A necessary and sufficient condition for the existence of chaotic dynamics in a neoclassical growth model with a pollution effect

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. Thi...

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Bibliographic Details
Published in:arXiv.org 2023-11
Main Author: Uchiyama, Tomohiro
Format: Article
Language:English
Subjects:
Topology
Online Access:Get full text
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Summary: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).
ISSN:2331-8422