运筹与管理 ›› 2018, Vol. 27 ›› Issue (4): 15-21.DOI: 10.12005/orms.2018.0079

• 理论分析与方法探讨 • 上一篇    下一篇

基于Hotelling模型的双寡头免费增值策略竞争分析

王海平, 刘树林, 林军   

  1. 西安交通大学 管理学院,陕西 西安 710049
  • 收稿日期:2016-09-06 出版日期:2018-04-25
  • 作者简介:王海平(1989- ),女,山东菏泽人,博士研究生,研究方向:软件行业商业模式,信息产品定价;刘树林(1966-),男,河南安阳人,教授,博士生导师,研究方向:决策管理、生产运作管理;林军(1976-)男,上海人,教授,博士生导师,研究方向:新产品与技术管理、“互联网+”商业模式与战略。
  • 基金资助:
    国家自然科学基金资助项目(71371149,71672140);国家社会科学基金一般项目(17BGL032)

Competitive Analysis of Freemium Strategy of Duopoly SoftwareFirms Based on Hotelling Model

WANG Hai-ping, LIU Shu-lin, LIN Jun   

  1. School of Management, Xi’an Jiaotong University, Xi’an 710049, China
  • Received:2016-09-06 Online:2018-04-25

摘要: 软件产品的经验性和强网络效应使得企业往往依靠免费的基础产品积聚人气,再通过收费的增值产品或服务来盈利。现有免费增值策略相关研究多局限于垄断情况,对多个企业之间的竞争交互鲜有探讨。基于产品网络效应和消费者偏好差异,本文构建Hotelling模型研究了双寡头企业免费增值策略博弈均衡及其影响因素。结果表明:若网络效应相对较强,企业都应采用免费增值策略;若网络效应相对较弱,都不采用;若网络效应相对处于中等水平,存在“都不采用”和“都采用”两种可能的均衡结果,但前者情况下双方企业都能获得更大利润。另外,消费者对企业之间的水平差异越敏感,对免费版本的质量要求越高,企业采用免费增值策略的动力越弱,“都不采用”区域扩大,而“都采用”区域缩小。

关键词: 免费增值, Hotelling模型, 网络效应, 功能限制型免费试用

Abstract: The experiential characteristic and network effect of software make firms often provide consumers free basic products to build large installed base, and make profits from premium products or services. Existing freemium related research is more confined to the monopoly situation, and seldom analyzes the competitive interaction between firms. Considering the network effect of software and consumers’ heterogeneous preferences for products, we build a Hotelling model to examine the equilibrium freemium strategies of duopoly firms, and possible influencing factors. The results show that: if the network effect of the software is relatively strong, both firms adopt freemium strategy; if weak, neither firms adopts; otherwise, there exist two possible equilibria, “neither adopts” or “both adopt”, but in fact both firms can gain more profit in the former equilibrium. Furthermore, as consumers become more sensitive to the horizontal differentiation between firms, or consumers’ requirement of the quality of the free version increases, firms have less incentive to adopt freemium strategy, and the region of “neither adopts” expands, while the region of “both adopt” shrinks.#

Key words: freemium, hotelling model, network effect, feature-limited free trial

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