Open AccessDYNAMIC ANALYSIS FOR BERTRAND COMPETITION MODEL WITH EXPONENTIAL FORM∗
Author(s) -
Hang Ma,
Hui Feng
Publication year - 2016
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2016.1237388
Subject(s) - bertrand competition , oligopoly , exponential function , mathematics , mathematical economics , convergence (economics) , stability (learning theory) , nonlinear system , exponential stability , competition (biology) , economics , computer science , cournot competition , mathematical analysis , physics , quantum mechanics , machine learning , economic growth , ecology , biology
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.