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

  • Koeppl Thorsten V.


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

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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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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