycle perspective," Journal of Public Economics, Elsevier, vol. 111(C), pages 1-16.
    3. Hamish Low & Luigi Pistaferri, 2015. "Disability Insurance and the Dynamics of the Incentive Insurance Trade-Off," American Economic Review, American Economic Association, vol. 105(10), pages 2986-3029, October.
    4. Jean-Baptiste Michau, 2011. "Optimal Redistribution with Intensive and Extensive Labor Supply Margins: A Life-Cycle Perspective," Working Papers hal-00639121, HAL.

    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. Mikhail Golosov & Aleh Tsyvinski, 2006. "Designing Optimal Disability Insurance: A Case for Asset Testing," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 257-279, April.
    2. Shu, Pian, 2015. "Asset accumulation and labor force participation of disability insurance applicants," Journal of Public Economics, Elsevier, vol. 129(C), pages 26-40.
    3. Sebastian Koehne & Nicola Pavoni & Arpad Abraham, 2011. "Optimal Income Taxation with Asset Accumulation," 2011 Meeting Papers 1161, Society for Economic Dynamics.
    4. Slack, Sean & Ulph, David, 2014. "Optimal Universal and Categorical Benefits with Classification Errors and Imperfect Enforcement," SIRE Discussion Papers 2015-13, Scottish Institute for Research in Economics (SIRE).
    5. Mikhail Golosov & Aleh Tsyvinski, 2003. "Designing optimal disability insurance," Working Papers 628, Federal Reserve Bank of Minneapolis.
    6. 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.
    7. Abdoulaye Ndiaye, 2017. "Flexible Retirement and Optimal Taxation," Working Paper Series WP-2018-18, Federal Reserve Bank of Chicago.
    8. Sean Slack & David Ulph, 2014. "Optimal Universal and Categorical Benefits with Classification Errors and Imperfect Enforcement," Discussion Paper Series, School of Economics and Finance 201411, School of Economics and Finance, University of St Andrews.
    9. Mikhail Golosov & Maxim Troshkin & Aleh Tsyvinski, 2011. "Optimal Taxation: Merging Micro and Macro Approaches," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 147-174, August.
    10. N. Gregory Mankiw & Matthew Weinzierl & Danny Yagan, 2009. "Optimal Taxation in Theory and Practice," Journal of Economic Perspectives, American Economic Association, vol. 23(4), pages 147-174, Fall.
    11. Jacobs, Bas & Schindler, Dirk, 2012. "On the desirability of taxing capital income in optimal social insurance," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 853-868.
    12. Koehne, Sebastian & Kuhn, Moritz, 2015. "Optimal taxation in a habit formation economy," Journal of Public Economics, Elsevier, vol. 122(C), pages 31-39.
    13. J. C. Parra & M. Huggett, 2005. "Quantifying the Inefficiency of the US Social Security System," Computing in Economics and Finance 2005 70, Society for Computational Economics.
    14. Jean-Marie Lozachmeur, 2006. "Disability insurance and optimal income taxation," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 13(6), pages 717-732, November.
    15. Bas Jacobs & Dirk Schindler, 2009. "On the Desirability of Taxing Capital Income to Reduce Moral Hazard in Social Insurance," CESifo Working Paper Series 2806, CESifo.
    16. Slack, Sean & Ulph, David, 2014. "Optimal Universal and Categorical Benefits with Classification Errors and Imperfect Enforcement," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-13, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    17. Narayana R. Kocherlakota, 2010. "Introduction," Introductory Chapters, in: The New Dynamic Public Finance, Princeton University Press.
    18. 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.
    19. Helmuth Cremer & Jean‐Marie Lozachmeur & Pierre Pestieau, 2008. "Social Security And Retirement Decision: A Positive And Normative Approach," Journal of Economic Surveys, Wiley Blackwell, vol. 22(2), pages 213-233, April.
    20. Borys Grochulski, 2010. "On the optimality of Ramsey taxes in Mirless economies," Working Paper 10-14, Federal Reserve Bank of Richmond.

    More about this item

    Keywords

    Disability insurance; Imperfect tagging; Optimal policy; Social Security;
    All these keywords.

    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:hal:wpaper:hal-00796521. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.