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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 by introducing both a public and a private (unobservable and/or non-contractible) storage technology. Positive public storage relaxes future participation constraints, hence it can 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. At the steady state, 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. Finally, we find that, in contrast with the limited-commitment model without storage, past income affects consumption growth negatively both in our model with storage and in data from Indian villages.

Suggested Citation

  • Árpád Ábrahám & Sarolta Laczó, 2018. "Efficient Risk Sharing with Limited Commitment and Storage," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(3), pages 1389-1424.
  • Handle: RePEc:oup:restud:v:85:y:2018:i:3:p:1389-1424.
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    File URL: http://hdl.handle.net/10.1093/restud/rdx061
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    1. Efficient Risk Sharing with Limited Commitment and Storage
      by Christian Zimmermann in NEP-DGE blog on 2013-07-14 08:58:49

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    3. Costas Meghir & Ahmed Mushfiq Mobarak & Ahmed Corina Mommaerts & Ahmed Melanie Morten, 2019. "Migration and Informal Insurance," Cowles Foundation Discussion Papers 2185, Cowles Foundation for Research in Economics, Yale University.
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    9. Li, Zhimin & Ligon, Ethan, 2020. "Inferring informal risk-sharing regimes: Evidence from rural Tanzania," Journal of Economic Behavior & Organization, Elsevier, vol. 177(C), pages 941-955.
    10. Juan Daniel Hernandez & Fernando Jaramillo & Hubert Kempf & Fabien Moizeau & Thomas Vendryes, 2023. "Limited Commitment, Social Control and Risk-Sharing Coalitions in Village Economies," Documents de recherche 23-03, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    11. Arthur Lewbel & Krishna Pendakur, 2022. "Inefficient Collective Households: Cooperation and Consumption," The Economic Journal, Royal Economic Society, vol. 132(645), pages 1882-1893.
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    More about this item

    Keywords

    Risk sharing; Limited commitment; Hidden storage; Dynamic contracts;
    All these keywords.

    JEL classification:

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

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    1. Efficient Risk Sharing with Limited Commitment and Storage (REStud 2018) in ReplicationWiki

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