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An Adverse Selection Model of Optimal Unemployment Insurance

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  • Marcus Hagedorn
  • Ashok Kaul

Abstract

We derive the shape of optimal unemployment insurance (UI) contracts when agents can exert search effort but face different search costs and have private information about their type. We derive a recursive solution of our dynamic adverse selection problem with repeated moral hazard. Conditions under which the UI agency should always offer separating contracts are identified. We show that the good searcher receives an information rent and that the bad searcher receives the minimal entitlement. From a methodological point of view, we achieve a precise characterization of the sets of jointly feasible entitlements. This allows us to map our analytical results one-to-one to a numerical algorithm. According to our results the contract for the good searcher has a decreasing benefit profile, as the one he would be offered in a pure moral hazard environment. In contrast, the contract of the bad searcher is distorted by an adverse selection effect, so that it tends to have an upward-sloping benefit profile. We provide a comparative static analysis of changes in various parameters of our model.

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Bibliographic Info

Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2004 with number 154.

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Date of creation: 11 Aug 2004
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Handle: RePEc:sce:scecf4:154

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Keywords: Unemployment Insurance; Recursive Contracts; Adverse Selection; Repeated Moral Hazard;

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References

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  1. Fredriksson, Peter & Holmlund, Bertil, 2003. "Improving incentives in unemployment insurance: A review of recent research," Working Paper Series 2003:5, IFAU - Institute for Evaluation of Labour Market and Education Policy.
  2. Hassler, John & Rodriguez Mora, José V., 2002. "Should UI Benefits Really Fall Over Time?," IZA Discussion Papers 622, Institute for the Study of Labor (IZA).
  3. Rothschild, Michael & Stiglitz, Joseph E, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, MIT Press, vol. 90(4), pages 630-49, November.
  4. Doepke, Matthias & Townsend, Robert M, 2004. "Dynamic Mechanism Design with Hidden Income and Hidden Auctions," CEPR Discussion Papers 4455, C.E.P.R. Discussion Papers.
  5. Marcus Hagedorn & Ashok Kaul & Tim Mennel, 2007. "An Adverse Selection Model of Optimal Unemployment Insurance," IEW - Working Papers 315, Institute for Empirical Research in Economics - University of Zurich.
  6. Hopenhayn, H. & Nicolini, P.J., 1996. "Optimal Unemployment Insurance," RCER Working Papers 421, University of Rochester - Center for Economic Research (RCER).
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  9. Bruce D. Meyer, 1988. "Unemployment Insurance And Unemployment Spells," NBER Working Papers 2546, National Bureau of Economic Research, Inc.
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  17. Andrew Atkeson & Robert E Lucas, 2010. "On Efficient Distribution with Private Information," Levine's Working Paper Archive 2179, David K. Levine.
  18. Jullien, Bruno, 1997. "Participation Constraints in Adverse Selection Models," IDEI Working Papers 67, Institut d'Économie Industrielle (IDEI), Toulouse.
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  25. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-63, September.
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Cited by:
  1. O'Flaherty, Brendan, 2009. "When should homeless families get subsidized apartments? A theoretical inquiry," Journal of Housing Economics, Elsevier, vol. 18(2), pages 69-80, June.
  2. Marcus Hagedorn & Ashok Kaul & Tim Mennel, . "An Adverse Selection Model of Optimal Unemployment Insurance," IEW - Working Papers 237, Institute for Empirical Research in Economics - University of Zurich.
  3. 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.
  4. David Fuller, 2008. "Adverse Selection and Moral Hazard: Quanitative Implications for Unemployment Insurance," 2008 Meeting Papers 889, Society for Economic Dynamics.
  5. Jean-Olivier Hairault & François Langot & Sébastien Ménard & Thepthida Sopraseuth, 2012. "Optimal Unemployment Insurance for Older Workers," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00668989, HAL.
  6. Laun, Tobias, 2012. "Optimal Social Insurance with Endogenous Health," Working Paper Series in Economics and Finance 742, Stockholm School of Economics, revised 28 Apr 2012.
  7. Anne Bucher & Sébastien Ménard, 2010. "Employment Protection Legislation and Adverse Selection at the Labor Market Entry," Working Papers halshs-00812099, HAL.

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