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On the Recursive Saddle Point Method

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  • Matthias Messner
  • Nicola Pavoni

Abstract

In this paper a simple dynamic optimization problem is solved with the help of the recursive saddle point method developed by Marcet and Marimon (1999). According to Marcet and Marimon, their technique should yield a full characterization of the set of solutions for this problem. We show though, that while their method allows us to calculate the true value of the optimization program, not all solutions which it admits are correct. Indeed, some of the policies which it generates as solutions to our problem, are either suboptimal or do not even satisfy feasibility. We identify the reasons underlying this failure and discuss its implications for the numerous existing applications.

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Bibliographic Info

Paper provided by IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University in its series Working Papers with number 255.

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Date of creation: 2004
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Handle: RePEc:igi:igierp:255

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  1. Aubhik Khan & Robert King & Alexander L. Wolman, 2002. "Optimal monetary policy," Working Papers 02-19, Federal Reserve Bank of Philadelphia.
  2. Gian Luca Clementi & Hugo Hopenhayn, . "A Theory of Financing Constraints and Firm Dynamics," GSIA Working Papers 2002-E9, Carnegie Mellon University, Tepper School of Business.
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  7. Abraham, Arpad & Pavoni, Nicola, 2004. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending," Working Papers 04-05, Duke University, Department of Economics.
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  10. Thomas Cooley & Ramon Marimon & Vincenzo Quadrini, 2003. "Aggregate Consequences of Limited Contract Enforceability," NBER Working Papers 10132, National Bureau of Economic Research, Inc.
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  14. Phelan, C. & Townsend, R.M., 1990. "Computing Multiperiod, Information-Constrained Optima," University of Chicago - Economics Research Center 90-13, Chicago - Economics Research Center.
  15. Albert Marcet & Thomas J. Sargent & Juha Seppala, 1996. "Optimal taxation without state-contingent debt," Economics Working Papers 170, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 2001.
  16. Chang, Roberto, 1998. "Credible Monetary Policy in an Infinite Horizon Model: Recursive Approaches," Journal of Economic Theory, Elsevier, vol. 81(2), pages 431-461, August.
  17. Hanno Lustig & Stijn Van Nieuwerburgh, 2002. "Housing Collateral, Consumption Insurance and Risk Premia," Macroeconomics 0211008, EconWPA.
  18. 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.
  19. Ezra Friedman, 1998. "Risk Sharing and the Dynamics of Inequality," Discussion Papers 1235, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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