论文信息 - Chaos in Duopoly Games via Furstenberg Family Couple

Chaos in Duopoly Games via Furstenberg Family Couple

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.

Yu Zhao | Risong Li

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