Linear measures of inequality for cooperative games

Ezra Einy; Bezalel Peleg

doi:10.1016/0022-0531(91)90159-2

Linear measures of inequality for cooperative games

Ezra Einy, Bezalel Peleg

Department of Economics

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

8 Scopus citations

Abstract

We provide a self-contained axiomatization of linear inequality measures for coalitional games. Adding one axiom to those of Weymark (Math. Soc. Sci. 1 (1981), 409-430), we prove that all such measures must be generalized Gini functions of the Shapley value. Also, we generalize the foregoing result to the spaces pNA(μ) of non-atomic games.

Original language	English
Pages (from-to)	328-344
Number of pages	17
Journal	Journal of Economic Theory
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/0022-0531(91)90159-2
State	Published - 1 Jan 1991

ASJC Scopus subject areas

Economics and Econometrics

Access to Document

10.1016/0022-0531(91)90159-2

Cite this

@article{f98d29c4eb7040838bb3d2e05ca9442d,

title = "Linear measures of inequality for cooperative games",

abstract = "We provide a self-contained axiomatization of linear inequality measures for coalitional games. Adding one axiom to those of Weymark (Math. Soc. Sci. 1 (1981), 409-430), we prove that all such measures must be generalized Gini functions of the Shapley value. Also, we generalize the foregoing result to the spaces pNA(μ) of non-atomic games.",

author = "Ezra Einy and Bezalel Peleg",

year = "1991",

month = jan,

day = "1",

doi = "10.1016/0022-0531(91)90159-2",

language = "English",

volume = "53",

pages = "328--344",

journal = "Journal of Economic Theory",

issn = "0022-0531",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Linear measures of inequality for cooperative games

AU - Einy, Ezra

AU - Peleg, Bezalel

PY - 1991/1/1

Y1 - 1991/1/1

N2 - We provide a self-contained axiomatization of linear inequality measures for coalitional games. Adding one axiom to those of Weymark (Math. Soc. Sci. 1 (1981), 409-430), we prove that all such measures must be generalized Gini functions of the Shapley value. Also, we generalize the foregoing result to the spaces pNA(μ) of non-atomic games.

AB - We provide a self-contained axiomatization of linear inequality measures for coalitional games. Adding one axiom to those of Weymark (Math. Soc. Sci. 1 (1981), 409-430), we prove that all such measures must be generalized Gini functions of the Shapley value. Also, we generalize the foregoing result to the spaces pNA(μ) of non-atomic games.

UR - http://www.scopus.com/inward/record.url?scp=0011622817&partnerID=8YFLogxK

U2 - 10.1016/0022-0531(91)90159-2

DO - 10.1016/0022-0531(91)90159-2

M3 - Article

AN - SCOPUS:0011622817

SN - 0022-0531

VL - 53

SP - 328

EP - 344

JO - Journal of Economic Theory

JF - Journal of Economic Theory

IS - 2

ER -

Linear measures of inequality for cooperative games

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this