A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game

A Predtetchinski; P.J.J. Herings

doi:10.1016/S0022-0531(03)00261-8

A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game

A Predtetchinski, P.J.J. Herings^*

^*Corresponding author for this work

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Abstract

it is well-known that a transferable utility game has a non-empty core if and only if it is balanced. In the class of non-transferable utility games balancedness or the more general pi-balancedness due to Billera (SIAM J. Appl. Math. 18 (1970) 567) is a sufficient, but not a necessary condition for the core to be non-empty. This paper gives a natural extension of the pi-balancedness condition that is both necessary and sufficient for non-emptiness of the core. (C) 2003 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	84-92
Number of pages	9
Journal	Journal of Economic Theory
Volume	116
Issue number	1
DOIs	https://doi.org/10.1016/S0022-0531(03)00261-8
Publication status	Published - May 2004
Externally published	Yes

Keywords

Cooperative games
Core
Balancedness
N-PERSON GAME
SIDE-PAYMENTS

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10.1016/S0022-0531(03)00261-8

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AB - it is well-known that a transferable utility game has a non-empty core if and only if it is balanced. In the class of non-transferable utility games balancedness or the more general pi-balancedness due to Billera (SIAM J. Appl. Math. 18 (1970) 567) is a sufficient, but not a necessary condition for the core to be non-empty. This paper gives a natural extension of the pi-balancedness condition that is both necessary and sufficient for non-emptiness of the core. (C) 2003 Elsevier Inc. All rights reserved.

KW - Cooperative games

KW - Core

KW - Balancedness

KW - N-PERSON GAME

KW - SIDE-PAYMENTS

U2 - 10.1016/S0022-0531(03)00261-8

DO - 10.1016/S0022-0531(03)00261-8

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VL - 116

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EP - 92

JO - Journal of Economic Theory

JF - Journal of Economic Theory

IS - 1

ER -

A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game

Abstract

Keywords

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