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

2023/10/24 by Tomohiro Uchiyama, Uchiyama, Tomohiro
Economics, Econometrics and Finance · Mathematics · #Economic theories and models #Mathematical Dynamics and Fractals #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2310.15755

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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