Chaos in Duopoly Games via Furstenberg Family Couple
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Assume that H1 and H2 are two given closed subintervals of ℝ and that f2:H1⟶H2 and f1:H2⟶H1 are continuous maps.
Let ϒh1,h2=f1h2,f2h1 be a Cournot map over the space H1×H2.
In this paper, we study G1,G2-chaos (resp.
strong G1,G2-chaos) of such a Cournot map.
We will show that the following are true: (1) ϒ is G1,G2-chaotic (resp.
strong G1,G2-chaotic) if and only if ϒ2Λ1 is G1,G2-chaotic (resp.
strong G1,G2-chaotic) if and only if Γ2Λ2 is G1,G2-chaotic (resp.
strong G1,G2-chaotic).
(2) ϒ is G1,G2-chaotic (resp.
strong G1,G2-chaotic) if and only if ϒ2Λ1∪Λ2 is G1,G2-chaotic (resp.
strong G1,G2-chaotic).
(3) f1∘f2 is G1,G2-chaotic (resp.
strong G1,G2-chaotic) if and only if so is f2∘f1.
MR(2000) Subject Classification: Primary 37D45, 54H20, and 37B40 and Secondary 26A18 and 28D20.
American Psychological Association (APA)
Zhao, Yu& Li, Risong. 2019. Chaos in Duopoly Games via Furstenberg Family Couple. Complexity،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1132137
Modern Language Association (MLA)
Zhao, Yu& Li, Risong. Chaos in Duopoly Games via Furstenberg Family Couple. Complexity No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1132137
American Medical Association (AMA)
Zhao, Yu& Li, Risong. Chaos in Duopoly Games via Furstenberg Family Couple. Complexity. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1132137
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132137
