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  • Noah Williams

    (Princeton University)

Abstract

This paper studies the design of optimal contracts in dynamic environments where agents' private information is persistent. In particular, I focus on a continuous time version of an insurance problem similar to Green (1987) and Thomas and Worall (1990), where a risk averse agent would like to borrow from a risk neutral lender to stabilize his income stream. The income stream is private information to the borrower and is persistent. I show that a first order approach to contracting applies, and this allows me to characterize the optimal contract.

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Bibliographic Info

Paper provided by Society for Economic Dynamics in its series 2007 Meeting Papers with number 158.

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Date of creation: 2007
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Handle: RePEc:red:sed007:158

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References

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  1. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2002. "Optimal Indirect and Capital Taxation," Levine's Working Paper Archive 391749000000000449, David K. Levine.
  2. Costas Meghir & Luigi Pistaferri, 2001. "Income variance dynamics and heterogenity," IFS Working Papers W01/07, Institute for Fiscal Studies.
  3. Kjetil Storesletten & Chris I. Telmer & Amir Yaron, 2004. "Cyclical Dynamics in Idiosyncratic Labor Market Risk," Journal of Political Economy, University of Chicago Press, vol. 112(3), pages 695-717, June.
  4. Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
  5. Zhang, Yuzhe, 2009. "Dynamic Contracting with Persistent Shocks," MPRA Paper 23108, University Library of Munich, Germany.
  6. Stefania Albanesi & Christopher Sleet, 2006. "Dynamic Optimal Taxation with Private Information," Review of Economic Studies, Oxford University Press, vol. 73(1), pages 1-30.
  7. Mikhail Golosov & Aleh Tsyvinski, 2004. "Designing Optimal Disability Insurance: A Case for Asset Testing," NBER Working Papers 10792, National Bureau of Economic Research, Inc.
  8. Noah Williams, 2004. "On Dynamic Principal-Agent Problems in Continuous Time," Levine's Bibliography 122247000000000426, UCLA Department of Economics.
  9. Biais, Bruno & Mariotti, Thomas & Plantin, Guillaume & Rochet, Jean Charles, 2004. "Dynamic Security Design," CEPR Discussion Papers 4753, C.E.P.R. Discussion Papers.
  10. Bruno Biais & Thomas Mariotti & Guillaume Plantin & Jean-Charles Rochet, 2007. "Dynamic Security Design: Convergence to Continuous Time and Asset Pricing Implications," Review of Economic Studies, Oxford University Press, vol. 74(2), pages 345-390.
  11. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June.
  12. Narayana R Kocherlakota & Luigi Pistaferri, 2005. "Asset Pricing Implications of Pareto Optimality with Private Information," Levine's Bibliography 784828000000000507, UCLA Department of Economics.
  13. Abraham, Arpad & Pavoni, Nicola, 2004. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending," Working Papers 04-05, Duke University, Department of Economics.
  14. Marek Kapicka, 2013. "Efficient Allocations in Dynamic Private Information Economies with Persistent Shocks: A First-Order Approach," Review of Economic Studies, Oxford University Press, vol. 80(3), pages 1027-1054.
  15. Marco Battaglini, 2003. "Long-Term Contracting with Markovian Consumers," Theory workshop papers 505798000000000048, UCLA Department of Economics.
  16. Andrew Atkeson & Robert E Lucas, 2010. "On Efficient Distribution with Private Information," Levine's Working Paper Archive 2179, David K. Levine.
  17. Thomas, Jonathan & Worrall, Tim, 1990. "Income fluctuation and asymmetric information: An example of a repeated principal-agent problem," Journal of Economic Theory, Elsevier, vol. 51(2), pages 367-390, August.
  18. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
  19. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-67, November.
  20. Spear, Stephen E & Srivastava, Sanjay, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Wiley Blackwell, vol. 54(4), pages 599-617, October.
  21. Dilip Abreu & David Pearce & Ennio Stacchetti, 1997. "Optimal Cartel Equilibria with Imperfect monitoring," Levine's Working Paper Archive 632, David K. Levine.
  22. Kydland, Finn E. & Prescott, Edward C., 1980. "Dynamic optimal taxation, rational expectations and optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 79-91, May.
  23. PETER M. DeMARZO & YULIY SANNIKOV, 2006. "Optimal Security Design and Dynamic Capital Structure in a Continuous-Time Agency Model," Journal of Finance, American Finance Association, vol. 61(6), pages 2681-2724, December.
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Cited by:
  1. Jovanovic, Boyan & Prat, Julien, 0. "Dynamic contracts when agent'’s quality is unknown," Theoretical Economics, Econometric Society.
  2. Hengjie Ai & Rui Li, 2012. "Moral hazard, investment, and firm dynamics," CQER Working Paper 2012-01, Federal Reserve Bank of Atlanta.
  3. Prat, Julien & Jovanovic, Boyan, 2010. "Dynamic Incentive Contracts under Parameter Uncertainty," IZA Discussion Papers 5323, Institute for the Study of Labor (IZA).
  4. Zhang, Yuzhe, 2009. "Dynamic Contracting with Persistent Shocks," MPRA Paper 23108, University Library of Munich, Germany.
  5. Giat, Yahel & Subramanian, Ajay, 2013. "Dynamic contracting under imperfect public information and asymmetric beliefs," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2833-2861.

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