Power Indices and Minimal Winning Coalitions for Simple Games in Partition Function Form

被引:0
|
作者
J. M. Alonso-Meijide
M. Álvarez-Mozos
M. G. Fiestras-Janeiro
机构
[1] Universidade de Santiago de Compostela,Departamento de Estatística, Análise Matemática e Optimización, Facultade de Ciencias
[2] Universitat de Barcelona,Departament de Matemàtica Económica, Financera i Actuarial and Barcelona Economic Analysis Team, Facultat d’Economia i Empresa
[3] Universidade de Vigo,Departamento de Estatística e Investigación Operativa, Facultade de Ciencias Económicas e Empresariais
来源
关键词
Deegan–Packel index; Public Good index; Simple games; Partition function form; Monotonicity;
D O I
暂无
中图分类号
学科分类号
摘要
We propose a generalization of simple games to partition function form games based on a monotonicity property that we define in this context. This property allows us to properly speak about minimal winning embedded coalitions. We propose and characterize two power indices based on such coalitions. Finally, the new indices are used to study the distribution of power in the Parliament of Andalusia that emerged after the elections of March 22, 2015.
引用
收藏
页码:1231 / 1245
页数:14
相关论文
共 47 条
  • [1] Power Indices and Minimal Winning Coalitions for Simple Games in Partition Function Form
    Alonso-Meijide, J. M.
    Alvarez-Mozos, M.
    Fiestras-Janeiro, M. G.
    [J]. GROUP DECISION AND NEGOTIATION, 2017, 26 (06) : 1231 - 1245
  • [2] On power indices and minimal winning coalitions
    Nurmi, H
    [J]. CONTROL AND CYBERNETICS, 1997, 26 (04): : 609 - 611
  • [3] Power indices and minimal winning coalitions
    Kirsch, Werner
    Langner, Jessica
    [J]. SOCIAL CHOICE AND WELFARE, 2010, 34 (01) : 33 - 46
  • [4] Power indices and minimal winning coalitions
    Werner Kirsch
    Jessica Langner
    [J]. Social Choice and Welfare, 2010, 34 : 33 - 46
  • [5] On the structure of minimal winning coalitions in simple voting games
    Maria Axenovich
    Sonali Roy
    [J]. Social Choice and Welfare, 2010, 34 : 429 - 440
  • [6] On the structure of minimal winning coalitions in simple voting games
    Axenovich, Maria
    Roy, Sonali
    [J]. SOCIAL CHOICE AND WELFARE, 2010, 34 (03) : 429 - 440
  • [7] Complementary cooperation, minimal winning coalitions, and power indices
    Cao, Zhigang
    Yang, Xiaoguang
    [J]. THEORETICAL COMPUTER SCIENCE, 2013, 470 : 53 - 92
  • [8] Power indices expressed in terms of minimal winning coalitions
    Lange, Fabien
    Koczy, Laszlo A.
    [J]. SOCIAL CHOICE AND WELFARE, 2013, 41 (02) : 281 - 292
  • [9] Power indices expressed in terms of minimal winning coalitions
    Fabien Lange
    László Á. Kóczy
    [J]. Social Choice and Welfare, 2013, 41 : 281 - 292
  • [10] Minimal winning coalitions in weighted-majority voting games
    Fishburn, PC
    Brams, SJ
    [J]. SOCIAL CHOICE AND WELFARE, 1996, 13 (04) : 397 - 417