An axiomatization of the Shapley value using a fairness property

被引：91
|
作者：
van den Brink, R [1 ]
机构：
[1] Free Univ Amsterdam, Dept Econometr, NL-1081 HV Amsterdam, Netherlands
来源：
INTERNATIONAL JOURNAL OF GAME THEORY | 2002年 / 30卷 / 03期
关键词：
TU-game; Shapley value; fairness; simple games;
D O I：
10.1007/s001820100079
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
In this paper we provide an axiomatization of the Shapley value for TU-games using a fairness property. This property states that if to a game we add another game in which two players are symmetric then their payoffs change by the same amount. We show that the Shapley value is characterized by this fairness property, efficiency and the null player property. These three axioms also characterize the Shapley value on the class of simple games.
引用
收藏
页码：309 / 319
页数：11
相关论文
共 50 条
  • [1] An axiomatization of the Shapley value using a fairness property
    René van den Brink
    International Journal of Game Theory, 2002, 30 : 309 - 319
  • [2] Axiomatization of the Shapley value using the balanced cycle contributions property
    Kamijo, Yoshio
    Kongo, Takumi
    INTERNATIONAL JOURNAL OF GAME THEORY, 2010, 39 (04) : 563 - 571
  • [3] Axiomatization of the Shapley value using the balanced cycle contributions property
    Yoshio Kamijo
    Takumi Kongo
    International Journal of Game Theory, 2010, 39 : 563 - 571
  • [4] The grey Shapley value: an axiomatization
    Ekici, M.
    Palanci, O.
    Gok, S. Z. Alparslan
    4TH INTERNATIONAL CONFERENCE ON OPERATIONAL RESEARCH (INTERIOR), 2018, 300
  • [5] The interval Shapley value: an axiomatization
    S. Z. Alparslan Gök
    R. Branzei
    S. Tijs
    Central European Journal of Operations Research, 2010, 18 : 131 - 140
  • [6] The interval Shapley value: an axiomatization
    Gok, S. Z. Alparslan
    Branzei, R.
    Tijs, S.
    CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH, 2010, 18 (02) : 131 - 140
  • [7] CONSECUTIVE AMALGAMATIONS AND AN AXIOMATIZATION OF THE SHAPLEY VALUE
    HAVIV, M
    ECONOMICS LETTERS, 1995, 49 (01) : 7 - 11
  • [8] The New Axiomatization of the Grey Shapley Value
    Palanci, Osman
    JOURNAL OF GREY SYSTEM, 2021, 33 (03): : 67 - 77
  • [9] Membership separability: A new axiomatization of the Shapley value
    de Clippel, Geoffroy
    GAMES AND ECONOMIC BEHAVIOR, 2018, 108 : 125 - 129
  • [10] Weak addition invariance and axiomatization of the weighted Shapley value
    Koji Yokote
    International Journal of Game Theory, 2015, 44 : 275 - 293
12345