基于二次运输函数博弈方法的应用研究  

The Application Research on Game Theory Based on the Quadratic Transport Function

作　　者：张娟[1,2] 耿弘[1] 张钦[1] 刘永健[1] 王哲[1] ZHANG Juan GENG Hong ZHANG Qin LIU Yong-jian WANG Zhe(College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China Bussiness school, Shandong Jianzhu University, Jinan 250014, China)

机构地区：[1]南京航空航天大学经济与管理学院,江苏南京211106 [2]山东建筑大学商学院,山东济南250014

出　　处：《数学的实践与认识》2017年第18期49-57,共9页Mathematics in Practice and Theory

基　　金：国家社会科学基金重点项目(13AZD062);国家自然科学基金(71273130)

摘　　要：博弈论在市场竞争分析中具有广泛的应用,通过构建基于二次运输函数的市场竞争模型,运用博弈论方法研究产品市场竞争情况.放松厂商定位的约束条件,市场竞争的空间扩大了.结果表明,当市场中两垄断厂商定位不局限于消费者分布的线性空间时,市场环境加剧了厂商之间的竞争,但厂商博弈的均衡仍然存在.该模型是研究网络环境下产品市场竞争策略的有效方法.Game theory widely used in the analysis of market competition. The market com- petition is studied using the game method through establishing the market competition model based on the quadratic transport function. Loosing position constraints of the manufacturers, the market competition space has increased. The result has showed the market environment has intensified the competition between manufacturers when the market position of the two monopoly manufacturers is not limited to the linear distribution space of consumers, but the game equilibrium has still existed. The model is an effective method to study the market competition strategy of the product under the network environment.

关 键 词：博弈均衡 市场竞争 二次运输函数 

分 类 号：O225[理学—运筹学与控制论]