The Shapley value for the probability game

Dongshuang Hou; Genjiu Xu; Panfei Sun; Theo Driessen

doi:10.1016/j.orl.2018.06.004

The Shapley value for the probability game

Dongshuang Hou^*
, Genjiu Xu
, Panfei Sun
, Theo Driessen

^*Corresponding author for this work

Discrete Mathematics and Mathematical Programming

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

14 Citations (Scopus)

15 Downloads (Pure)

Abstract

The main goal of this paper is to introduce the probability game. On one hand, we analyze the Shapley value by providing an axiomatic characterization. We propose the so-called independent fairness property, meaning that for any two players, the player with larger individual value gets a larger portion of the total benefit. On the other, we use the Shapley value for studying the profitability of merging two agents.

Original language	English
Pages (from-to)	457-461
Number of pages	5
Journal	Operations research letters
Volume	46
Issue number	4
DOIs	https://doi.org/10.1016/j.orl.2018.06.004
Publication status	Published - Jul 2018

Keywords

Independent fairness property
Probability game
Shapley value
n/a OA procedure

Access to Document

10.1016/j.orl.2018.06.004

Cite this

@article{d3e7eee5a7344e9285433b830a19a1c1,

title = "The Shapley value for the probability game",

abstract = "The main goal of this paper is to introduce the probability game. On one hand, we analyze the Shapley value by providing an axiomatic characterization. We propose the so-called independent fairness property, meaning that for any two players, the player with larger individual value gets a larger portion of the total benefit. On the other, we use the Shapley value for studying the profitability of merging two agents.",

keywords = "Independent fairness property, Probability game, Shapley value, n/a OA procedure",

author = "Dongshuang Hou and Genjiu Xu and Panfei Sun and Theo Driessen",

year = "2018",

month = jul,

doi = "10.1016/j.orl.2018.06.004",

language = "English",

volume = "46",

pages = "457--461",

journal = "Operations research letters",

issn = "0167-6377",

publisher = "Elsevier B.V.",

number = "4",

}

TY - JOUR

T1 - The Shapley value for the probability game

AU - Hou, Dongshuang

AU - Xu, Genjiu

AU - Sun, Panfei

AU - Driessen, Theo

PY - 2018/7

Y1 - 2018/7

N2 - The main goal of this paper is to introduce the probability game. On one hand, we analyze the Shapley value by providing an axiomatic characterization. We propose the so-called independent fairness property, meaning that for any two players, the player with larger individual value gets a larger portion of the total benefit. On the other, we use the Shapley value for studying the profitability of merging two agents.

AB - The main goal of this paper is to introduce the probability game. On one hand, we analyze the Shapley value by providing an axiomatic characterization. We propose the so-called independent fairness property, meaning that for any two players, the player with larger individual value gets a larger portion of the total benefit. On the other, we use the Shapley value for studying the profitability of merging two agents.

KW - Independent fairness property

KW - Probability game

KW - Shapley value

KW - n/a OA procedure

UR - https://www.scopus.com/pages/publications/85048810957

U2 - 10.1016/j.orl.2018.06.004

DO - 10.1016/j.orl.2018.06.004

M3 - Article

AN - SCOPUS:85048810957

SN - 0167-6377

VL - 46

SP - 457

EP - 461

JO - Operations research letters

JF - Operations research letters

IS - 4

ER -

The Shapley value for the probability game

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this