数学理论与应用 ›› 2022, Vol. 42 ›› Issue (3): 114-.doi: 10.3969/j.issn.1006-8074.2022.03.009

• • 上一篇    

连续时间圆形城市模型中的进入时机与产品差异化决策

张博,胡支军*   

  1. 贵州大学数学与统计学院, 贵阳, 550025
  • 出版日期:2022-09-30 发布日期:2022-09-28
  • 通讯作者: 胡支军(1975−), 教授, 博士; E−mail: zjunhu75@163.com
  • 基金资助:
    国家自然科学基金项目(71361003)资助

Entry Timing and Product Differentiation Decision in Continuous Time Circular City Model

Zhang Bo,  Hu Zhijun*   

  1. School of Mathematics & Statistics, Guizhou University, Guiyang 550025, China
  • Online:2022-09-30 Published:2022-09-28

摘要: 本文在圆形空间竞争的背景下研究投资成本不对称企业的选址、定价和进入时机问题, 运用期权博弈理论, 构建具有横向产品差异的双寡头企业在圆形市场中的动态博弈模型, 讨论市场中占优序贯均衡、抢占均衡以及共同进入均衡的存在性问题, 给出斯塔克尔伯格动态博弈的子博弈精炼Nash均衡.研究表明:企业的利润随着产品差异的增加而增加; 具有成本优势的企业总是作为领导者进入市场; 当两家企业的成本不对称程度小于临界值时, 领导者的进入时机被抢占威胁所控制, 领导者由成本优势带来的利润会因此受损; 跟随者的进入时机不受到成本不对称程度的影响.

关键词: 不对称双寡头, 实物期权, 产品差异化, 进入时间

Abstract: This paper investigates enterprises' decision of the location, pricing and entry timing with asymmetric investment costs in a circular city. Using the option game theory, we construct the dynamic game model of duopoly enterprises with horizontal product differentiation in the circular market, analyze the existing sequential equilibrium and preemptive investment equilibrium, and depict the sub-game perfect equilibrium of the dynamic game under the Stackelberg Equilibrium. The study shows that the profit of enterprises increase with the increase of product differentiation; the enterprise with cost advantage always enters the market as a leader; when the cost asymmetry of two enterprises is less than the critical value, the leader's entry timing is controlled by the threat of preemption, and the leader's profits brought by cost advantage will be damaged; the entry timing of the follower is not affected by the degree of cost asymmetry.

Key words: Asymmetric duopoly, Real option, Product differentiation, Entry timing