A new axiomatization of the Shapley-solidarity value for games with a coalition structure

被引:15
作者
Hu, Xun-Feng [1 ]
Li, Deng-Feng [2 ]
机构
[1] Guangzhou Univ, Sch Business Adm, Guangzhou 510006, Guangdong, Peoples R China
[2] Fuzhou Univ, Sch Econ & Management, 2 Xueyuan Rd, Fuzhou 350108, Fujian, Peoples R China
基金
中国国家自然科学基金;
关键词
Transferable utility cooperative game; Coalition structure; Shapley-solidarity value; Owen value; COOPERATION; DIFFERENCE;
D O I
10.1016/j.orl.2017.12.006
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, we propose a new kind of players as a compromise between the null player and the A-null player. It turns out that the axiom requiring this kind of players to get zero-payoff together with the well-known axioms of efficiency, additivity, coalitional symmetry, and intra-coalitional symmetry characterize the Shapley-solidarity value. This way, the difference between the Shapely-solidarity value and the Owen value is pinpointed to just one axiom. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:163 / 167
页数:5
相关论文
共 19 条
  • [1] Aumann R. J., 1974, International Journal of Game Theory, V3, P217, DOI 10.1007/BF01766876
  • [2] Axiomatization and implementation of a class of solidarity values for TU-games
    Beal, Sylvain
    Remila, Eric
    Solal, Philippe
    [J]. THEORY AND DECISION, 2017, 83 (01) : 61 - 94
  • [3] The principle of balanced contributions and hierarchies of cooperation
    Calvo, E
    Lasaga, JJ
    Winter, E
    [J]. MATHEMATICAL SOCIAL SCIENCES, 1996, 31 (03) : 171 - 182
  • [4] Calvo E., 2011, VALUE COOPERATIVE GA
  • [5] Axiomatic characterizations of the weighted solidarity values
    Calvo, Emilio
    Gutierrez-Lopez, Esther
    [J]. MATHEMATICAL SOCIAL SCIENCES, 2014, 71 : 6 - 11
  • [6] THE SHAPLEY-SOLIDARITY VALUE FOR GAMES WITH A COALITION STRUCTURE
    Calvo, Emilio
    Gutierrez, Esther
    [J]. INTERNATIONAL GAME THEORY REVIEW, 2013, 15 (01)
  • [7] On a class of solidarity values
    Casajus, Andre
    Huettner, Frank
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2014, 236 (02) : 583 - 591
  • [8] Null, nullifying, or dummifying players: The difference between the Shapley value, the equal division value, and the equal surplus division value
    Casajus, Andre
    Huettner, Frank
    [J]. ECONOMICS LETTERS, 2014, 122 (02) : 167 - 169
  • [9] The consensus value: a new solution concept for cooperative games
    Ju, Yuan
    Borm, Peter
    Ruys, Pieter
    [J]. SOCIAL CHOICE AND WELFARE, 2007, 28 (04) : 685 - 703
  • [10] ON WEIGHTED SHAPLEY VALUES
    KALAI, E
    SAMET, D
    [J]. INTERNATIONAL JOURNAL OF GAME THEORY, 1987, 16 (03) : 205 - 222