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Some foundations for multiplicative habits models

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  • Hiraguchi, Ryoji

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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Bibliographic 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

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  1. 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.
  2. Jaime Alonso-Carrera & Jordi Caball?Author-Email: jordi.caballe@uab.es & Xavier Raurich, . "Growth, Habit Formation, and Catching-up\ with the Joneses," UFAE and IAE Working Papers 497.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  3. Christopher D Carroll, 2000. "Solving Consumption Models with Multiplicative Habits," Economics Working Paper Archive 421, The Johns Hopkins University,Department of Economics.
  4. Takashi Kamihigashi, 2001. "A Simple Proof of the Necessity of the Transversality Condition," Discussion Paper Series 116, Research Institute for Economics & Business Administration, Kobe University.
  5. Christopher D Carroll & Jody Overland & David N Weil, 1997. "Comparison Utility in a Growth Model," Economics Working Paper Archive 387, The Johns Hopkins University,Department of Economics.
  6. Christopher D. Carroll & Jody Overland & David N. Weil, 1995. "Saving and growth with habit formation," Finance and Economics Discussion Series 95-42, Board of Governors of the Federal Reserve System (U.S.).
  7. 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.
  8. Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August.
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Cited by:
  1. Hiraguchi, Ryoji, 2011. "A two sector endogenous growth model with habit formation," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 430-441, April.
  2. Manuel Gómez, 2010. "A note on external habits and efficiency in the AK model," Journal of Economics, Springer, vol. 99(1), pages 53-64, February.
  3. Gomez Suarez, Manuel A., 2008. "Utility and production externalities, equilibrium efficiency and leisure specification," Journal of Macroeconomics, Elsevier, vol. 30(4), pages 1496-1519, December.
  4. Gómez Manuel A., 2010. "Endogenous Growth, Habit Formation and Convergence Speed," The B.E. Journal of Macroeconomics, De Gruyter, vol. 10(1), pages 1-32, January.

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