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Game cross efficiency for systems with two-stage structures

Ma, Chaoqun, Liu, Debin, Zhou, Zhongbao, Zhao, Wei, Liu, Wenbin (2014) Game cross efficiency for systems with two-stage structures. Journal of Applied Mathematics, 2014 . ISSN 1687-0042. (doi:10.1155/2014/747596) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:40799)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1155/2014/747596

Abstract

Data envelopment analysis (DEA) is a nonparametric approach for measuring the relative efficiencies of peer decision-making units (DMUs). For systems with two-stage structures, where all the outputs from the first stage are the only inputs to the second stage, the centralized model, which is based on the concept of cooperative game theory, has been widely used to examine the efficiencies of such systems. We define the cross efficiencies of systems with two-stage structures. Since the centralized model may lead to multiple and unacceptable cross efficiencies and rankings of DMUs due to its high flexibility in choosing optimal weights on input and output factors, we develop a game model to obtain a unique cross efficiency measure, which is constructed from the perspective of noncooperative game. An iterative algorithm is then proposed to obtain the game cross efficiencies for the overall systems and subsystems. We use the proposed game model to evaluate the performance of top 30 US commercial banks. The results show that the game model can lead to a unique reasonable cross efficiency for each DMU.

Item Type: Article
DOI/Identification number: 10.1155/2014/747596
Subjects: H Social Sciences > H Social Sciences (General)
Divisions: Faculties > Social Sciences > Kent Business School > Management Science
Depositing User: Tracey Pemble
Date Deposited: 16 Apr 2014 09:31 UTC
Last Modified: 06 May 2020 03:09 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/40799 (The current URI for this page, for reference purposes)
Liu, Wenbin: https://orcid.org/0000-0001-5966-6235
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