Shapley value for constant-sum games

Anna B. Khmelnitskaya

doi:10.1007/s001820300154

Shapley value for constant-sum games

Anna B. Khmelnitskaya

Discrete Mathematics and Mathematical Programming

Research output: Contribution to journal › Article › Academic › peer-review

4 Citations (Scopus)

6 Downloads (Pure)

Abstract

It is proved that Young’s [4] axiomatization for the Shapley value by marginalism, efficiency, and symmetry is still valid for the Shapley value defined on the class of nonnegative constant-sum games with nonzero worth of grand coalition and on the entire class of constant-sum games as well.

Original language	English
Pages (from-to)	223-227
Number of pages	5
Journal	International journal of game theory
Volume	32
Issue number	2
DOIs	https://doi.org/10.1007/s001820300154
Publication status	Published - 2003

Keywords

MSC-91A12
Cooperative TU game
Value
Axiomatic characterization
Shapley value

Access to Document

10.1007/s001820300154

Cite this

@article{b9580051045e4378baf69ff406a66e62,

title = "Shapley value for constant-sum games",

abstract = "It is proved that Young{\textquoteright}s [4] axiomatization for the Shapley value by marginalism, efficiency, and symmetry is still valid for the Shapley value defined on the class of nonnegative constant-sum games with nonzero worth of grand coalition and on the entire class of constant-sum games as well.",

keywords = "MSC-91A12, Cooperative TU game, Value, Axiomatic characterization, Shapley value",

author = "Khmelnitskaya, {Anna B.}",

year = "2003",

doi = "10.1007/s001820300154",

language = "English",

volume = "32",

pages = "223--227",

journal = "International journal of game theory",

issn = "0020-7276",

publisher = "Springer",

number = "2",

}

TY - JOUR

T1 - Shapley value for constant-sum games

AU - Khmelnitskaya, Anna B.

PY - 2003

Y1 - 2003

N2 - It is proved that Young’s [4] axiomatization for the Shapley value by marginalism, efficiency, and symmetry is still valid for the Shapley value defined on the class of nonnegative constant-sum games with nonzero worth of grand coalition and on the entire class of constant-sum games as well.

AB - It is proved that Young’s [4] axiomatization for the Shapley value by marginalism, efficiency, and symmetry is still valid for the Shapley value defined on the class of nonnegative constant-sum games with nonzero worth of grand coalition and on the entire class of constant-sum games as well.

KW - MSC-91A12

KW - Cooperative TU game

KW - Value

KW - Axiomatic characterization

KW - Shapley value

UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-0348198263&partnerID=MN8TOARS

U2 - 10.1007/s001820300154

DO - 10.1007/s001820300154

M3 - Article

SN - 0020-7276

VL - 32

SP - 223

EP - 227

JO - International journal of game theory

JF - International journal of game theory

IS - 2

ER -

Shapley value for constant-sum games

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this