A Necessary and Sufficient Condition for the Existence of Chaotic Dynamics in an Overlapping Generations Model

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 e...

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Bibliographic Details
Published inOperations Research Forum Vol. 5; no. 2; p. 50
Main Author Uchiyama, Tomohiro
Format Journal Article
LanguageEnglish
Published Aachen Springer Nature B.V 06.06.2024
Subjects
Dynamical systems
Numerical analysis
Numerical methods
Theorems
Topology
Utility functions
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Summary: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 et al. (J Econ Theory 201:105446, 2022).
ISSN:2662-2556
2662-2556
DOI:10.1007/s43069-024-00329-5