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Non-concavity problems in the dynamic macroeconomic models: A note

  • Hiraguchi, Ryoji

This note provides a method to convert the dynamic models in Cysne [Cysne, Rubens P., 2006. A note on the non-convexity problem in some shopping-time and human-capital models. Journal of Banking and Finance 30 (10), 2737-2745] and in Cysne [Cysne, Rubens P., 2008. A note on "inflation and welfare". Journal of Banking and Finance 32 (9), 1984-1987] to concave optimization problems. We do this by introducing new control and state variables in the models. Cysne (2006, 2008) restrict attention to continuous time models and derive parametric conditions to use Arrow's sufficiency theorem. When the sufficient conditions presented in Cysne (2006) are satisfied (but not under the sharper sufficient conditions presented in Cysne (2008)) we can rewrite these models as concave optimization problems even if time is discrete.

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Article provided by Elsevier in its journal Journal of Banking & Finance.

Volume (Year): 33 (2009)
Issue (Month): 3 (March)
Pages: 568-572

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Handle: RePEc:eee:jbfina:v:33:y:2009:i:3:p:568-572
Contact details of provider: Web page: http://www.elsevier.com/locate/jbf

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  1. Stein, Jerome L., 2007. "United States current account deficits: A stochastic optimal control analysis," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1321-1350, May.
  2. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
  3. Antonio Ladron de Guevara & Salvador Ortigueira & Manuel Santos, 1995. "A Two-Sector Model of Endogenous Growth with Leisure," Working Papers 9503, Centro de Investigacion Economica, ITAM.
  4. Huang, Huaxiong & Milevsky, Moshe A., 2008. "Portfolio choice and mortality-contingent claims: The general HARA case," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2444-2452, November.
  5. Cysne, Rubens Penha, 2006. "A note on the non-convexity problem in some shopping-time and human-capital models," Journal of Banking & Finance, Elsevier, vol. 30(10), pages 2737-2745, October.
  6. Robert E. Lucas, Jr., 2000. "Inflation and Welfare," Econometrica, Econometric Society, vol. 68(2), pages 247-274, March.
  7. Harutaka Takahashi, 2008. "Optimal balanced growth in a general multi-sector endogenous growth model with constant returns," Economic Theory, Springer, vol. 37(1), pages 31-49, October.
  8. Parente, Stephen L & Prescott, Edward C, 1994. "Barriers to Technology Adoption and Development," Journal of Political Economy, University of Chicago Press, vol. 102(2), pages 298-321, April.
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