Evaluation of decision power in multi-dimensional rules

被引：0
|
作者：
Courtin, Sebastien [1 ]
机构：
[1] Normandie Univ, CREM, Unicaen, UMR CNRS 6211, Caen, France
来源：
MATHEMATICAL SOCIAL SCIENCES | 2022年 / 115卷
关键词：
Multi-dimensional rules; Power index; Shapley-Shubik index; Banzhaf index; Public good index; Deegan-Packel index; INDEX; COALITIONS; GAMES;
D O I：
10.1016/j.mathsocsci.2021.11.001
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
This work deals with the evaluation of decision power in multi-dimensional rules. Courtin and Laruelle (2020) introduced a decision process that specifies the collective acceptance or rejection of a proposal with several dimensions. The decision process is modeled as follows: (i) There are several individuals. (ii) There are several dimensions. (iii) Each of the individuals expresses a binary choice ("Yes"or "No") on each dimension. (iv) A decision process maps each choice to a final binary decision ("Yes"or "No"). We extend and characterize six well-known power indices within this context: the Shapley-Shubik index (Shapley and Shubik, 1954), the Banzhaf index (Banzhaf, 1965), the Public good index (Holler, 1982), the Null individual free index (Alonso-Meijide et al., 2011), the Shift index (Alonso-Meijide and Freixas, 2010) and the Deegan-Packel index (Deegan and Packel, 1978). (c) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页码：27 / 36
页数：10
相关论文
共 50 条
  • [1] Multi-dimensional rules
    Courtin, Sebastien
    Laruelle, Annick
    [J]. MATHEMATICAL SOCIAL SCIENCES, 2020, 103 : 1 - 7
  • [2] Multi-dimensional evaluation of power market based on multiple attribute decision making
    Cui, Jinrui
    Li, Yating
    Lin, Zhemin
    He, Chuan
    Wang, Pei
    Li, Yongbo
    Liu, Xinyi
    Zhang, Zhi
    Qian, Hanhan
    Lin, Zhenzhi
    Yang, Li
    [J]. ENERGY REPORTS, 2022, 8 : 59 - 65
  • [3] Multi-dimensional evaluation method for new power system
    Han, Tianbo
    Gao, Zhihua
    Du, Wenxin
    Hu, Shizhao
    [J]. ENERGY REPORTS, 2022, 8 : 618 - 635
  • [4] Mining association rules with multi-dimensional constraints
    Lee, AJT
    Lin, WC
    Wang, CS
    [J]. JOURNAL OF SYSTEMS AND SOFTWARE, 2006, 79 (01) : 79 - 92
  • [5] Optimal Scoring Rules for Multi-dimensional Effort
    Hartline, Jason D.
    Shan, Liren
    Li, Yingkai
    Wu, Yifan
    [J]. THIRTY SIXTH ANNUAL CONFERENCE ON LEARNING THEORY, VOL 195, 2023, 195
  • [6] Research on Multi-dimensional Association Rules Mining
    Li, Wenchao
    Yang, Nini
    [J]. PROCEEDINGS OF 2010 INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND INDUSTRIAL ENGINEERING, VOLS I AND II, 2010, : 725 - 728
  • [7] Characterizing implementable allocation rules in multi-dimensional environments
    Berger, Andr
    Muller, Rudolf
    Naeemi, Seyed Hossein
    [J]. SOCIAL CHOICE AND WELFARE, 2017, 48 (02) : 367 - 383
  • [8] Clustering association rules with multi-dimensional numeric attributes
    Deng, H.
    Liu, H.
    Lu, S.
    [J]. Huazhong Ligong Daxue Xuebao/Journal Huazhong (Central China) University of Science and Technology, 2001, 29 (03): : 33 - 35
  • [9] A multi-dimensional fuzzy decision support strategy
    Jiang, QM
    Chen, CH
    [J]. DECISION SUPPORT SYSTEMS, 2005, 38 (04) : 591 - 598
  • [10] Mining multi-dimensional data for decision support
    Donato, JM
    Schryver, JC
    Hinkel, GC
    Schmoyer, RL
    Leuze, MR
    Grandy, NW
    [J]. FUTURE GENERATION COMPUTER SYSTEMS, 1999, 15 (03) : 433 - 441
12345