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Efficient Risk Sharing with Limited Commitment and Storage

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  • Árpád Ábrahám
  • Sarolta Laczó

Abstract

We extend the model of risk sharing with limited commitment (Kocherlakota, 1996) by introducing both a public and a private (non-contractible and/or non-observable) storage technology. Positive public storage relaxes future participation constraints and may hence improve risk sharing, contrary to the case where hidden income or effort is the deep friction. The characteristics of constrained-efficient allocations crucially depend on the storage technology's return. In the long run, if the return on storage is (i) moderately high, both assets and the consumption distribution may remain time-varying; (ii) sufficiently high, assets converge almost surely to a constant and the consumption distribution is time-invariant; (iii) equal to agents' discount rate, perfect risk sharing is self-enforcing. Agents never have an incentive to use their private storage technology, i.e., Euler inequalities are always satisfied, at the constrained-efficient allocation of our model, while this is not the case without optimal public asset accumulation.

Suggested Citation

  • Árpád Ábrahám & Sarolta Laczó, 2013. "Efficient Risk Sharing with Limited Commitment and Storage," Working Papers 697, Barcelona Graduate School of Economics.
  • Handle: RePEc:bge:wpaper:697
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    1. Jonathan Thomas & Tim Worrall, 1988. "Self-Enforcing Wage Contracts," Review of Economic Studies, Oxford University Press, vol. 55(4), pages 541-554.
    2. Maurizio Mazzocco & Shiv Saini, 2012. "Testing Efficient Risk Sharing with Heterogeneous Risk Preferences," American Economic Review, American Economic Association, vol. 102(1), pages 428-468, February.
    3. Krueger, Dirk & Uhlig, Harald, 2006. "Competitive risk sharing contracts with one-sided commitment," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1661-1691, October.
    4. Townsend, Robert M, 1994. "Risk and Insurance in Village India," Econometrica, Econometric Society, vol. 62(3), pages 539-591, May.
    5. 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.
    6. 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.
    7. 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.
    8. Ken Yamada & Jeremy Lise, 2014. "Household Sharing and Commitment: Evidence from Panel Data on Individual Expenditures and Time Use," 2014 Meeting Papers 152, Society for Economic Dynamics.
    9. 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.
    10. Jonathan Thomas & Tim Worrall, 1994. "Foreign Direct Investment and the Risk of Expropriation," Review of Economic Studies, Oxford University Press, vol. 61(1), pages 81-108.
    11. Ogaki, Masao & Zhang, Qiang, 2001. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Econometrica, Econometric Society, vol. 69(2), pages 515-526, March.
    12. Kehoe, Patrick J. & Perri, Fabrizio, 2004. "Competitive equilibria with limited enforcement," Journal of Economic Theory, Elsevier, vol. 119(1), pages 184-206, November.
    13. 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.
    14. Albert Marcet & Ramon Marimon, 1994. "Recursive contracts," Economics Working Papers 337, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 1998.
    15. Bulow, Jeremy & Rogoff, Kenneth, 1989. "Sovereign Debt: Is to Forgive to Forget?," American Economic Review, American Economic Association, vol. 79(1), pages 43-50, March.
    16. Tobias Broer, 2009. "Stationary equilibrium distributions in economies with limited commitment," Economics Working Papers ECO2009/39, European University Institute.
    17. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    18. 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.
    19. Narayana R. Kocherlakota, 1996. "Implications of Efficient Risk Sharing without Commitment," Review of Economic Studies, Oxford University Press, vol. 63(4), pages 595-609.
    20. Narayana Kocherlakota, 2004. "Figuring out the Impact of Hidden Savings on Optimal Unemployment Insurance," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 541-554, July.
    21. 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.
    22. 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.
    23. Allen, Franklin, 1985. "Repeated principal-agent relationships with lending and borrowing," Economics Letters, Elsevier, vol. 17(1-2), pages 27-31.
    24. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-396, March.
    25. Alexander Karaivanov & Robert M. Townsend, 2014. "Dynamic Financial Constraints: Distinguishing Mechanism Design From Exogenously Incomplete Regimes," Econometrica, Econometric Society, vol. 82(3), pages 887-959, May.
    26. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, January.
    27. Kimball, Miles S, 1988. "Farmers' Cooperatives as Behavior Toward Risk," American Economic Review, American Economic Association, vol. 78(1), pages 224-232, March.
    28. Ljungqvist, Lars & Sargent, Thomas J., 2012. "Recursive Macroeconomic Theory, Third Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262018748, January.
    29. Ethan Ligon, 1998. "Risk Sharing and Information in Village Economies," Review of Economic Studies, Oxford University Press, vol. 65(4), pages 847-864.
    30. Maurizio Mazzocco, 2007. "Household Intertemporal Behaviour: A Collective Characterization and a Test of Commitment," Review of Economic Studies, Oxford University Press, vol. 74(3), pages 857-895.
    31. 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.
    32. Christian Sigouin, 2003. "Investment Decisions, Financial Flows, and Self-Enforcing Contracts," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(4), pages 1359-1382, November.
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    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Efficient Risk Sharing with Limited Commitment and Storage
      by Christian Zimmermann in NEP-DGE blog on 2013-07-14 08:58:49

    More about this item

    Keywords

    risk sharing; limited commitment; hidden storage; dynamic contracts;

    JEL classification:

    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)

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