Operations Research and Management Science ›› 2018, Vol. 27 ›› Issue (6): 1-5.DOI: 10.12005/orms.2018.0127

• Theory Analysis and Methodology Study •     Next Articles

Position Value with the Weight of Marginal Contribution

CHEN Gang1, ZHANG Qiang2, FENG Jiao3   

  1. 1.School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China;
    2.School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China;
    3.School of Economics and Management,Ningxia University, Yinchuan 750021, China
  • Received:2015-02-28 Online:2018-06-25

具有边际贡献权重的位置值

陈纲1, 张强2, 冯蛟3   

  1. 1.宁夏大学 数学统计学院,宁夏 银川 750021;
    2.北京理工大学 管理经济学院,北京 100081;
    3.宁夏大学 经济管理学院,宁夏 银川 750021
  • 作者简介:陈纲(1977-),男,博士,副教授,研究方向:对策论,图论;张强(1955-),男,博士,教授,博士生导师,研究方向:物流及供应链管理,不确定系统理论及应用;冯蛟(1979-),男,博士,副教授,研究方向:消费者行为决策。
  • 基金资助:
    国家自然科学基金资助项目(71561022,71662025)

Abstract: In this paper,we determine link’s adjacent communication situation by the adjacent relationship between links in communication structure. Then,using Myerson value of the link’s adjacent communication situation and the proportion of the marginal contribution of two vertices in their link,we define the position value with weight of marginal contribution. Furthermore,in some communication situations, the weighted position value is characterized by component efficiency and balanced link contributions.

Key words: position value, myerson value, communication structure, marginal contribution

摘要: 先通过交流局势中交流结构的边邻接关系,确定了边邻接交流局势。再利用边邻接交流局势的Myerson值,以及边的端点的边际联盟贡献比例,定义了具有边际贡献权重的位置值。并利用分支有效性和边均衡贡献性,在一类交流局势下刻画了具有边际贡献权重的位置值。

关键词: 位置值, Myerson值, 交流结构, 边际贡献

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