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

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  • Tomohiro Uchiyama

    (Soka University)

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).

Suggested Citation

  • Tomohiro Uchiyama, 2024. "A necessary and sufficient condition for the existence of chaotic dynamics in a neoclassical growth model with a pollution effect," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(1), pages 79-86, June.
    • Handle: RePEc:spr:etbull:v:12:y:2024:i:1:d:10.1007_s40505-024-00264-y
    DOI: 10.1007/s40505-024-00264-y
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    References listed on IDEAS

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    1. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    2. 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).
    3. Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-414, June.
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