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Some foundations for multiplicative habits models

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Author Info
Hiraguchi, Ryoji

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Abstract

Consumption models with multiplicative habits are becoming increasingly popular. However, mathematical foundations of such models are incomplete because the utility function with multiplicative habits is not concave. This paper shows that an optimal consumption path exists and it satisfies the first order conditions. The paper also shows that when the production function is linear, consumption growth rate along the optimal path converges to a positive constant under several parametric restrictions.

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File URL: http://www.sciencedirect.com/science/article/B6X4M-4P61N3W-2/2/c0e59f86a573d8056b3cd31515813ff3
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Publisher Info
Article provided by Elsevier in its journal Journal of Macroeconomics.

Volume (Year): 30 (2008)
Issue (Month): 3 (September)
Pages: 873-884
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Handle: RePEc:eee:jmacro:v:30:y:2008:i:3:p:873-884

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Web page: http://www.elsevier.com/locate/inca/622617

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Benhabib, Jess & Nishimura, Kazuo, 1983. "Competitive Equilibrium Cycles," Working Papers 83-30, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  2. Christopher D. Carroll & Jody Overland & David N. Weil, 2000. "Saving and Growth with Habit Formation," American Economic Review, American Economic Association, vol. 90(3), pages 341-355, June. [Downloadable!] (restricted)
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  3. Alonso-Carrera, Jaime & Caballe, Jordi & Raurich, Xavier, 2005. "Growth, habit formation, and catching-up with the Joneses," European Economic Review, Elsevier, vol. 49(6), pages 1665-1691, August. [Downloadable!] (restricted)
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  4. Juan Pablo RincÛn-Zapatero & Carlos RodrÌguez-Palmero, 2003. "Existence and Uniqueness of Solutions to the Bellman Equation in the Unbounded Case," Econometrica, Econometric Society, vol. 71(5), pages 1519-1555, 09. [Downloadable!] (restricted)
  5. Francisco Alvarez-Cuadrado & Goncalo Monteiro & Stephen J. Turnovsky, 2004. "Habit Formation, Catching Up with the Joneses, and Economic Growth," Journal of Economic Growth, Springer, vol. 9(1), pages 47-80, 03. [Downloadable!]
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  6. Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August. [Downloadable!] (restricted)
  7. Christopher D Carroll, 2000. "Solving Consumption Models with Multiplicative Habits," Economics Working Paper Archive 421, The Johns Hopkins University,Department of Economics. [Downloadable!]
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