A unified approach to the Myerson value and the position value

被引:8
|
作者
Gómez, D
González-Arangüena, E
Manuel, C
Owen, G
Del Pozo, M
机构
[1] Univ Complutense Madrid, Dept Estadist & IO EU Estadist 3, E-28040 Madrid, Spain
[2] USN, Postgrad Sch, Dept Math, Monterey, CA 93942 USA
关键词
allocation rules; Myerson value; position value; inclusion-exclusion decomposability property;
D O I
10.1007/s11238-004-5636-4
中图分类号
F [经济];
学科分类号
02 ;
摘要
We reconsider the Myerson value and the position value for communication situations. In case the underlying game is a unanimity game, we show that each of these values can be computed using the inclusion exclusion principle. Linearity of both values permits us to calculate them without needing the dividends of the induced games (graph-restricted game and link game). The expression of these dividends is only derived in the existing literature for special communication situations. Moreover, the associated inclusion-exclusion decomposability property depends on what we have called the graph allocation rule. This rule is the relative degree (relative indicator) for the position value (Myerson value).
引用
收藏
页码:63 / 76
页数:14
相关论文
共 50 条
  • [31] Safety of links with respect to the Myerson value for communication situations
    Li, Daniel Li
    Shan, Erfang
    OPERATIONAL RESEARCH, 2022, 22 (03) : 2121 - 2131
  • [32] 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
  • [33] 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
  • [34] Comparable axiomatizations of the average tree solution and the Myerson value
    Selcuk, Oezer
    Suzuki, Takamasa
    INTERNATIONAL JOURNAL OF GAME THEORY, 2023, 52 (02) : 333 - 362
  • [35] Comparable axiomatizations of the average tree solution and the Myerson value
    Özer Selçuk
    Takamasa Suzuki
    International Journal of Game Theory, 2023, 52 : 333 - 362
  • [36] Fair distribution of surplus and efficient extensions of the Myerson value
    Hu, Xun-Feng
    Li, Deng-Feng
    Xu, Gen-Jiu
    ECONOMICS LETTERS, 2018, 165 : 1 - 5
  • [37] Safety of links with respect to the Myerson value for communication situations
    Daniel Li Li
    Erfang Shan
    Operational Research, 2022, 22 : 2121 - 2131
  • [38] Value creation in entrepreneurial education: towards a unified approach
    Jones, Colin
    Penaluna, Kathryn
    Penaluna, Andy
    EDUCATION AND TRAINING, 2021, 63 (01): : 101 - 113
  • [39] A unified approach to extreme value analysis of ocean waves
    Krogstad, HE
    Barstow, SF
    PROCEEDINGS OF THE 10TH (2000) INTERNATIONAL OFFSHORE AND POLAR ENGINEERING CONFERENCE, VOL III, 2000, : 103 - 108
  • [40] The Myerson Value and Superfluous Supports in Union Stable Systems
    Algaba, E.
    Bilbao, J. M.
    van den Brink, R.
    Lopez, J. J.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 155 (02) : 650 - 668