Stability of a Continuous Reaction-Diffusion Cournot-Kopel Duopoly Game Model

被引：14
|
作者：
Rionero, Salvatore [1 ,2 ]
Torcicollo, Isabella [3 ]
机构：
[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Naples, Italy
[2] Accademia Nazl Lincei, I-00165 Rome, Italy
[3] CNR, Ist Applicaz Calcolo M Picone, Via P Castellino 111, I-80131 Naples, Italy
来源：
ACTA APPLICANDAE MATHEMATICAE | 2014年 / 132卷 / 01期
关键词：
Continuous Cournot-Kopel model; Nonlinear duopoly game; Nonlinear stability; Nonautonomous binary dynamical systems of PDEs; Self-diffusion; Cross-diffusion; Liapunov Direct Method; NONLINEAR L-2-STABILITY ANALYSIS; DYNAMICS; SYSTEM;
D O I：
10.1007/s10440-014-9932-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In order to take into account the territory in which the outputs are in the market and the time-depending firms' strategies, the discrete Cournot duopoly game (with adaptive expectations, modeled by Kopel) is generalized through a non autonomous reaction-diffusion binary system of PDEs, with self and cross diffusion terms. Linear and nonlinear asymptotic L (2)-stability, via the Liapunov Direct Methot and a nonautonomous energy functional, are investigated.
引用
收藏
页码：505 / 513
页数：9
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