Poverty trap and global indeterminacy in a growth model with open-access natural resources
Abstract
In this paper we use global analysis techniques to analyze 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) [53]). The dynamics of our model admits a locally attracting stationary state , which is, in fact, a poverty trap, coexisting with another stationary state possessing saddle-point stability. Global dynamical analysis shows that, under some conditions on the parameters, if the initial values of the state variables are close enough to the coordinates of , then there exists a continuum of equilibrium trajectories approaching and one trajectory approaching . Therefore, our model exhibits global indeterminacy, since either or can be selected according to agent expectations. Moreover, we prove that conditions guaranteeing the attractivity of also imply the saddle-point stability of . However, when is not attractive, numerical simulations show the possible existence of one or two limit cycles: an attractive one surrounding and one endowed with a two-dimensional stable manifold surrounding .Download Info
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Bibliographic Info
Article provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 146 (2011)
Issue (Month): 2 (March)
Pages: 569-591
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Web page: http://www.elsevier.com/locate/inca/622869
Related research
Keywords: Global and local indeterminacy Poverty trap Environmental externalities History versus expectations Open-access natural resources;References
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Angelo Antoci & Marcello Galeotti & Paolo Russu, 2012.
"Global Analysis and Indeterminacy in a Two-sector Growth Model with Human Capital,"
Working Papers Series
wp2012_14.rdf, Universita' degli Studi di Firenze, Dipartimento di Scienze dell'Economia e Dell'Impresa.
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- Gori, Luca & Sodini, Mauro, 2011.
"Nonlinear dynamics in an OLG growth model with young and old age labour supply: the role of public health expenditure,"
MPRA Paper
28180, University Library of Munich, Germany.
- Luca Gori & Mauro Sodini, 2011. "Nonlinear Dynamics in an OLG Growth Model with Young and Old Age Labour Supply: The Role of Public Health Expenditure," Computational Economics, Society for Computational Economics, vol. 38(3), pages 261-275, October.
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