Game Perspectives of DEA Models and Their Duals

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: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/879325
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spelling doaj-36dc4db55bc646f794d9f62c120e5dc92020-11-25T01:58:24ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Fang Xu
DaQun Zhang
GuoLiang Yang
WenBin Liu
spellingShingle Fang Xu
DaQun Zhang
GuoLiang Yang
WenBin Liu
Game Perspectives of DEA Models and Their Duals
Journal of Applied Mathematics
author_facet Fang Xu
DaQun Zhang
GuoLiang Yang
WenBin Liu
author_sort Fang Xu
title Game Perspectives of DEA Models and Their Duals
title_short 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_sort game perspectives of dea models and their duals
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
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.
url http://dx.doi.org/10.1155/2013/879325
work_keys_str_mv AT fangxu gameperspectivesofdeamodelsandtheirduals
AT daqunzhang gameperspectivesofdeamodelsandtheirduals
AT guoliangyang gameperspectivesofdeamodelsandtheirduals
AT wenbinliu gameperspectivesofdeamodelsandtheirduals
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