Euler Equation Branching
Some macroeconomic models exhibit a type of global indeterminacy known as Euler equation branching (e.g., the one-sector growth model with a production externality). The dynamics in such models are governed by a differential inclusion. In this paper, we show that in models with Euler equation branching there are multiple equilibria and that the dynamics are chaotic. In particular, we provide sufficient conditions for a dynamical system on the plane with Euler equation branching to be chaotic and show analytically that in a neighborhood of a steady state, these sufficient conditions will typically be satisfied. We also extend the results of Christiano and Harrison (JME, 1999) for the one-sector growth model with a production externality. In a more general setting, we provide necessary and sufficient conditions for Euler equation branching in this model. We show that chaotic and cyclic equilibria are possible and that this behavior is not dependent on the steady state being "locally" determinate or indeterminate.
|Date of creation:||2008|
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- Benhabib, Jess & Farmer, Roger E.A., 1995.
"Indeterminacy and Sector-Specific Externalities,"
95-02, C.V. Starr Center for Applied Economics, New York University.
- Roger E.A. Farmer, 1994. "Indeterminacy and Sector-Specific Externalities," UCLA Economics Working Papers 722, UCLA Department of Economics.
- Benhabib, Jess & Farmer, Roger E A, 1996. "Indeterminacy and Sector-specific Externalities," CEPR Discussion Papers 1403, C.E.P.R. Discussion Papers.
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- Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 1998.
"The Perils of Taylor Rules,"
98-37, C.V. Starr Center for Applied Economics, New York University.
- Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 1998. "The perils of Taylor Rules," Departmental Working Papers 199831, Rutgers University, Department of Economics.
- Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 1999. "The Perils of Taylor Rules," CEPR Discussion Papers 2314, C.E.P.R. Discussion Papers.
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"Fiscal policy, increasing returns, and endogenous fluctuations,"
Working Papers in Applied Economic Theory
99-08, Federal Reserve Bank of San Francisco.
- Guo, Jang-Ting & Lansing, Kevin J., 2002. "Fiscal Policy, Increasing Returns, And Endogenous Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(05), pages 633-664, November.
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95-44, Board of Governors of the Federal Reserve System (U.S.).
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