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On the Recursive Saddle Point Method

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Matthias Messner
Nicola Pavoni

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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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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. Marcet, Albert & Marimon, Ramon, 1992. "Communication, commitment, and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 219-249, December. [Downloadable!] (restricted)
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  2. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93. [Downloadable!] (restricted)
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  3. Aubhik Khan & Robert G. King & Alexander L. Wolman, 2002. "Optimal Monetary Policy," NBER Working Papers 9402, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  4. Paul Klein & JosÈ-VÌctor RÌos-Rull, 2003. "Time-consistent optimal fiscal policy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(4), pages 1217-1245, November. [Downloadable!] (restricted)
  5. Christopher Phelan & Ennio Stacchetti, 2001. "Sequential Equilibria in a Ramsey Tax Model," Econometrica, Econometric Society, vol. 69(6), pages 1491-1518, November. [Downloadable!] (restricted)
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  6. Abraham, Arpad & Pavoni, Nicola, 2004. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending," Working Papers 04-05, Duke University, Department of Economics. [Downloadable!]
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  7. Cooley, Thomas F & Marimon, Ramon & Quadrini, Vincenzo, 2004. "Aggregate Consequences of Limited Contract Enforceability," CEPR Discussion Papers 4173, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  8. S. Rao Aiyagari & Albert Marcet & Thomas J. Sargent & Juha Seppala, 2002. "Optimal Taxation without State-Contingent Debt," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1220-1254, December. [Downloadable!] (restricted)
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  9. Ezra Friedman, 1998. "Risk Sharing and the Dynamics of Inequality," Discussion Papers 1235, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  10. Ethan Ligon & Jonathan P. Thomas & Tim Worrall, 2000. "Mutual Insurance, Individual Savings and Limited Commitment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 216-246, April. [Downloadable!] (restricted)
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  11. Spear, Stephen E & Srivastava, Sanjay, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Blackwell Publishing, vol. 54(4), pages 599-617, October. [Downloadable!] (restricted)
  12. Gian Luca Clementi & Hugo Hopenhayn, 2002. "A Theory of Financing Constraints and Firm Dynamics," RCER Working Papers 492, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
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  13. Phelan, Christopher & Townsend, Robert M, 1991. "Computing Multi-period, Information-Constrained Optima," Review of Economic Studies, Blackwell Publishing, vol. 58(5), pages 853-81, October. [Downloadable!] (restricted)
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  14. 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. [Downloadable!] (restricted)
  15. Hanno Lustig & Stijn Van Nieuwerburgh, 2002. "Housing Collateral, Consumption Insurance and Risk Premia," Macroeconomics 0211008, EconWPA. [Downloadable!]
  16. Attanasio, Orazio & Rios-Rull, Jose-Victor, 2000. "Consumption smoothing in island economies: Can public insurance reduce welfare?," European Economic Review, Elsevier, vol. 44(7), pages 1225-1258, June. [Downloadable!] (restricted)
  17. Rui Albuquerque & Hugo Hopenhayn, 2002. "Optimal Lending Contracts and Firm Dynamics," RCER Working Papers 493, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
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  18. Albert Marcet & Ramon Marimon, 1994. "Recursive Contracts," Economics Working Papers 337, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 1998. [Downloadable!]
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  19. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May. [Downloadable!] (restricted)
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  1. Martin Bodenstein, 2006. "International asset markets and real exchange rate volatility," International Finance Discussion Papers 884, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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