Chaos vs. patience in a macroeconomic model of capital accumulation: New applications of a uniform neighborhood turnpike theorem

César L. Guerrero-Luchtenberg
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César L. Guerrero-Luchtenberg: Centro de Investigación y Docencia Económicas

Estudios Económicos, 2004, vol. 19, issue 1, 45-60

Abstract: We present in this paper some new results on the strong incompatibility between chaos and patience in a macroeconomic model of capital accumulation. These results are explicit and non-trivial applications of the general theorem proven in Guerrero-Luchtenberg (2000), in which the statement (theorem 2) ‘chaos vanishes as the discount factor tends to one’, is formally presented. Here, we show precisely how this statement applies to some important indicators of chaos not analyzed before. Furthermore, we will show that, for a given family of optimal growth models, there is a bound on the discount factor such that any type of chaos is negligible.

Date: 2004
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