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

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  • Hiraguchi, Ryoji

Abstract

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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  • Hiraguchi, Ryoji, 2009. "Non-concavity problems in the dynamic macroeconomic models: A note," Journal of Banking & Finance, Elsevier, vol. 33(3), pages 568-572, March.
    • Handle: RePEc:eee:jbfina:v:33:y:2009:i:3:p:568-572
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    1. Hiraguchi, Ryoji, 2009. "A note on the closed-form solution to the Lucas-Uzawa model with externality," Journal of Economic Dynamics and Control, Elsevier, vol. 33(10), pages 1757-1760, October.
    2. La Torre, Davide & Marsiglio, Simone, 2010. "Endogenous technological progress in a multi-sector growth model," Economic Modelling, Elsevier, vol. 27(5), pages 1017-1028, September.
    3. Cysne, Rubens Penha & Turchick, David, 2009. "On the integrability of money-demand functions by the Sidrauski and the shopping-time models," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1555-1562, September.
    4. Hiraguchi, Ryoji, 2009. "A solution to the Lucas-Uzawa model with increasing returns to scale: Note," Economic Modelling, Elsevier, vol. 26(5), pages 831-834, September.

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