Null, nullifying, or dummifying players: The difference between the Shapley value, the equal division value, and the equal surplus division value

被引：45

作者：

Casajus, Andre ^{[1
,2
,3
]}

Huettner, Frank ^{[1
,2
]}

机构：

[1] HHL Leipzig Grad Sch Management, Chair Econ & Informat Syst, D-04109 Leipzig, Germany

[2] LSI Leipziger Spieltheoret Inst, Leipzig, Germany

[3] Univ Leipzig, Inst Theoret Volkswirtschaftslehre, D-04009 Leipzig, Germany

来源：

ECONOMICS LETTERS | 2014年 / 122卷 / 02期

关键词：

Solidarity; Nullifying player; Dummifying player; Equal division value; Equal surplus division value; Monotonicity; SOLIDARITY VALUE; GAMES;

D O I：

10.1016/j.econlet.2013.11.008

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

We provide new characterisations of the equal surplus division value. This way, the difference between the Shapley value, the equal surplus division value, and the equal division value is pinpointed to one axiom. (C) 2013 Elsevier BM. All rights reserved.

引用

收藏

页码：167 / 169

页数：3

相关论文

共 12 条

[1] Fairness and fairness for neighbors: The difference between the Myerson value and component-wise egalitarian solutions [J].

Beal, Sylvain ;

Remila, Eric ;

Solal, Philippe .

ECONOMICS LETTERS, 2012, 117 (01) :263-267

[2]

Chun Y., 1989, GAMES EC BEHAV, V1, P119, DOI [10.1016/0899-8256(89)90014-6, DOI 10.1016/0899-8256(89)90014-6]

[3] Population solidarity, population fair-ranking, and the egalitarian value [J].

Chun, Youngsub ;

Park, Boram .

INTERNATIONAL JOURNAL OF GAME THEORY, 2012, 41 (02) :255-270

[4] COINCIDENCE OF AND COLLINEARITY BETWEEN GAME THEORETIC SOLUTIONS [J].

DRIESSEN, TSH ;

FUNAKI, Y .

OR SPEKTRUM, 1991, 13 (01) :15-30

[5] Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value [J].

Kamijo, Yoshio ;

Kongo, Takumi .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2012, 216 (03) :638-646

[6] Axiomatization of the Shapley value using the balanced cycle contributions property [J].

Kamijo, Yoshio ;

Kongo, Takumi .

INTERNATIONAL JOURNAL OF GAME THEORY, 2010, 39 (04) :563-571

[7] A SOLIDARITY VALUE FOR N-PERSON TRANSFERABLE UTILITY GAMES [J].

NOWAK, AS ;

RADZIK, T .

INTERNATIONAL JOURNAL OF GAME THEORY, 1994, 23 (01) :43-48

[8]

Shapley LS., 1953, Contributions to the Theory of Games (AM-28), V2, P307, DOI [DOI 10.1515/9781400881970-018, 10.1515/9781400881970-018]

[9]

van den Brink R., 2012, 20121362 VU AMST TIN

[10] Null or nullifying players: The difference between the Shapley value and equal division solutions [J].

van den Brink, Rene .

JOURNAL OF ECONOMIC THEORY, 2007, 136 (01) :767-775