A resource allocation mechanism based on novel cross-efficiency

ZHANG Qianwei, LIU Yibo, WANG Xinyu

Systems Engineering - Theory & Practice ›› 2024, Vol. 44 ›› Issue (5) : 1522-1533.

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中国科学院数学与系统科学研究院期刊网
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Systems Engineering - Theory & Practice ›› 2024, Vol. 44 ›› Issue (5) : 1522-1533. DOI: 10.12011/SETP2023-2170

A resource allocation mechanism based on novel cross-efficiency

  • ZHANG Qianwei, LIU Yibo, WANG Xinyu
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Abstract

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.

Key words

novel cross-efficiency / internal and external effects within alliances / participant weights / Shapley values / resource allocation

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ZHANG Qianwei , LIU Yibo , WANG Xinyu. A resource allocation mechanism based on novel cross-efficiency. Systems Engineering - Theory & Practice, 2024, 44(5): 1522-1533 https://doi.org/10.12011/SETP2023-2170

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Funding

National Natural Science Foundation of China (72001207)
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