On the non-linear stability of a continuous duopoly model with constant conjectural variation

被引：15

作者：

Torcicollo, Isabella ^{[1
]}

机构：

[1] CNR, Ist Applicaz Calcolo Mauro Picone, Via P Castellino 111, I-80125 Naples, Italy

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2016年 / 81卷

关键词：

Non-linear duopoly game; Conjectural variation model; Bounded rationality; Continuous models; Non-linear stability; REACTION-DIFFUSION SYSTEM; L-2-STABILITY ANALYSIS; DYNAMICS; GAME; PDES;

D O I：

10.1016/j.ijnonlinmec.2016.01.018

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The paper concerns a continuous model governed by a ODE system originated by a discrete duopoly model with bounded rationality, based on constant conjectural variation. The aim of this paper is to show (i) the existence of an absorbing set in the phase space; (ii) linear stability analysis of the critical points of the system; (iii) non-linear, global asymptotic stability of equilibrium of constant conjectural variation. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：268 / 273

页数：6

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