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Differentiability of the Efficient Frontier when Commitment to Risk Sharing is Limited

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  • Koeppl Thorsten V.

    ()
    (Department of Economics, Queen’s University, Kingston, Ontario)

Abstract

This paper shows that the value function describing efficient risk sharing with limited commitment is not necessarily differentiable everywhere. We link differentiability of the value function to history dependence of efficient allocations and provide sufficient conditions for both properties.

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Bibliographic Info

Article provided by De Gruyter in its journal The B.E. Journal of Macroeconomics.

Volume (Year): 6 (2006)
Issue (Month): 1 (April)
Pages: 1-6

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Handle: RePEc:bpj:bejmac:v:topics.6:y:2006:i:1:n:10

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  1. 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.
  2. Coate, Stephen & Ravallion, Martin, 1993. "Reciprocity without commitment : Characterization and performance of informal insurance arrangements," Journal of Development Economics, Elsevier, vol. 40(1), pages 1-24, February.
  3. Narayana Kocherlakota, 2010. "Implications of Efficient Risk Sharing Without Commitment," Levine's Working Paper Archive 2053, David K. Levine.
  4. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-32, May.
  5. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-98, May.
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Cited by:
  1. Manuel Santos & Juan Pablo Rincon-Zapatero, 2007. "Differentiability of the Value Function without Interiority Assumptions," Working Papers 0704, University of Miami, Department of Economics.
  2. Tessa Bold, 2008. "Implications of Endogenous Group Formation for Efficient Risk-Sharing," Economics Series Working Papers 387, University of Oxford, Department of Economics.
  3. Carmona, Guilherme, 2006. "On the Optimality of the Equality Matching Form of Sociality," FEUNL Working Paper Series wp489, Universidade Nova de Lisboa, Faculdade de Economia.
  4. Dubois, P. & Jullien, B. & Magnac, T., 2006. "Formal and informal risk sharing in LDCs : theory and empirical evidence," Economics Working Paper Archive (Toulouse) 200608, French Institute for Agronomy Research (INRA), Economics Laboratory in Toulouse (ESR Toulouse).
  5. Huang, Pidong, 2013. "Optimal Unemployment Insurance With Different Types of Job," MPRA Paper 46626, University Library of Munich, Germany.
  6. William Fuchs & Francesco Lippi, 2004. "Monetary union with voluntary participation," Temi di discussione (Economic working papers) 512, Bank of Italy, Economic Research and International Relations Area.
  7. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692083.

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