A core-allocation for a network restricted linear production game

被引：5

作者：

Nishizaki, Ichiro ^{[1
]}

Hayashida, Tomohiro ^{[1
]}

Shintomi, Yuki ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Engn, 1-4-1 Kagamiyama, Higashihiroshima 7398527, Japan

来源：

ANNALS OF OPERATIONS RESEARCH | 2016年 / 238卷 / 1-2期

关键词：

Linear production planning problem; Cooperative game; Network; Core; TOTALLY BALANCED GAMES; SPANNING TREE GAMES; PROGRAMMING-PROBLEMS; OWEN SET; COMMUNICATION; SITUATIONS; COOPERATION;

D O I：

10.1007/s10479-016-2109-4

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper deals with a linear production game with restricted communication. Based on the Owen solution (Owen in Math Progr 9:358-370, 1975), we propose a core-allocation reflecting the communication situation defined by a network. The core of a linear production game with unrestricted communication is included by that of the corresponding network restricted game. Taking this property into account, we develop a procedure for modifying the Owen solution to reflect the configuration of the enlarged core.

引用

页码：389 / 410

页数：22

共 29 条

[1]

[Anonymous], 2001, Social and economic networks in cooperative game theory

[2]

[Anonymous], 1992, HDB GAME THEORY

[3]

Bird G. C., 1976, NETWORKS, V6, P335

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