Explicit stability zones for Cournot game with 3 and 4 competitors

被引：87
作者：
Agiza, HN [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
CHAOS SOLITONS & FRACTALS | 1998年 / 9卷 / 12期
关键词：
D O I：
10.1016/S0960-0779(98)00006-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The dynamical system of 3 and 4 competitors in a Cournot game is studied. The stability of its fixed points (Nash-equilibria) are also investigated. The stable and unstable regions are explicitly shown. The bifurcation characteristics are found. Periodic orbits with different periods 7, 25, 18, 13, 17 etc., are detected in both cases. The study of these models is very rich in bifurcation phenomena. (C) 1998 Elsevier Science Ltd. All rights reserved.
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页码：1955 / 1966
页数：12
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