Poverty traps and business cycles in a stochastic overlapping generations economy with S-shaped law of motion
AbstractThis paper contributes to the understanding of stochastic economic dynamics with S-shaped law of motion. Applying random dynamical systems theory, we obtain a complete analysis of a stochastic OLG growth model. In the long-run the economy converges either to a state with no capital (poverty trap) or a sample path of a random fixed point (business cycle). The threshold capital stock separating both regimes is a random variable that depends on the future realization of the shocks; this critical level cannot be identified using past observations. Supply of outside capital therefore has an uncertain effect. Policy recommendations are given which cannot be obtained employing Markov equilibria. A numerical illustration is provided.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Macroeconomics.
Volume (Year): 27 (2005)
Issue (Month): 2 (June)
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Web page: http://www.elsevier.com/locate/inca/622617
Other versions of this item:
- Klaus Reiner Schenk-Hoppé, 2002. "Poverty Traps and Business Cycles in a Stochastic Overlapping Generations Economy with S-shaped Law of Motion," Discussion Papers 02-13, University of Copenhagen. Department of Economics.
- E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
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- Klaus Reiner Schenk-Hoppé & Björn Schmalfuss, .
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