Game Cross Efficiency for Systems with Two-Stage Structures
Joint Authors
Zhou, Zhongbao
Ma, Chaoqun
Zhao, Wei
Liu, Debin
Liu, Wenbin
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ma, Chaoqun& Liu, Debin& Zhou, Zhongbao& Zhao, Wei& Liu, Wenbin. 2014. Game Cross Efficiency for Systems with Two-Stage Structures. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-495508
Modern Language Association (MLA)
Ma, Chaoqun…[et al.]. Game Cross Efficiency for Systems with Two-Stage Structures. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-495508
American Medical Association (AMA)
Ma, Chaoqun& Liu, Debin& Zhou, Zhongbao& Zhao, Wei& Liu, Wenbin. Game Cross Efficiency for Systems with Two-Stage Structures. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-495508
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495508