IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v146y2011i3p920-956.html
   My bibliography  Save this article

Public versus private risk sharing

Author

Listed:
  • Krueger, Dirk
  • Perri, Fabrizio

Abstract

Can public income insurance through progressive income taxation improve the allocation of risk in an economy where private risk sharing is incomplete? The answer depends crucially on the fundamental friction that limits private risk sharing in the first place. If risk sharing is limited because insurance markets are missing for model-exogenous reasons (as in Bewley (1986) [8]) publicly provided risk sharing improves on the allocation of risk. If instead private insurance markets exist but their use is limited by limited enforcement (as in Kehoe and Levine (1993) [23]) then the provision of public insurance interacts with equilibrium private insurance, as, by providing risk sharing, the government affects the value of exclusion from private insurance markets and thus the enforcement mechanism of these contracts. We characterize consumption allocations in an economy with limited enforcement and a continuum of agents facing plausible income risk and tax systems with various degrees of progressivity (public risk sharing). We provide conditions under which more publicly provided insurance actually reduces total insurance for agents (excess crowding-out), or under which more public insurance increases total insurance (partial crowding-out).

Suggested Citation

  • Krueger, Dirk & Perri, Fabrizio, 2011. "Public versus private risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 920-956, May.
  • Handle: RePEc:eee:jetheo:v:146:y:2011:i:3:p:920-956
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053110001468
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jeffrey R. Brown & Norma B. Coe & Amy Finkelstein, 2007. "Medicaid Crowd-Out of Private Long-Term Care Insurance Demand: Evidence from the Health and Retirement Survey," NBER Chapters, in: Tax Policy and the Economy, Volume 21, pages 1-34, National Bureau of Economic Research, Inc.
    2. Ethan Ligon & Jonathan P. Thomas & Tim Worrall, 2000. "Mutual Insurance, Individual Savings and Limited Commitment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 216-246, April.
    3. Ethan Ligon & Jonathan P. Thomas & Tim Worrall, 2002. "Informal Insurance Arrangements with Limited Commitment: Theory and Evidence from Village Economies," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 209-244.
    4. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-396, March.
    5. Avinash Dixit, 2005. "Trade And Insurance With Imperfectly Observed Outcomes," World Scientific Book Chapters, in: An Inframarginal Approach To Trade Theory, chapter 5, pages 75-84, World Scientific Publishing Co. Pte. Ltd..
    6. Albert Marcet & Ramon Marimon, 2019. "Recursive Contracts," Econometrica, Econometric Society, vol. 87(5), pages 1589-1631, September.
    7. Nelson, J.A., 1993. "On Testing for Full Insurance Using Consumer Expenditures Survey Data," Papers 93-02, California Davis - Institute of Governmental Affairs.
    8. Andrew Atkeson & Robert E. Lucas, 1992. "On Efficient Distribution With Private Information," Review of Economic Studies, Oxford University Press, vol. 59(3), pages 427-453.
    9. Jonathan P. Thomas & Tim Worrall, 2007. "Unemployment Insurance under Moral Hazard and Limited Commitment: Public versus Private Provision," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(1), pages 151-181, February.
    10. Marcet, Albert & Marimon, Ramon, 1992. "Communication, commitment, and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 219-249, December.
    11. Atkeson Andrew & Lucas Jr. , Robert E., 1995. "Efficiency and Equality in a Simple Model of Efficient Unemployment Insurance," Journal of Economic Theory, Elsevier, vol. 66(1), pages 64-88, June.
    12. Avinash Dixit, 2005. "Trade And Insurance With Moral Hazard," World Scientific Book Chapters, in: An Inframarginal Approach To Trade Theory, chapter 4, pages 53-74, World Scientific Publishing Co. Pte. Ltd..
    13. Eva Carceles-Poveda & Arpad Abraham, 2005. "Complete Markets, Enforcement Constraints and Intermediation," 2005 Meeting Papers 661, Society for Economic Dynamics.
    14. Narayana R Kocherlakota, 2005. "Advances in Dynamic Optimal Taxation," Levine's Bibliography 784828000000000518, UCLA Department of Economics.
    15. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    16. Rafael Di Tella & Robert MacCulloch, 2002. "Informal Family Insurance And The Design Of The Welfare State," Economic Journal, Royal Economic Society, vol. 112(481), pages 481-503, July.
    17. MaCurdy, Thomas E., 1982. "The use of time series processes to model the error structure of earnings in a longitudinal data analysis," Journal of Econometrics, Elsevier, vol. 18(1), pages 83-114, January.
    18. 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.
    19. Satyajit Chatterjee & Dean Corbae & Makoto Nakajima & José-Víctor Ríos-Rull, 2007. "A Quantitative Theory of Unsecured Consumer Credit with Risk of Default," Econometrica, Econometric Society, vol. 75(6), pages 1525-1589, November.
    20. Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Oxford University Press, vol. 60(4), pages 865-888.
    21. Harold L. Cole & Narayana R. Kocherlakota, 2001. "Efficient Allocations with Hidden Income and Hidden Storage," Review of Economic Studies, Oxford University Press, vol. 68(3), pages 523-542.
    22. White, M.J., 1998. "Why It Pays to File for Bankruptcy: A Critical Look at Incentives Under U.S. Bankruptcy Laws and A Proposal for Change," Papers 98-02, Michigan - Center for Research on Economic & Social Theory.
    23. Jonathan Heathcote & Fabrizio Perri & Giovanni L. Violante, 2010. "Unequal We Stand: An Empirical Analysis of Economic Inequality in the United States: 1967-2006," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(1), pages 15-51, January.
    24. Mikhail Golosov & Aleh Tsyvinski & Ivan Werning, 2007. "New Dynamic Public Finance: A User's Guide," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 317-388, National Bureau of Economic Research, Inc.
    25. Mikhail Golosov & Aleh Tsyvinski, 2007. "Optimal Taxation with Endogenous Insurance Markets," The Quarterly Journal of Economics, Oxford University Press, vol. 122(2), pages 487-534.
    26. Dirk Krueger & Fabrizio Perri, 2006. "Does Income Inequality Lead to Consumption Inequality? Evidence and Theory -super-1," Review of Economic Studies, Oxford University Press, vol. 73(1), pages 163-193.
    27. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
    28. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Oxford University Press, vol. 38(2), pages 175-208.
    29. David M. Cutler & Jonathan Gruber, 1996. "Does Public Insurance Crowd out Private Insurance?," The Quarterly Journal of Economics, Oxford University Press, vol. 111(2), pages 391-430.
    30. Avinash Dixit, 1989. "Trade and Insurance with Adverse Selection," Review of Economic Studies, Oxford University Press, vol. 56(2), pages 235-247.
    31. Nelson, Julie A, 1994. "On Testing for Full Insurance Using Consumer Expenditure Survey Data: Comment," Journal of Political Economy, University of Chicago Press, vol. 102(2), pages 384-394, April.
    32. Varian, Hal R., 1980. "Redistributive taxation as social insurance," Journal of Public Economics, Elsevier, vol. 14(1), pages 49-68, August.
    33. Vasia Panousi, 2010. "Capital taxation with entrepreneurial risk," Finance and Economics Discussion Series 2010-56, Board of Governors of the Federal Reserve System (U.S.).
    34. Attanasio, Orazio & Rios-Rull, Jose-Victor, 2000. "Consumption smoothing in island economies: Can public insurance reduce welfare?," European Economic Review, Elsevier, vol. 44(7), pages 1225-1258, June.
    35. Narayana R. Kocherlakota, 1996. "Implications of Efficient Risk Sharing without Commitment," Review of Economic Studies, Oxford University Press, vol. 63(4), pages 595-609.
    36. Abraham, Arpad & Carceles-Poveda, Eva, 2006. "Endogenous incomplete markets, enforcement constraints, and intermediation," Theoretical Economics, Econometric Society, vol. 1(4), pages 439-459, December.
    37. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
    38. 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.
    Full references (including those not matched with items on IDEAS)

    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. Dirk Krueger, 2006. "Public Insurance against Idiosyncratic and Aggregate Risk: The Case of Social Security and Progressive Income Taxation," CESifo Economic Studies, CESifo, vol. 52(4), pages 587-620, December.
    2. 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.
    3. Árpád Ábrahám & Sarolta Laczó, 2018. "Efficient Risk Sharing with Limited Commitment and Storage," Review of Economic Studies, Oxford University Press, vol. 85(3), pages 1389-1424.
    4. Dirk Krueger & Fabrizio Perri, 1999. "Risk sharing: private insurance markets or redistributive taxes?," Staff Report 262, Federal Reserve Bank of Minneapolis.
    5. Tobias Broer, 2009. "Stationary equilibrium distributions in economies with limited commitment," Economics Working Papers ECO2009/39, European University Institute.
    6. Yili Chien & Junsang Lee, 2006. "Why Tax Capital?," 2006 Meeting Papers 492, Society for Economic Dynamics.
    7. repec:zbw:cfswop:wp200515 is not listed on IDEAS
    8. Dirk Krueger & Fabrizio Perri, 2002. "Does Income Inequality Lead to Consumption Inequality? Evidence and Theory," NBER Working Papers 9202, National Bureau of Economic Research, Inc.
    9. Lyon, Spencer G. & Waugh, Michael E., 2018. "Redistributing the gains from trade through progressive taxation," Journal of International Economics, Elsevier, vol. 115(C), pages 185-202.
    10. Orazio P. Attanasio & Guglielmo Weber, 2010. "Consumption and Saving: Models of Intertemporal Allocation and Their Implications for Public Policy," Journal of Economic Literature, American Economic Association, vol. 48(3), pages 693-751, September.
    11. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2014. "Consumption and Labor Supply with Partial Insurance: An Analytical Framework," American Economic Review, American Economic Association, vol. 104(7), pages 2075-2126, July.
    12. Christian A. Stoltenberg & Swapnil Singh, 2020. "Consumption insurance with advance information," Quantitative Economics, Econometric Society, vol. 11(2), pages 671-711, May.
    13. Tobias Broer & Marek Kapicka & Paul Klein, 2017. "Consumption Risk Sharing with Private Information and Limited Enforcement," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 23, pages 170-190, January.
    14. Yongsung Chang & Yena Park, 2017. "Optimal Taxation with Private Insurance," 2017 Meeting Papers 1321, Society for Economic Dynamics.
    15. Tobias Broer, 2013. "The Wrong Shape of Insurance? What Cross-Sectional Distributions Tell Us about Models of Consumption Smoothing," American Economic Journal: Macroeconomics, American Economic Association, vol. 5(4), pages 107-140, October.
    16. Tom Krebs & Moritz Kuhn & Mark Wright, 2017. "Under-Insurance in Human Capital Models with Limited Enforcement," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 25, pages 121-150, April.
    17. YiLi Chien & JunSang Lee, 2006. "Optimal Capital Taxation under Limited Commitment," 2006 Meeting Papers 430, Society for Economic Dynamics.
    18. Borys Grochulski, 2007. "Optimal Personal Bankruptcy Design: A Mirrlees Approach," 2007 Meeting Papers 1008, Society for Economic Dynamics.
    19. Acemoglu, Daron & Golosov, Mikhail & Tsyvinski, Aleh, 2008. "Markets versus governments," Journal of Monetary Economics, Elsevier, vol. 55(1), pages 159-189, January.
    20. 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.
    21. Tobias Broer & Marek Kapicka & Paul Klein, 2017. "Consumption Risk Sharing with Private Information and Limited Enforcement," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 23, pages 170-190, January.

    More about this item

    Keywords

    Incomplete markets Progressive taxation Insurance Limited enforcement;

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household

    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:eee:jetheo:v:146:y:2011:i:3:p:920-956. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    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: Nithya Sathishkumar (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.