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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.

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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 697.

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Date of creation: Apr 2013
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Handle: RePEc:bge:wpaper:697

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

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References

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  1. Ligon, Ethan & Thomas, Jonathan P & Worrall, Tim, 2002. "Informal Insurance Arrangements with Limited Commitment: Theory and Evidence from Village Economies," Review of Economic Studies, Wiley Blackwell, vol. 69(1), pages 209-44, January.
  2. Kehoe, Patrick J. & Perri, Fabrizio, 2004. "Competitive equilibria with limited enforcement," Journal of Economic Theory, Elsevier, vol. 119(1), pages 184-206, November.
  3. 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.
  4. Kimball, Miles S, 1988. "Farmers' Cooperatives as Behavior Toward Risk," American Economic Review, American Economic Association, vol. 78(1), pages 224-32, March.
  5. 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.
  6. Kocherlakota, Narayana R, 1996. "Implications of Efficient Risk Sharing without Commitment," Review of Economic Studies, Wiley Blackwell, vol. 63(4), pages 595-609, October.
  7. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, December.
  8. Albert Marcet & Ramon Marimon, 2011. "Recursive Contracts," Economics Working Papers ECO2011/15, European University Institute.
  9. 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.
  10. 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.
  11. Thomas, Jonathan & Worrall, Tim, 1988. "Self-enforcing Wage Contracts," Review of Economic Studies, Wiley Blackwell, vol. 55(4), pages 541-54, October.
  12. Allen, Franklin, 1985. "Repeated principal-agent relationships with lending and borrowing," Economics Letters, Elsevier, vol. 17(1-2), pages 27-31.
  13. 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.
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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 03:58:49

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