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.

引用

页码：1522 / 1533

页数：11

共 23 条

[21] Wu J, Chu J, Zhu Q, Et al., DEA cross-efficiency evaluation based on satisfaction degree: An application to technology selection[J], International Journal of Production Research, 54, 20, pp. 5990-6007, (2016)
[22] Osborne M J, Rubinstein A., A course in game theory, (1994)
[23] Wang Y M, Chin K S., A neutral DEA model for cross-efficiency evaluation and its extension[J], Expert Systems with Applications, 37, 5, pp. 3666-3675, (2010)

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