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

Mathematics

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