DYNAMIC ANALYSIS FOR BERTRAND COMPETITION MODEL WITH EXPONENTIAL FORM∗ | Zendy

Huili Ma | Zendy; Hui Feng | Zendy

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DYNAMIC ANALYSIS FOR BERTRAND COMPETITION MODEL WITH EXPONENTIAL FORM∗

Author(s) -

Huili Ma,

Hui Feng

Publication year - 2016

Publication title -

mathematical modelling 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 , mathematics , exponential function , convergence (economics) , mathematical economics , nonlinear system , competition (biology) , exponential stability , stability (learning theory) , mathematical analysis , economics , computer science , cournot competition , physics , ecology , quantum mechanics , machine learning , biology , economic growth

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.

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