文章基本信息

标题：Stability, Bifurcation, and Chaos in <svg style="vertical-align:-0.0pt;width:21.2125px;" id="M1" height="14.7625" version="1.1" viewBox="0 0 21.2125 14.7625" width="21.2125" xmlns="http://www.w3.org/2000/svg" > <g transform="matrix(1.25,0,0,-1.25,0,14.7625)"> <g transform="translate(72,-60.19)"> <text transform="matrix(1,0,0,-1,-71.95,60.24)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝑁</tspan> </text> </g> </g> </svg>-Firm Nonlinear Cournot Games
本地全文：下载
作者：Akio Matsumoto ; Ferenc Szidarovszky
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2011
卷号：2011
DOI：10.1155/2011/380530
出版社：Hindawi Publishing Corporation
摘要：An 𝑁-firm production game known as oligopoly will be examined with isoelastic price function and linear cost under al Cournot competition. After the best responses of the firms are determined, a dynamic system with adaptive expectations is introduced. It is first shown that the local asymptotic behavior of the system is identical with that of the adaptive adjustment process in which the firms cautiously determine their outputs. Dynamic analysis is confined to two special cases, one in which 𝑁 is divided into two groups and the other in which 𝑁 is divided into three groups. Then stability conditions will be derived and the global behavior of the equilibria will be illustrated including chaos control. Lastly the two- and three-group models are compared with two-firm (duopoly) and three-firm (triopoly) models to shed light on roles of the number of the firms.