IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v166y2016icp362-395.html
   My bibliography  Save this article

Non-exclusive dynamic contracts, competition, and the limits of insurance

Author

Listed:
  • Ales, Laurence
  • Maziero, Pricila

Abstract

We study how the presence of non-exclusive contracts limits the amount of insurance provided in a decentralized economy. We consider a dynamic Mirrleesian economy in which agents are privately informed about idiosyncratic labor productivity shocks. Agents sign privately observable insurance contracts with multiple firms (i.e., they are non-exclusive). Contracts specify both labor and savings requirements. Firms have no restriction on the contracts they can offer and interact strategically. In equilibrium, contrary to the case with exclusive contracts, a standard Euler equation holds, and the marginal rate of substitution between consumption and leisure is equated to the worker's marginal productivity. Also, each agent receives zero net present value of transfers. These conditions imply the equilibrium allocation is equivalent to a standard incomplete markets model. To sustain this equilibrium, more than one firm must be active and must also offer latent contracts to deter deviations to more profitable contingent contracts. In this environment, the non-observability of contracts removes the possibility of additional insurance beyond self-insurance.

Suggested Citation

  • Ales, Laurence & Maziero, Pricila, 2016. "Non-exclusive dynamic contracts, competition, and the limits of insurance," Journal of Economic Theory, Elsevier, vol. 166(C), pages 362-395.
  • Handle: RePEc:eee:jetheo:v:166:y:2016:i:c:p:362-395
    DOI: 10.1016/j.jet.2016.09.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053116300801
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jet.2016.09.006?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Paxson, Christina H & Sicherman, Nachum, 1996. "The Dynamics of Dual Job Holding and Job Mobility," Journal of Labor Economics, University of Chicago Press, vol. 14(3), pages 357-393, July.
    2. Alberto Bisin & Danilo Guaitoli, 2004. "Moral Hazard and Nonexclusive Contracts," RAND Journal of Economics, The RAND Corporation, vol. 35(2), pages 306-328, Summer.
    3. Gary Chamberlain & Charles A. Wilson, 2000. "Optimal Intertemporal Consumption Under Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 365-395, July.
    4. 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.
    5. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
    6. Ethan Ligon, 1998. "Risk Sharing and Information in Village Economies," Review of Economic Studies, Oxford University Press, vol. 65(4), pages 847-864.
    7. Stefania Albanesi & Christopher Sleet, 2006. "Dynamic Optimal Taxation with Private Information," Review of Economic Studies, Oxford University Press, vol. 73(1), pages 1-30.
    8. Andrea Attar & Thomas Mariotti & François Salanié, 2011. "Nonexclusive Competition in the Market for Lemons," Econometrica, Econometric Society, vol. 79(6), pages 1869-1918, November.
    9. Laurence Ales, 2009. "Adverse Selection and Non-exclusive Contracts," 2009 Meeting Papers 854, Society for Economic Dynamics.
    10. Mark Armstrong & John Vickers, 2010. "Competitive Non-linear Pricing and Bundling," Review of Economic Studies, Oxford University Press, vol. 77(1), pages 30-60.
    11. Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
    12. Alessandro Pavan & Giacomo Calzolari, 2010. "Truthful Revelation Mechanisms for Simultaneous Common Agency Games," American Economic Journal: Microeconomics, American Economic Association, vol. 2(2), pages 132-190, May.
    13. Prescott, Edward C & Townsend, Robert M, 1984. "Pareto Optima and Competitive Equilibria with Adverse Selection and Moral Hazard," Econometrica, Econometric Society, vol. 52(1), pages 21-45, January.
    14. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    15. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    16. 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.
    17. Árpád Ábrahám & Nicola Pavoni, 2005. "The Efficient Allocation of Consumption under Moral Hazard and Hidden Access to the Credit Market," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 370-381, 04/05.
    18. Kocherlakota, Narayana R., 1996. "Reconsideration-Proofness: A Refinement for Infinite Horizon Time Inconsistency," Games and Economic Behavior, Elsevier, vol. 15(1), pages 33-54, July.
    19. Emmanuel Farhi, 2013. "Insurance and Taxation over the Life Cycle," Review of Economic Studies, Oxford University Press, vol. 80(2), pages 596-635.
    20. Peter J. Hammond, 1987. "Markets as Constraints: Multilateral Incentive Compatibility in Continuum Economies," Review of Economic Studies, Oxford University Press, vol. 54(3), pages 399-412.
    21. 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.
    22. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    23. 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.
    24. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2003. "Optimal Indirect and Capital Taxation," Review of Economic Studies, Oxford University Press, vol. 70(3), pages 569-587.
    25. Emmanuel Farhi & Mikhail Golosov & Aleh Tsyvinski, 2009. "A Theory of Liquidity and Regulation of Financial Intermediation," Review of Economic Studies, Oxford University Press, vol. 76(3), pages 973-992.
    26. , & , & ,, 2014. "Nonexclusive competition under adverse selection," Theoretical Economics, Econometric Society, vol. 9(1), January.
    27. Allen, Franklin, 1985. "Repeated principal-agent relationships with lending and borrowing," Economics Letters, Elsevier, vol. 17(1-2), pages 27-31.
    28. Thomas, Jonathan & Worrall, Tim, 1990. "Income fluctuation and asymmetric information: An example of a repeated principal-agent problem," Journal of Economic Theory, Elsevier, vol. 51(2), pages 367-390, August.
    29. Mark Aguiar & Erik Hurst, 2005. "Consumption versus Expenditure," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 919-948, October.
    30. Arpad Abraham & Nicola Pavoni, 2008. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending: A Recursive Formulation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 781-803, October.
    31. Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
    32. Ales, Laurence & Sleet, Christopher, 2014. "Revision proofness," Journal of Economic Theory, Elsevier, vol. 152(C), pages 324-355.
    33. Narayana Kocherlakota & Luigi Pistaferri, 2008. "Household Heterogeneity and Asset Trade: Resolving the Equity Premium Puzzle in Three Countries," Levine's Bibliography 122247000000001886, UCLA Department of Economics.
    34. Stiglitz, Joseph E., 1982. "Self-selection and Pareto efficient taxation," Journal of Public Economics, Elsevier, vol. 17(2), pages 213-240, March.
    35. Richard Arnott & Joseph Stiglitz, 1991. "Equilibrium in Competitive Insurance Markets with Moral Hazard," NBER Working Papers 3588, National Bureau of Economic Research, Inc.
    36. Mikhail Golosov & Maxim Troshkin & Aleh Tsyvinski, 2016. "Redistribution and Social Insurance," American Economic Review, American Economic Association, vol. 106(2), pages 359-386, February.
    37. 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.
    38. Ábrahám, Árpád & Koehne, Sebastian & Pavoni, Nicola, 2011. "On the first-order approach in principal-agent models with hidden borrowing and lending," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1331-1361, July.
    39. Guesnerie,Roger, 1998. "A Contribution to the Pure Theory of Taxation," Cambridge Books, Cambridge University Press, number 9780521629560.
    40. Matthew Weinzierl, 2011. "The Surprising Power of Age-Dependent Taxes," Review of Economic Studies, Oxford University Press, vol. 78(4), pages 1490-1518.
    41. Farhi, Emmanuel & Werning, Iván, 2008. "Optimal savings distortions with recursive preferences," Journal of Monetary Economics, Elsevier, vol. 55(1), pages 21-42, January.
    42. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
    43. Laurence Ales & Maziero Pricila, "undated". "Accounting for Private Information," GSIA Working Papers 2010-E58, Carnegie Mellon University, Tepper School of Business.
    44. Narayana R. Kocherlakota, 2010. "The New Dynamic Public Finance," Economics Books, Princeton University Press, edition 1, number 9222.
    45. Greg Kaplan & Giovanni L. Violante, 2010. "How Much Consumption Insurance beyond Self-Insurance?," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(4), pages 53-87, October.
    46. 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.
    47. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    48. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
    49. Kenichi Fukushima, 2010. "Quantifying the Welfare Gains From Flexible Dynamic Income Tax Systems," 2010 Meeting Papers 410, Society for Economic Dynamics.
    50. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
    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. 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.
    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. Vladimir Asriyan & Victoria Vanasco, 2019. "Security Design in Non-Exclusive Markets with Asymmetric Information," Working Papers 1164, Barcelona School of Economics.
    4. 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.
    5. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2014. "Multiple Contracting in Insurance Markets," IDEI Working Papers 839, Institut d'Économie Industrielle (IDEI), Toulouse, revised Sep 2016.
    6. Bertola, Giuseppe & Koeniger, Winfried, 2010. "Public and Private Insurance with Costly Transactions," CEPR Discussion Papers 8062, C.E.P.R. Discussion Papers.
    7. Augustin Landier & Guillaume Plantin, 2017. "Taxing the Rich," Review of Economic Studies, Oxford University Press, vol. 84(3), pages 1186-1209.
    8. Giuseppe Bertola & Winfried Koeniger, 2015. "Hidden insurance in a moral-hazard economy," RAND Journal of Economics, RAND Corporation, vol. 46(4), pages 777-790, October.
    9. Ettore Panetti, 2017. "A Theory of Bank Illiquidity and Default with Hidden Trades," Review of Finance, European Finance Association, vol. 21(3), pages 1123-1157.
    10. Sarolta Laczo, 2010. "Estimating Dynamic Contracts: Risk Sharing in Village Economies," 2010 Meeting Papers 687, Society for Economic Dynamics.
    11. Carvajal, Andrés & Thereze, João, 2023. "Insurance contracts and financial markets," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 8-19.
    12. Gwenaël Piaser, 2014. "Common Agency Games with Common Value Exclusion, Convexity and Existence," Working Papers 2014-420, Department of Research, Ipag Business School.
    13. Laurence Ales, 2009. "Adverse Selection and Non-exclusive Contracts," 2009 Meeting Papers 854, Society for Economic Dynamics.
    14. repec:hal:spmain:info:hdl:2441/3lf2qe5um58328r4d5r2rq9noc is not listed on IDEAS
    15. Panetti, Ettore, 2011. "Unobservable savings, risk sharing and default in the financial system," MPRA Paper 29542, University Library of Munich, Germany.
    16. repec:hal:spmain:info:hdl:2441/6poqlonjhj8fdpldq7rs4pqcu9 is not listed 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. 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.
    2. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2021. "Competitive Nonlinear Pricing under Adverse Selection," TSE Working Papers 21-1201, Toulouse School of Economics (TSE), revised Aug 2022.
    3. 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.
    4. Attar, Andrea & Mariotti, Thomas & Salanié, François, 2014. "Multiple Contracting in Insurance Markets," IDEI Working Papers 839, Institut d'Économie Industrielle (IDEI), Toulouse, revised Sep 2016.
    5. 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.
    6. 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.
    7. 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.
    8. Andrea Attar & Thomas Mariotti & François Salanié, 2020. "The Social Costs of Side Trading," The Economic Journal, Royal Economic Society, vol. 130(630), pages 1608-1622.
    9. Stefanie Stantcheva, 2020. "Dynamic Taxation," Annual Review of Economics, Annual Reviews, vol. 12(1), pages 801-831, August.
    10. Laurence Ales & Maziero Pricila, "undated". "Accounting for Private Information," GSIA Working Papers 2010-E58, Carnegie Mellon University, Tepper School of Business.
    11. Han, Seungjin, 2014. "Implicit collusion in non-exclusive contracting under adverse selection," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 85-95.
    12. Stefania Albanesi & Christopher Sleet, 2006. "Dynamic Optimal Taxation with Private Information," Review of Economic Studies, Oxford University Press, vol. 73(1), pages 1-30.
    13. Roozbeh Hosseini & Larry E. Jones & Ali Shourideh, 2009. "Risk Sharing, Inequality and Fertility," NBER Working Papers 15111, National Bureau of Economic Research, Inc.
    14. 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.
    15. Karaivanov, Alexander K. & Martin, Fernando M., 2018. "Markov-perfect risk sharing, moral hazard and limited commitment," Journal of Economic Dynamics and Control, Elsevier, vol. 94(C), pages 1-23.
    16. Bisin, Alberto & Rampini, Adriano A., 2006. "Markets as beneficial constraints on the government," Journal of Public Economics, Elsevier, vol. 90(4-5), pages 601-629, May.
    17. 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.
    18. Slavík, Ctirad & Yazici, Hakki, 2014. "Machines, buildings, and optimal dynamic taxes," Journal of Monetary Economics, Elsevier, vol. 66(C), pages 47-61.
    19. Maxim Troshkin & Aleh Tsyvinski & Mikhail Golosov, 2010. "Optimal Dynamic Taxes," 2010 Meeting Papers 320, Society for Economic Dynamics.
    20. Laurence Ales, 2009. "Adverse Selection and Non-exclusive Contracts," 2009 Meeting Papers 854, Society for Economic Dynamics.

    More about this item

    Keywords

    Optimal dynamic social insurance; Non-exclusive contracts; Incomplete markets; Optimal taxation; Private information;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General

    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:166:y:2016:i:c:p:362-395. 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: Catherine Liu (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. RePEc uses bibliographic data supplied by the respective publishers.