A sufficient condition for topological chaos with an application to a model of endogenous growth

• 成果类型: Article
• 署名作者: Mitra, T
• 署名单位: Cornell University
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1006/jeth.2000.2738
• 发表日期: 2001
• 页码: 133-152
• 关键词: topological chaos; endogenous growth; externalities; equilibrium dynamics; Transversality condition

摘要

This paper provides an easily verifiable sufficient condition for topological chaos for unimodal maps which can be satisfied when the well-known Li-Yorke condition is not satisfied. It then shows how this result can be applied to a model of endogenous growth with externalities to establish the existence of chaotic equilibrium growth paths in that framework. Journal of Economic Literature Classification Numbers: C61, D90, O41. (C) 2001 Academic Press.