On dynamic oligopoly motivated by fuzzy concepts

被引:2
作者
Ahmed, E
Hegazi, AS [1 ]
机构
[1] Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] Fac Sci, Dept Math, Al Ain, U Arab Emirates
关键词
D O I
10.1016/S0960-0779(00)00247-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A dynamic oligopoly model motivated by fuzzy concepts is given. Its steady state and stability and the bounds of its basin of attraction are studied. Delay (memory) is then introduced. Stability of chaos for delayed systems is discussed. A refinement for a fuzzy multiobjective optimization is given and it is shown that the set of refined solutions is Pareto optimal. Oligopoly is then reformulated using Smale's game which is more realistic than ordinary games since it takes memory into consideration. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:155 / 160
页数:6
相关论文
共 13 条
[1]   On modelling advertisement in Cournot duopoly [J].
Ahmed, E ;
Agiza, HN ;
Hassan, SZ .
CHAOS SOLITONS & FRACTALS, 1999, 10 (07) :1179-1184
[2]  
AHMED E, 2000, ADV COMPLEX SYST, V2, P423
[3]  
Bischi GI, 2000, ANN INT SOC DYN GAME, V5, P361
[4]  
Hofbauer J, 1998, Evol. Games Popul. Dyn., DOI DOI 10.1017/CBO9781139173179
[5]  
HUSSEIN ML, 2000, IN PRESS FUZZY SETS
[6]  
IBRAHIM A, 1997, FUZZY ELECT SYSTEMS
[7]   Stabilizing chaos in a dynamic macroeconomic model [J].
Kaas, L .
JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION, 1998, 33 (3-4) :313-332
[8]  
MANSUR M, 1995, FUZZY SETS APPL OLIG
[9]   CONTROLLING CHAOS [J].
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199
[10]   USING CHAOS TO DIRECT TRAJECTORIES TO TARGETS [J].
SHINBROT, T ;
OTT, E ;
GREBOGI, C ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3215-3218