The Shapley value, the Proper Shapley value, and sharing rules for cooperative ventures

被引：9

作者：

van den Brink, Rene ^{[1
,2
]}

Levinsky, Rene ^{[3
,4
]}

Zeleny, Miroslav ^{[5
]}

机构：

[1] Vrije Univ Amsterdam, Sch Business & Econ, Dept Econometr, Boelelaan 1105, NL-1081 HV Amsterdam, Netherlands

[2] Vrije Univ Amsterdam, Sch Business & Econ, Tinbergen Inst, Boelelaan 1105, NL-1081 HV Amsterdam, Netherlands

[3] Ctr Econ Res, Politickych Veznu 936-7, Prague 11000, Czech Republic

[4] Econ Inst, Grad Educ, Politickych Veznu 936-7, Prague 11000, Czech Republic

[5] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Sokolovska 83, Prague 18675, Czech Republic

来源：

OPERATIONS RESEARCH LETTERS | 2020年 / 48卷 / 01期

关键词：

Equity principle; Cooperative venture game; Shapley value; Proper Shapley value;

D O I：

10.1016/j.orl.2019.11.003

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 note, we discuss two solutions for cooperative transferable utility games, namely the Shapley value and the Proper Shapley value. We characterize positive Proper Shapley values by affine invariance and by an axiom that requires proportional allocation of the surplus according to the individual singleton worths in generalized joint venture games. As a counterpart, we show that affine invariance and an axiom that requires equal allocation of the surplus in generalized joint venture games characterize the Shapley value. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：55 / 60

页数：6

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