Decomposing a balanced game: A necessary and sufficient condition for the nonemptiness of the core

Takaaki Abe

研究成果: Article

抄録

The Bondareva–Shapley condition is the most eminent necessary and sufficient condition for the core of a transferable utility game to be nonempty. In this paper, we provide a new necessary and sufficient condition. We show that a game has a nonempty core if and only if the game can be decomposed into some simple games.

元の言語English
ページ(範囲)9-13
ページ数5
ジャーナルEconomics Letters
176
DOI
出版物ステータスPublished - 2019 3 1

Fingerprint

Balanced games
Transferable utility games
Simple game

ASJC Scopus subject areas

  • Finance
  • Economics and Econometrics

これを引用

@article{ffc4bfd2408b47de9ba0f62780a98d8b,
title = "Decomposing a balanced game: A necessary and sufficient condition for the nonemptiness of the core",
abstract = "The Bondareva–Shapley condition is the most eminent necessary and sufficient condition for the core of a transferable utility game to be nonempty. In this paper, we provide a new necessary and sufficient condition. We show that a game has a nonempty core if and only if the game can be decomposed into some simple games.",
keywords = "Cooperative game, Core, Decomposition",
author = "Takaaki Abe",
year = "2019",
month = "3",
day = "1",
doi = "10.1016/j.econlet.2018.12.009",
language = "English",
volume = "176",
pages = "9--13",
journal = "Economics Letters",
issn = "0165-1765",
publisher = "Elsevier",

}

TY - JOUR

T1 - Decomposing a balanced game

T2 - A necessary and sufficient condition for the nonemptiness of the core

AU - Abe, Takaaki

PY - 2019/3/1

Y1 - 2019/3/1

N2 - The Bondareva–Shapley condition is the most eminent necessary and sufficient condition for the core of a transferable utility game to be nonempty. In this paper, we provide a new necessary and sufficient condition. We show that a game has a nonempty core if and only if the game can be decomposed into some simple games.

AB - The Bondareva–Shapley condition is the most eminent necessary and sufficient condition for the core of a transferable utility game to be nonempty. In this paper, we provide a new necessary and sufficient condition. We show that a game has a nonempty core if and only if the game can be decomposed into some simple games.

KW - Cooperative game

KW - Core

KW - Decomposition

UR - http://www.scopus.com/inward/record.url?scp=85058516789&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85058516789&partnerID=8YFLogxK

U2 - 10.1016/j.econlet.2018.12.009

DO - 10.1016/j.econlet.2018.12.009

M3 - Article

AN - SCOPUS:85058516789

VL - 176

SP - 9

EP - 13

JO - Economics Letters

JF - Economics Letters

SN - 0165-1765

ER -