scholarly journals Game Theoretic Approaches to Weight Assignments in Data Envelopment Analysis Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Satoru Sekine ◽  
Jing Fu ◽  
Shigeo Muto
Keyword(s):  
Data Envelopment Analysis ◽  
Total Weight ◽  
Data Envelopment ◽  
Alternative Scheme ◽  
Game Theoretic ◽  
Divisible Goods

This paper deals with the problem of fairly allocating a certain amount of divisible goods or burdens among individuals or organizations in the multicriteria environment. It is analyzed within the framework of data envelopment analysis (DEA). We improve the game proposed by Nakabayashi and Tone (2006) and develop an alternative scheme by reassigning the total weight or power for the coalition members. The solutions and equilibria of the new DEA game proposed in this paper are also studied.

Improving efficiency evaluation in tourism analysis: weight restrictions models and value judgments

2020 ◽  
Author(s):  
Pilar Alberca ◽  
Jorge Santos
Keyword(s):  
Performance Evaluation ◽  
Data Envelopment Analysis ◽  
Practical Implication ◽  
Operational Efficiency ◽  
Total Weight ◽  
Data Envelopment ◽  
Efficiency Evaluation ◽  
Weight Restrictions ◽  
Value Judgments ◽  
And Performance

The aim of this study is to analyze the operational efficiency of tourism firms usingweights-restricted Data Envelopment Analysis (DEA) in a mathematical optimizationframework. The use of weight restrictions has been applied in several studies onefficiency and performance evaluation, in order to account for the decision maker’sinformation. In this study, a non-standard approach to operational efficiency evaluationis applied, in an attempt to overcome certain limitations in tourism analysis; namely, thefact that the analyst may choose to consider only a few rather than all of the inputvariables. One of the main findings of this study is that total weight flexibility can leadto non-rational weights due to the fact that certain inputs are effectively ignored.Furthermore, total weight flexibility can result in too many units being assessed as efficient, reducing the discriminatory power of the model. This problem can be solvedby applying weight restrictions. A first practical implication is that the weighted DEAmodel yields better efficiency estimations. Moreover, since a high number of efficientunits could be considered an unrealistic result, the findings of this study demonstratethat the choice of weighted or restricted DEA model produces more accurate efficiencyresults.

Data Envelopment Analysis Theory, Methodology and Applications

1997 ◽  
Vol 48 (3) ◽  
pp. 332-333 ◽  
Author(s):  
A Charnes ◽  
W Cooper ◽  
A Y Lewin ◽  
L M Seiford
Keyword(s):  
Data Envelopment Analysis ◽  
Data Envelopment ◽  
Analysis Theory
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