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

IF 0.4 Q4 ECONOMICS

Economic Theory Bulletin Pub Date : 2024-04-09 DOI:10.1007/s40505-024-00264-y

Tomohiro Uchiyama

引用次数: 0

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 et al. (J Econ Theory 201:Article 105446, 2022).

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具有污染效应的新古典增长模型中混沌动力学存在的必要条件和充分条件

在本文中，我们研究了一个具有（生产率抑制）污染效应的新古典增长模型。特别是，我们得到了拓扑混沌存在的必要条件和充分条件。我们研究了该条件如何随着污染效应强度的变化而变化。这是 Deng 等（《经济理论》201:第 105446 期，2022 年）最近关于单模态区间图存在拓扑混沌的结果的新应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Economic Theory Bulletin ECONOMICS-

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期刊介绍： The purpose of Economic Theory Bulletin is to provide an outlet for research in all areas of Economics based on rigorous theoretical reasoning. The Economic Theory Bulletin together with Economic Theory are the official journals of the Society for the Advancement of Economic Theory. The Economic Theory Bulletin is intended to publish: 1. Short papers/notes of substantial interest. Content is subject to the same standards as Economic Theory: research in all areas of economics based on rigorous theoretical reasoning and on topics in mathematics that are supported by the analysis of economic problems. Published articles contribute to the understanding and solution of substantive economic problems. Theory papers with the substance and style for other journals that specialize in short papers are welcomed. Corollaries of already known results in the literature are not appropriate for publication. 2. Survey papers that clearly picture the basic ideas at work in the area, the essential technical apparatus that is used and the central questions that remain open.