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A necessary and sufficient condition for the existence of chaotic dynamics in an overlapping generations model

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  • Tomohiro Uchiyama

Abstract

In this paper, we study economic dynamics in a standard overlapping generations model without production. In particular, using numerical methods, we obtain a necessary and sufficient condition for the existence of a topological chaos. 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).

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  • Tomohiro Uchiyama, 2023. "A necessary and sufficient condition for the existence of chaotic dynamics in an overlapping generations model," Papers 2310.15755, arXiv.org.
    • Handle: RePEc:arx:papers:2310.15755
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    File URL: http://arxiv.org/pdf/2310.15755
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    1. Deng, Liuchun & Khan, M. Ali & Mitra, Tapan, 2022. "Continuous unimodal maps in economic dynamics: On easily verifiable conditions for topological chaos," Journal of Economic Theory, Elsevier, vol. 201(C).
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