Over-exploitation of open-access natural resources and global indeterminacy in an economic growth model
AbstractIn this paper we use global analysis techniques to investigate an economic growth model with environmental negative externalities, giving rise to a three-dimensional dynamic system (the framework is the one introduced by Wirl (1997)). The dynamics of our model admits a locally attracting steady state which is, in fact, a poverty trap, coexisting with another steady state possessing saddle-point stability. Global dynamical analysis shows that, under some conditions on the parameters, if the economy state variables are close enough to those of the attractive point, then there exists a continuum of equilibrium orbits approaching the poverty trap and one orbit approaching the saddle-point.
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Bibliographic InfoPaper provided by Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa in its series Working Papers - Mathematical Economics with number 2009-05.
Length: 27 pages
Date of creation: Oct 2009
Date of revision:
environmental externalities; indeterminacy; history versus expectations; global analysis of dynamic systems;
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
- E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
- O13 - Economic Development, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-10-17 (All new papers)
- NEP-ENE-2009-10-17 (Energy Economics)
- NEP-ENV-2009-10-17 (Environmental Economics)
- NEP-FDG-2009-10-17 (Financial Development & Growth)
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.:
- Costanza, Robert & Perrings, Charles, 1990. "A flexible assurance bonding system for improved environmental management," Ecological Economics, Elsevier, vol. 2(1), pages 57-75, April.
- Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, January.
- Perrings, Charles, 1989. "Environmental bonds and environmental research in innovative activities," Ecological Economics, Elsevier, vol. 1(1), pages 95-110, February.
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