A Simple Bargaining Procedure for the Myerson Value

被引:3
|
作者
Navarro, Noemi [1 ]
Perea, Andres [2 ]
机构
[1] Univ Sherbrooke, Dept Econ, Quebec City, PQ, Canada
[2] Maastricht Univ, Dept Quantitat Econ, Maastricht, Netherlands
来源
B E JOURNAL OF THEORETICAL ECONOMICS | 2013年 / 13卷 / 01期
关键词
Myerson value; networks; bargaining; cooperation; LINK FORMATION; SURPLUS; GAMES; IMPLEMENTATION; NETWORKS; MODEL;
D O I
10.1515/bejte-2012-0006
中图分类号
F [经济];
学科分类号
02 ;
摘要
We consider situations where the cooperation and negotiation possibilities between pairs of agents are given by an undirected graph. Every connected component of agents has a value, which is the total surplus the agents can generate by working together. We present a simple, sequential, bilateral bargaining procedure, in which at every stage the two agents in a link, (i,j) bargain about their share from cooperation in the connected component they are part of. We show that this procedure yields the Myerson value (Myerson, 1997) if the marginal value of any link in a connected component is increasing in the number of links in that connected component.
引用
收藏
页码:131 / 150
页数:20
相关论文
共 50 条
  • [21] A Decomposability Property to the Weighted Myerson Value and the Weighted Position Value
    Wang, Guangming
    Shan, Erfang
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [22] Eliminating ontology contradictions based on the Myerson value
    Wu, Juanyong
    Peng, Wei
    HELIYON, 2024, 10 (16)
  • [23] Myerson Value and Betweenness Centrality in Communication Games
    Kim, Jeong-Yoo
    SOCIOLOGICAL THEORY AND METHODS, 2012, 27 (01) : 131 - 147
  • [24] The α-Egalitarian Myerson value of games with communication structure
    Zijun Li
    Fanyong Meng
    Mathematical Methods of Operations Research, 2023, 97 : 311 - 338
  • [25] The α-Egalitarian Myerson value of games with communication structure
    Li, Zijun
    Meng, Fanyong
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2023, 97 (03) : 311 - 338
  • [26] Efficient Myerson Value for Union Stable Structures
    Dong, Hua
    Sun, Hao
    Xu, Genjiu
    CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL VII, 2014, 7 : 17 - 23
  • [27] Bargaining and value
    Hart, S
    MasColell, A
    ECONOMETRICA, 1996, 64 (02) : 357 - 380
  • [28] Safety of links with respect to the Myerson value for communication situations
    Li, Daniel Li
    Shan, Erfang
    OPERATIONAL RESEARCH, 2022, 22 (03) : 2121 - 2131
  • [29] A Modified Myerson Value for Determining the Centrality of Graph Vertices
    Mazalov, V. V.
    Khitraya, V. A.
    AUTOMATION AND REMOTE CONTROL, 2021, 82 (01) : 145 - 159
  • [30] A Modified Myerson Value for Determining the Centrality of Graph Vertices
    V. V. Mazalov
    V. A. Khitraya
    Automation and Remote Control, 2021, 82 : 145 - 159