Axioms of invariance for TU-games

被引：11
|
作者：
Beal, Sylvain [1 ]
Remila, Eric [2 ,3 ]
Solal, Philippe [2 ]
机构：
[1] Univ Franche Comte, CRESE, F-25009 Besancon, France
[2] Univ St Etienne, CNRS UMR GATE Lyon St Etienne 5824, St Etienne, France
[3] IXXI, St Etienne, France
来源：
INTERNATIONAL JOURNAL OF GAME THEORY | 2015年 / 44卷 / 04期
关键词：
Addition invariance; Equal (Surplus) Division rule; Transfer invariance; Shapley value; SHAPLEY VALUE; SOLIDARITY VALUE; BANZHAF VALUE; VALUES; DIFFERENCE;
D O I：
10.1007/s00182-014-0458-2
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
We introduce new axioms for the class of all TU-games with a fixed but arbitrary player set. These axioms require either invariance of an allocation rule or invariance of the payoff assigned by an allocation rule to a specified player in two related TU-games. Combinations of these new axioms are used to characterize the Shapley value, the Equal Division rule, and the Equal Surplus Division rule. The classical axioms of Efficiency, Anonymity, Equal treatment of equals, Additivity and Linearity are not used.
引用
收藏
页码：891 / 902
页数：12
相关论文
共 50 条
  • [1] Axioms of invariance for TU-games
    Sylvain Béal
    Eric Rémila
    Philippe Solal
    International Journal of Game Theory, 2015, 44 : 891 - 902
  • [2] A decomposition of the space of TU-games using addition and transfer invariance
    Beal, Sylvain
    Remila, Eric
    Solal, Philippe
    DISCRETE APPLIED MATHEMATICS, 2015, 184 : 1 - 13
  • [3] Decomposition of the space of TU-games, Strong transfer invariance and the Banzhaf value
    Beal, Sylvain
    Remila, Eric
    Solal, Philippe
    OPERATIONS RESEARCH LETTERS, 2015, 43 (02) : 123 - 125
  • [4] Prosperity properties of TU-games
    J. R. G. van Gellekom
    J. A. M. Potters
    J. H. Reijnierse
    International Journal of Game Theory, 1999, 28 : 211 - 227
  • [5] Potentials in cooperative TU-games
    Calvo, E
    Santos, JC
    MATHEMATICAL SOCIAL SCIENCES, 1997, 34 (02) : 175 - 190
  • [6] Prosperity properties of TU-games
    van Gellekom, JRG
    Potters, JAM
    Reijnierse, JH
    INTERNATIONAL JOURNAL OF GAME THEORY, 1999, 28 (02) : 211 - 227
  • [7] A Formal Theory of Cooperative TU-Games
    Daumas, Marc
    Martin-Dorel, Erik
    Truffert, Annick
    Venton, Michel
    MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE, PROCEEDINGS, 2009, 5861 : 81 - +
  • [8] Hierarchical constrained egalitarianism in TU-games
    Koster, M
    MATHEMATICAL SOCIAL SCIENCES, 2002, 43 (02) : 251 - 265
  • [9] Farsighted coalitional stability in TU-games
    Beal, Sylvain
    Durieu, Jacques
    Solal, Philippe
    MATHEMATICAL SOCIAL SCIENCES, 2008, 56 (03) : 303 - 313
  • [10] Linear symmetric rankings for TU-games
    Hernandez-Lamoneda, L.
    Sanchez-Sanchez, F.
    THEORY AND DECISION, 2017, 82 (04) : 461 - 484
12345