A Differential Oligopoly Game Under Price Competition  

作　　者：Jun WANG 

机构地区：[1]School of Mathematics and Statistics,Changchun University of Technology

出　　处：《Acta Mathematicae Applicatae Sinica》2019年第2期412-420,共9页应用数学学报（英文版）

基　　金：Supported by Jilin Provincial Department of Education(JJKH20170537KJ);NSFC(11871244)

摘　　要：A dynamic actual demand function was used to portray a market environment for fast moving consumer goods and to establish oligopoly differential games under price competition. We confirmed the stable point in n-player price competition as the saddle point of differential games, and acquired the optimal price and demand at equilibrium. Analysis on optimal price and demand shows that, to obtain more profits, a manufacturer should control costs, rapidly occupy the market, and improve product uniqueness.A dynamic actual demand function was used to portray a market environment for fast moving consumer goods and to establish oligopoly differential games under price competition. We confirmed the stable point in n-player price competition as the saddle point of differential games, and acquired the optimal price and demand at equilibrium. Analysis on optimal price and demand shows that, to obtain more profits, a manufacturer should control costs, rapidly occupy the market, and improve product uniqueness.

关 键 词：DIFFERENTIAL GAMES OLIGOPOLY NASH EQUILIBRIUM 

分 类 号：O1[理学—数学]