Dynamic Analysis for Bertrand Competition Model with Exponential Form*. Issue 6 (1st November 2016)

• Record Type: Journal Article
• Authors: Ma, Huili; Feng, Hui
• Is Part Of: Mathematical modelling and analysis. Volume 21:Issue 6(2016)
• Page Start: 741
• Page End: 751
• Publication Date: 2016-11-01
• Subjects: difference equations -- boundedness -- Bertrand model -- global asymptotic behavior; 39A11 -- 40A05 -- 91A25; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2016.1237388
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: This paper will consider a nonliear system of difference equations which describes a qualitative study of Bertrand oligopoly games with two boundedly rational players. With nonlinear demand function of exponential form, the local stability of equilibria and the global convergence of positive solutions for the dynamical system are analyzed.