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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 879325, 7 pages
http://dx.doi.org/10.1155/2013/879325
Research Article

Game Perspectives of DEA Models and Their Duals

1Institute of Policy and Management, Chinese Academy of Sciences, Beijing 100080, China
2Department of Accounting, Temple University, Philadelphia, PA 19122, USA
3Kent Business School, University of Kent, Canterbury CT 7PE, UK

Received 22 September 2013; Accepted 7 November 2013

Academic Editor: Pei-ai Zhang

Copyright © 2013 Fang Xu 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.

Abstract

We present a series of two-person games, which lead to various DEA models. The relationship between the DEA models and the games is explicit in our setting, although the Nash equilibrium solutions do not generally exist. Besides the classic DEA models, we also establish an explicit relationship between the games and some extended DEA models, such as free disposable hull DEA models and “negative” or “inverted” DEA models.