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A two sector endogenous growth model with habit formation

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  • Hiraguchi, Ryoji

Abstract

In this paper, we study an endogenous growth model with physical and human capital in which consumption habits enter the utility function multiplicatively. We show that although the utility function with multiplicative habits is nonconcave and unbounded, an interior optimal growth path still exists, it is uniquely determined and it converges to a balanced growth path. We also find that habit formation in consumption lowers the convergence speed of the optimal path toward the balanced growth path.

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File URL: http://www.sciencedirect.com/science/article/B6V85-51JF804-1/2/830e467a6d0d6744777b56c384e62e43
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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 35 (2011)
Issue (Month): 4 (April)
Pages: 430-441

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Handle: RePEc:eee:dyncon:v:35:y:2011:i:4:p:430-441

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Web page: http://www.elsevier.com/locate/jedc

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Keywords: Habit formation Economic growth Human capital;

References

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  1. Ryoji Hiraguchi, 2004. "Some Foundations for Multiplicative Habits Models," Economics Working Paper Archive 516, The Johns Hopkins University,Department of Economics.
  2. Carroll, Christopher D., 2000. "Solving consumption models with multiplicative habits," Economics Letters, Elsevier, vol. 68(1), pages 67-77, July.
  3. Diaz, Antonia & Pijoan-Mas, Josep & Rios-Rull, Jose-Victor, 2003. "Precautionary savings and wealth distribution under habit formation preferences," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1257-1291, September.
  4. Jones, Charles I, 1995. "Time Series Tests of Endogenous Growth Models," The Quarterly Journal of Economics, MIT Press, vol. 110(2), pages 495-525, May.
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  6. Chris Papageorgiou & Fidel Perez-Sebastian, 2007. "Is the Asymptotic Speed of Convergence a Good Proxy for the Transitional Growth Path?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(1), pages 1-24, 02.
  7. Carrasco, Raquel & Labeaga Azcona, J Maria & López-Salido, J David, 2002. "Consumption and Habits: Evidence from Panel Data," CEPR Discussion Papers 3520, C.E.P.R. Discussion Papers.
  8. 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.
  9. Michele Boldrin & Lawrence J. Christiano & Jonas D.M. Fisher, 1999. "Habit persistence, asset returns and the business cycles," Working Paper Series WP-99-14, Federal Reserve Bank of Chicago.
  10. Larry E. Jones & Rodolfo E. Manuelli & Henry E. Siu, 2005. "Fluctuations in Convex Models of Endogenous Growth II: Business Cycle Properties," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 805-828, October.
  11. Aldo Rustichini & Paolo Siconolfi, 2004. "Growth in economies with non convexities: sunspots and lottery equilibria," Economic Theory, Springer, vol. 24(3), pages 701-726, October.
  12. de la Fuente, Angel & Doménech, Rafael, 2000. "Human Capital In Growth Regressions: How Much Difference Does Data Quality Make?," CEPR Discussion Papers 2466, C.E.P.R. Discussion Papers.
  13. LE VAN, Cuong & MORHAIM, Lisa, 2001. "Optimal growth models with bounded or unbounded returns: a unifying approach," CORE Discussion Papers 2001034, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  15. Weder, Mark, 2000. "Can Habit Formation Solve the Consumption Anomaly in the Two-Sector Business Cycle Model?," Journal of Macroeconomics, Elsevier, vol. 22(3), pages 433-444, July.
  16. Duernecker, Georg, 2007. "Growth Effects of Consumption Jealousy in a Two-Sector Model," Economics Series 201, Institute for Advanced Studies.
  17. Mitra, Tapan & Nishimura, Kazuo, 2002. "Intertemporal Complementarity and Optimality: A Study of a Two-Dimensional Dynamical System," Working Papers 02-06, Cornell University, Center for Analytic Economics.
  18. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  19. Gómez Manuel A., 2007. "Equilibrium Efficiency in the Ramsey Model with Habit Formation," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 11(2), pages 1-34, May.
  20. LE VAN, Cuong & SAGLAM, H. Cagri, . "Optimal growth models and the Lagrange multiplier," CORE Discussion Papers RP -1748, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  21. 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.
  22. Jody Overland & Christopher D. Carroll & David N. Weil, 2000. "Saving and Growth with Habit Formation," American Economic Review, American Economic Association, vol. 90(3), pages 341-355, June.
  23. 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.
  24. Daniel Cohen & Marcelo Soto, 2007. "Growth and human capital: good data, good results," Journal of Economic Growth, Springer, vol. 12(1), pages 51-76, March.
  25. 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.
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Cited by:
  1. Gori, Luca & Sodini, Mauro, 2012. "Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes," MPRA Paper 35942, University Library of Munich, Germany.

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