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

页码：505 / 513

页数：9

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