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
  • [31] On a family of values for TU-games generalizing the Shapley value
    Radzik, Tadeusz
    Driessen, Theo
    MATHEMATICAL SOCIAL SCIENCES, 2013, 65 (02) : 105 - 111
  • [32] k-additive upper approximation of TU-games
    Grabisch, Michel
    Rusinowska, Agnieszka
    OPERATIONS RESEARCH LETTERS, 2020, 48 (04) : 487 - 492
  • [33] Consistency, population solidarity, and egalitarian solutions for TU-games
    René van den Brink
    Youngsub Chun
    Yukihiko Funaki
    Boram Park
    Theory and Decision, 2016, 81 : 427 - 447
  • [34] Bases and linear transforms of TU-games and cooperation systems
    Faigle, Ulrich
    Grabisch, Michel
    INTERNATIONAL JOURNAL OF GAME THEORY, 2016, 45 (04) : 875 - 892
  • [35] Consistency, population solidarity, and egalitarian solutions for TU-games
    van den Brink, Rene
    Chun, Youngsub
    Funaki, Yukihiko
    Park, Boram
    THEORY AND DECISION, 2016, 81 (03) : 427 - 447
  • [36] Some characterizations of egalitarian solutions on classes of TU-games
    Arin, J
    Kuipers, J
    Vermeulen, D
    MATHEMATICAL SOCIAL SCIENCES, 2003, 46 (03) : 327 - 345
  • [37] Core extensions for non-balanced TU-games
    Camelia Bejan
    Juan Camilo Gómez
    International Journal of Game Theory, 2009, 38
  • [38] Note On linear consistency of anonymous values for TU-games
    Elena Yanovskaya
    Theo Driessen
    International Journal of Game Theory, 2002, 30 : 601 - 609
  • [39] Moore interval subtraction and interval solutions for TU-games
    Gok, S. Zeynep Alparslan
    Brink, Rene van den
    Palanci, Osman
    ANNALS OF OPERATIONS RESEARCH, 2024, 343 (01) : 293 - 311
  • [40] The γ-core in Cournot oligopoly TU-games with capacity constraints
    Lardon, Aymeric
    THEORY AND DECISION, 2012, 72 (03) : 387 - 411
12345