Euler Equation Branching
AbstractSome 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.
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Bibliographic InfoPaper provided by University of Delaware, Department of Economics in its series Working Papers with number 08-26.
Length: 23 pages
Date of creation: 2008
Date of revision:
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More information through EDIRC
global indeterminacy; Euler equation branching; multiple equilibria; cycles; chaos; increasing returns to scale; externality; regime switching;
Find related papers by JEL classification:
- E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
- E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
- E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-01-03 (All new papers)
- NEP-CBA-2009-01-03 (Central Banking)
- NEP-DGE-2009-01-03 (Dynamic General Equilibrium)
- NEP-MAC-2009-01-03 (Macroeconomics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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