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Mathematical Problems in Engineering
Volume 2014, Article ID 434252, 9 pages
Research Article

Game Theoretic Approaches to Weight Assignments in Data Envelopment Analysis Problems

Department of Social Engineering, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8550, Japan

Received 30 December 2013; Accepted 6 March 2014; Published 9 April 2014

Academic Editor: Changzhi Wu

Copyright © 2014 Satoru Sekine et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.