Stable effectivity functions and perfect graphs

被引：9

作者：

Boros, E ^{[1
]}

Gurvich, V ^{[1
]}

机构：

[1] Rutgers State Univ, Piscataway, NJ 08854 USA

来源：

MATHEMATICAL SOCIAL SCIENCES | 2000年 / 39卷 / 02期

基金：

美国国家科学基金会;

关键词：

core; kernel; stable effectivity function; perfect graph; kernel-solvable graph;

D O I：

10.1016/S0165-4896(99)00017-7

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

We consider the problem of characterizing the stability of effectivity functions (EFF), via a correspondence between game theoretic and well-known combinatorial concepts. To every EFF we assign a pair of hypergraphs, representing clique covers of two associated graphs, and obtain some necessary and some sufficient conditions for the stability of EFFs in terms of graph-properties. These conditions imply, for example, that to check the stability of an EFF is an NP-complete problem. We also translate some well-known conjectures of graph theory into game theoretic language and vice versa. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：175 / 194

页数：20

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