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

  • César L. Guerrero Luchtenberg Centro de Investigación y Docencia Económicas, A.C.
Keywords: macroeconomics, Guerrero-Luchtenberg theorem, discount factor
JEL Classification: C61, E32, O41

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.

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Published
01-01-2004
How to Cite
Guerrero LuchtenbergC. (2004). Chaos vs. patience in a macroeconomic model of capital accumulation: New applications of a uniform neighborhood turnpike theorem. Estudios Económicos, 19(1), 45-60. https://doi.org/10.24201/ee.v19i1.179
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