The Shapley function for multi-choice games on matroids

被引：1

作者：

Meng, F. Y. ^{[1
]}

Zhan, J. Q. ^{[1
]}

机构：

[1] Qingdao Technol Univ, Sch Management, 2 Middle Changjiang Rd, Qingdao, Shandong, Peoples R China

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2015年 / 18卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Multi-choice game; matroid; Shapley function; core;

D O I：

10.1080/09720502.2014.927610

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the model of multi-choice games on matroids is defined. The explicit expression of a Shapley function for the given multi-choice games is presented. Meantime, characterizations of the given Shapley function are discussed. Two of which are inspired by Shapley's axioms for the Shapley function in traditional case; others are enlightened by Young's characterizations for the Shapley function in classical case. When multi-choice games on matroids are convex, the relationship between the core, its subcore and the Shapley function is researched. Finally, a numerical example is given.

引用

页码：321 / 338

页数：18

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