Topological chaos in oligopoly competition

Xiaoliang Li and Ally Quan Zhang

Economics Letters, 2025, vol. 252, issue C

Abstract: This letter demonstrates that oligopoly competition can exhibit topological chaos by applying Mitra’s sufficient condition. To overcome the computational challenges arising from the lack of a simple closed-form expression for the modal point, we develop a resultant-based method. Our results show that, for a sufficiently large number of firms, there must exist parameter values that guarantee topological chaos.

Keywords: Topological chaos; Oligopoly game; Mitra’s sufficient condition; Resultant (search for similar items in EconPapers)
JEL-codes: C60 C62 C63 D43 L13 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:252:y:2025:i:c:s0165176525001673

DOI: 10.1016/j.econlet.2025.112330

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