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On the Recursive Saddle Point Method

  • Nicola Pavoni
  • Ramon Marimon

    ()

    (Economics Bocconi University)

  • Matthias Messner

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 Society for Economic Dynamics in its series 2005 Meeting Papers with number 294.

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Date of creation: 2005
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Handle: RePEc:red:sed005:294
Contact details of provider: Postal: Society for Economic Dynamics Christian Zimmermann Economic Research Federal Reserve Bank of St. Louis PO Box 442 St. Louis MO 63166-0442 USA
Fax: 1-314-444-8731
Web page: http://www.EconomicDynamics.org/society.htm
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  1. Marcet, A. & Marimon, R., 1998. "Recursive Contracts," Economics Working Papers eco98/37, European University Institute.
  2. Thomas Cooley & Ramon Marimon & Vicenzo Quadrini, 1999. "Aggregate consequences of limited contract enforceability," Economics Working Papers 843, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 2003.
  3. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
  4. Aubhik Khan & Robert G. King & Alexander L. Wolman, 2000. "Optimal monetary policy," Working Paper 00-10, Federal Reserve Bank of Richmond.
  5. 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).
  6. Hanno Lustig & Stijn Van Nieuwerburgh, 2002. "Housing Collateral, Consumption Insurance and Risk Premia," Macroeconomics 0211008, EconWPA.
  7. Christopher Phelan & Ennio Stacchetti, 2001. "Sequential Equilibria in a Ramsey Tax Model," Econometrica, Econometric Society, vol. 69(6), pages 1491-1518, November.
  8. 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.
  9. Christopher Phelan & Robert M Townsend, 2010. "Computing Multi-Period, Information Constrained Optima," Levine's Working Paper Archive 117, David K. Levine.
  10. Ethan Ligon & Jonathan P. Thomas & Tim Worrall, 1998. "Mutual Insurance, Individual Savings and Limited Commitment," Keele Department of Economics Discussion Papers (1995-2001) 98/14, Department of Economics, Keele University.
  11. Abraham, Arpad & Pavoni, Nicola, 2004. "Efficient Allocations with Moral Hazard and Hidden Borrowing and Lending," Working Papers 04-05, Duke University, Department of Economics.
  12. Albert Marcet & Ramon Marimon, 1991. "Communication, commitment and growth," Economics Working Papers 1, Department of Economics and Business, Universitat Pompeu Fabra.
  13. Rui Albuquerque & Hugo A. Hopenhayn, 2004. "Optimal Lending Contracts and Firm Dynamics," Review of Economic Studies, Wiley Blackwell, vol. 71(2), pages 285-315, 04.
  14. Ezra Friedman, 1998. "Risk Sharing and the Dynamics of Inequality," Discussion Papers 1235, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  15. 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.
  16. 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.
  17. 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.
  18. Robert E. Lucas Jr. & Nancy L. Stokey, 1982. "Optimal Fiscal and Monetary Policy in an Economy Without Capital," Discussion Papers 532, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  19. 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.
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