Tiempo, Población y Modelos de Crecimiento

Autores/as

  • Gaston Cayssials Facultad de Ciencias Económicas y de Administración-Universidad de la República-Uruguay

DOI:

https://doi.org/10.46661/revmetodoscuanteconempresa.3166

Palabras clave:

modelo de crecimiento de Mankiw-Romer-Weil, tiempo discreto, tiempo continuo, tasa de crecimiento de la población decreciente, velocidad de convergencia

Resumen

En este trabajo se presenta un análisis de las implicaciones que tiene sobre los modelos de crecimiento estándar asumir una hipótesis alternativa al crecimiento exponencial de la población y cómo la forma de modelizar el tiempo puede alterar el comportamiento dinámico de estos modelos. Se estudia también una extensión (en tiempo continuo y en tiempo discreto) del modelo de crecimiento de Mankiw-Romer-Weil al apartarse del supuesto estándar de la tasa de crecimiento de la población constante. Más concretamente, se asume que esta tasa es decreciente en el tiempo y se introduce una ley general de crecimiento de la población que verifica esta característica. Con esta especificación, el modelo puede ser representado por un sistema dinámico de dimensión tres, que admite una única solución para cualquier condición inicial. Se muestra que existe un único equilibrio no trivial que es un atractor global. Además, se caracteriza a la velocidad de convergencia hacia el estado estacionario, mostrando que en este modelo la velocidad es inferior a la del modelo original de Mankiw-Romer-Weil.

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Publicado

2019-11-07

Cómo citar

Cayssials, G. (2019). Tiempo, Población y Modelos de Crecimiento. Revista De Métodos Cuantitativos Para La Economía Y La Empresa, 28, 278–300. https://doi.org/10.46661/revmetodoscuanteconempresa.3166

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