Game Perspectives of DEA Models and Their Duals

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 betw...

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Main Authors: Fang Xu, DaQun Zhang, GuoLiang Yang, WenBin Liu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/879325
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author Fang Xu
DaQun Zhang
GuoLiang Yang
WenBin Liu
author_facet Fang Xu
DaQun Zhang
GuoLiang Yang
WenBin Liu
author_sort Fang Xu
collection DOAJ
description 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.
format Article
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institution OA Journals
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-36dc4db55bc646f794d9f62c120e5dc92025-08-20T02:07:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/879325879325Game Perspectives of DEA Models and Their DualsFang Xu0DaQun Zhang1GuoLiang Yang2WenBin Liu3Institute of Policy and Management, Chinese Academy of Sciences, Beijing 100080, ChinaDepartment of Accounting, Temple University, Philadelphia, PA 19122, USAInstitute of Policy and Management, Chinese Academy of Sciences, Beijing 100080, ChinaKent Business School, University of Kent, Canterbury CT 7PE, UKWe 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.http://dx.doi.org/10.1155/2013/879325
spellingShingle Fang Xu
DaQun Zhang
GuoLiang Yang
WenBin Liu
Game Perspectives of DEA Models and Their Duals
Journal of Applied Mathematics
title Game Perspectives of DEA Models and Their Duals
title_full Game Perspectives of DEA Models and Their Duals
title_fullStr Game Perspectives of DEA Models and Their Duals
title_full_unstemmed Game Perspectives of DEA Models and Their Duals
title_short Game Perspectives of DEA Models and Their Duals
title_sort game perspectives of dea models and their duals
url http://dx.doi.org/10.1155/2013/879325
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AT daqunzhang gameperspectivesofdeamodelsandtheirduals
AT guoliangyang gameperspectivesofdeamodelsandtheirduals
AT wenbinliu gameperspectivesofdeamodelsandtheirduals