A resource allocation mechanism based on novel cross-efficiency

被引：0
|
作者：
Zhang Q. [1 ]
Liu Y. [1 ]
Wang X. [1 ]
机构：
[1] School of Mathematics, Renmin University of China, Beijing
来源：
Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice | 2024年 / 44卷 / 05期
基金：
中国国家自然科学基金;
关键词：
internal and external effects within alliances; novel cross-efficiency; participant weights; resource allocation; Shapley values;
D O I：
10.12011/SETP2023-2170
中图分类号：
学科分类号：
摘要：
In this paper, we combine data envelopment analysis (DEA) with cooperative game theory to create a fair resource allocation mechanism in alliances. We introduce a novel cross-efficiency measure that considers both internal and external effects within alliances. Weight assignments are used to reflect the importance of internal and external DMUs. We establish a cooperative game characteristic function based on this cross-efficiency, show the super-additivity of the characteristic function and prove the core non-emptiness of the cooperative game. Finally, we design a resource allocation mechanism using the Shapley value based on the characteristic function and demonstrate its practical application through a numerical example and an empirical analysis. © 2024 Systems Engineering Society of China. All rights reserved.
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页码：1522 / 1533
页数：11
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