Chaos in Duopoly Games via Furstenberg Family Couple

Yu Zhao and Risong Li

Complexity, 2019, vol. 2019, 1-8

Abstract:

Assume that and are two given closed subintervals of and that and are continuous maps. Let be a Cournot map over the space . In this paper, we study - chaos (resp. strong - chaos) of such a Cournot map. We will show that the following are true: (1) is - chaotic (resp. strong - chaotic) if and only if is - chaotic (resp. strong - chaotic) if and only if is - chaotic (resp. strong - chaotic). (2) is - chaotic (resp. strong - chaotic) if and only if is - chaotic (resp. strong - chaotic). (3) is - chaotic (resp. strong - chaotic) if and only if so is . MR(2000) Subject Classification : Primary 37D45, 54H20, and 37B40 and Secondary 26A18 and 28D20.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:5484629

DOI: 10.1155/2019/5484629

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