On a family of values for TU-games generalizing the Shapley value

Tadeusz Radzik; Theo Driessen

doi:10.1016/j.mathsocsci.2012.10.002

On a family of values for TU-games generalizing the Shapley value

Tadeusz Radzik, Theo Driessen

Discrete Mathematics and Mathematical Programming

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

25 Citations (Scopus)

11 Downloads (Pure)

Abstract

In this paper we study a family of efficient, symmetric and linear values for TU-games, described by some formula generalizing the Shapley value. These values appear to have surprising properties described in terms of the axioms: Fair treatment, monotonicity and two types of acceptability. The results obtained are discussed in the context of the Shapley value, the solidarity value, the least square prenucleolus and the consensus value.

Original language	English
Pages (from-to)	105-111
Journal	Mathematical social sciences
Volume	65
Issue number	2
DOIs	https://doi.org/10.1016/j.mathsocsci.2012.10.002
Publication status	Published - 2013

Keywords

METIS-295865
IR-85563

Access to Document

10.1016/j.mathsocsci.2012.10.002

Cite this

@article{f19577dc938f44ad9f8facfe2aff4d3f,

title = "On a family of values for TU-games generalizing the Shapley value",

abstract = "In this paper we study a family of efficient, symmetric and linear values for TU-games, described by some formula generalizing the Shapley value. These values appear to have surprising properties described in terms of the axioms: Fair treatment, monotonicity and two types of acceptability. The results obtained are discussed in the context of the Shapley value, the solidarity value, the least square prenucleolus and the consensus value.",

keywords = "METIS-295865, IR-85563",

author = "Tadeusz Radzik and Theo Driessen",

year = "2013",

doi = "10.1016/j.mathsocsci.2012.10.002",

language = "English",

volume = "65",

pages = "105--111",

journal = "Mathematical social sciences",

issn = "0165-4896",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - On a family of values for TU-games generalizing the Shapley value

AU - Radzik, Tadeusz

AU - Driessen, Theo

PY - 2013

Y1 - 2013

N2 - In this paper we study a family of efficient, symmetric and linear values for TU-games, described by some formula generalizing the Shapley value. These values appear to have surprising properties described in terms of the axioms: Fair treatment, monotonicity and two types of acceptability. The results obtained are discussed in the context of the Shapley value, the solidarity value, the least square prenucleolus and the consensus value.

AB - In this paper we study a family of efficient, symmetric and linear values for TU-games, described by some formula generalizing the Shapley value. These values appear to have surprising properties described in terms of the axioms: Fair treatment, monotonicity and two types of acceptability. The results obtained are discussed in the context of the Shapley value, the solidarity value, the least square prenucleolus and the consensus value.

KW - METIS-295865

KW - IR-85563

U2 - 10.1016/j.mathsocsci.2012.10.002

DO - 10.1016/j.mathsocsci.2012.10.002

M3 - Article

SN - 0165-4896

VL - 65

SP - 105

EP - 111

JO - Mathematical social sciences

JF - Mathematical social sciences

IS - 2

ER -

On a family of values for TU-games generalizing the Shapley value

Abstract

Keywords

Access to Document

Fingerprint

Cite this