Productive public expenditures, expectation formations and nonlinear dynamics
AbstractIn this paper, we investigate the dynamic properties of an overlapping generations' model with capital accumulation and publicly funded inventions under three different expectations: perfect foresight, myopic expectations and adaptive expectations. We show that considering productive public expenditures in the model will increase the dimension of the dynamical system. To study the dynamic behavior of a high-dimensional dynamical system, we focus on the case when the elasticity of publicly funded invention to output is small and approximate the system by using a one-dimensional dynamical system. This approximation method provides an efficient way to rigorously prove the existence of chaos in high-dimensional dynamical systems. We show that when agents are perfectly foresighted, there exists a unique, nontrivial steady state which is a global attractor. Cycles or even chaos may occur under myopic and adaptive expectations when the inter-temporal elasticity of substitution of consumption is large enough. Furthermore, we find that the impact of fiscal policy is sensible to the expectation formation.
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Bibliographic InfoArticle provided by Elsevier in its journal Mathematical Social Sciences.
Volume (Year): 56 (2008)
Issue (Month): 1 (July)
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Web page: http://www.elsevier.com/locate/inca/505565
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- Chen, Hung-Ju & Li, Ming-Chia, 2008. "Chaotic dynamics in a monetary economy with habit persistence," Journal of Economic Behavior & Organization, Elsevier, vol. 65(2), pages 245-260, February.
- Jean-Michel Grandmont, 1997.
"Expectations Formation and Stability of Large Socioeconomic Systems,"
97-27, Centre de Recherche en Economie et Statistique.
- Jean-Michel Grandmont, 1998. "Expectations Formation and Stability of Large Socioeconomic Systems," Econometrica, Econometric Society, vol. 66(4), pages 741-782, July.
- Grandmont, Jean-Michel, 1994. "Expectations formation and stability of large socioeconomic systems," CEPREMAP Working Papers (Couverture Orange) 9424, CEPREMAP.
- GRANDMONT, Jean-Michel, 1997. "Expectations formation and stability of large socioeconomic systems," CORE Discussion Papers 1997088, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Onozaki, Tamotsu & Sieg, Gernot & Yokoo, Masanori, 2003. "Stability, chaos and multiple attractors: a single agent makes a difference," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1917-1938, August.
- William A. Brock & Cars H. Hommes, 1997.
"A Rational Route to Randomness,"
Econometric Society, vol. 65(5), pages 1059-1096, September.
- Robert J. Barro, 1988.
"Government Spending in a Simple Model of Endogenous Growth,"
NBER Working Papers
2588, National Bureau of Economic Research, Inc.
- Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages S103-26, October.
- Barro, R.J., 1988. "Government Spending In A Simple Model Of Endogenous Growth," RCER Working Papers 130, University of Rochester - Center for Economic Research (RCER).
- Barro, Robert J., 1990. "Government Spending in a Simple Model of Endogeneous Growth," Scholarly Articles 3451296, Harvard University Department of Economics.
- Jovanovic, Boyan & Nyarko, Yaw, 1995.
"The transfer of human capital,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 19(5-7), pages 1033-1064.
- Michel P. & de la Croix, D., 1999.
"Myopic and Perfect Foresight in the OLG Model,"
99a35, Universite Aix-Marseille III.
- Michel, Philippe & de la Croix, David, 1999. "Myopic and perfect foresight in the OLG model," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1999014, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Carl Chiarella & Xue-Zhong He, 2001.
"Dynamics of Beliefs and Learning Under aL Processes - The Heterogeneous Case,"
Research Paper Series
55, Quantitative Finance Research Centre, University of Technology, Sydney.
- Chiarella, Carl & He, Xue-Zhong, 2003. "Dynamics of beliefs and learning under aL-processes -- the heterogeneous case," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 503-531, January.
- Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
- Paul M Romer, 1999.
"Endogenous Technological Change,"
Levine's Working Paper Archive
2135, David K. Levine.
- Hommes, Cars H., 1994. "Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 315-335, August.
- Karl Shell, 2010. "Toward A Theory of Inventive Activity and Capital Accumulation," Levine's Working Paper Archive 1407, David K. Levine.
- Antinolfi, Gaetano & Keister, Todd & Shell, Karl, 2001. "Growth Dynamics and Returns to Scale: Bifurcation Analysis," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 70-96, January.
- Grandmont, Jean-Michel, 1985.
"On Endogenous Competitive Business Cycles,"
Econometric Society, vol. 53(5), pages 995-1045, September.
- Michele Longo & Vincenzo Valori, 2001. "Existence and stability of equilibria in OLG models under adaptive expectations," Working Papers - Mathematical Economics 2001-01, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
- de Vilder, Robin, 1996. "Complicated Endogenous Business Cycles under Gross Substitutability," Journal of Economic Theory, Elsevier, vol. 71(2), pages 416-442, November.
- Gustav Feichtinger & Cars Hommes & Alexandra Milik, 1997. "Chaotic consumption patterns in a simple2-D addiction model," Economic Theory, Springer, vol. 10(1), pages 147-173.
- Chiarella, Carl, 1988. "The cobweb model: Its instability and the onset of chaos," Economic Modelling, Elsevier, vol. 5(4), pages 377-384, October.
- Yokoo, Masanori, 2000. "Chaotic dynamics in a two-dimensional overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 909-934, June.
- Galor, Oded & Ryder, Harl E., 1989. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Journal of Economic Theory, Elsevier, vol. 49(2), pages 360-375, December.
- Mitra, Tapan, 2001. "A Sufficient Condition for Topological Chaos with an Application to a Model of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 133-152, January.
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