A necessary and sufficient condition for the existence of chaotic dynamics in a neoclassical growth model with a pollution effect
General Economics
2023-11-08 v1 Economics
Abstract
In this paper, we study a neoclassical growth model with a (productivity inhibiting) pollution effect. In particular, we obtain a necessary and sufficient condition for the existence of a topological chaos. We investigate how the condition changes as the strength of the pollution effect changes. This is a new application of a recent result characterising the existence of a topological chaos for a unimodal interval map by Deng, Khan, Mitra (2022).
Keywords
Cite
@article{arxiv.2311.03594,
title = {A necessary and sufficient condition for the existence of chaotic dynamics in a neoclassical growth model with a pollution effect},
author = {Tomohiro Uchiyama},
journal= {arXiv preprint arXiv:2311.03594},
year = {2023}
}