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Growth, Habit Formation, and Catching-up\ with the Joneses

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  • Jaime Alonso-Carrera
  • Jordi Caball?Author-Email: jordi.caballe@uab.es
  • Xavier Raurich

Abstract

When habits are introduced multiplicatively in a capital accumulation model, the consumers' objective function might fail to be concave. In this paper we provide conditions aimed at guaranteeing the existence of interior solutions to the consumers' problem. We also characterize the equilibrium path of two growth models with multiplicative habits: the internal habit formation model, where individual habits coincide with own past consumption, and the external habit formation (or catching-up with the Joneses) model, where habits arise from the average past consumption in the economy. We show that the introduction of external habits makes the equilibrium path inefficient during the transition towards the balanced growth path. We characterize in this context the optimal tax policy.

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Paper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 497.01.

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Handle: RePEc:aub:autbar:497.01

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Keywords: endogenous growth; habit formation; consumption externalities; optimal taxation.;

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  1. Kenneth L. Judd, 1982. "Redistributive Taxation in a Simple Perfect Foresight Model," Discussion Papers 572, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Andrew B. Abel, 1998. "Risk Premia and Term Premia in General Equilibrium," NBER Working Papers 6683, National Bureau of Economic Research, Inc.
  3. Jaime Alonso-Carrera & Jordi Caballé & Xavier Raurich, 2004. "Consumption Externalities, Habit Formation and Equilibrium Efficiency," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(2), pages 231-251, 06.
  4. Lettau, M. & Uhlig, H., 1995. "Can Habit Formation be Reconciled with Business Cycle Facts?," Discussion Paper 1995-54, Tilburg University, Center for Economic Research.
  5. Carroll, Christopher D., 2000. "Solving consumption models with multiplicative habits," Economics Letters, Elsevier, vol. 68(1), pages 67-77, July.
  6. Andrew B. Abel, . "Asset Prices Under Habit Formation and Catching Up With the Jones," Rodney L. White Center for Financial Research Working Papers 1-90, Wharton School Rodney L. White Center for Financial Research.
  7. 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.
  8. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-22, May.
  9. Manishi Prasad & Peter Wahlqvist & Rich Shikiar & Ya-Chen Tina Shih, 2004. "A," PharmacoEconomics, Springer Healthcare | Adis, vol. 22(4), pages 225-244.
  10. Gali, J., 1992. "Keeping Up with the Joneses: Consumption Externalities, Portfolio Choice and Asset Prices," Papers 92-22, Columbia - Graduate School of Business.
  11. 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.
  12. Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-38, October.
  13. Harald Uhlig & Lars Ljungqvist, 2000. "Tax Policy and Aggregate Demand Management under Catching Up with the Joneses," American Economic Review, American Economic Association, vol. 90(3), pages 356-366, June.
  14. Jhy-yuan Shieh & Ching-chong Lai & Wen-ya Chang, 2000. "Addictive behavior and endogenous growth," Journal of Economics, Springer, vol. 72(3), pages 263-273, October.
  15. Jeffrey C. Fuhrer, 2000. "Habit Formation in Consumption and Its Implications for Monetary-Policy Models," American Economic Review, American Economic Association, vol. 90(3), pages 367-390, June.
  16. Walter Fisher & Franz Hof, 2000. "Relative consumption, economic growth, and taxation," Journal of Economics, Springer, vol. 72(3), pages 241-262, October.
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