Game Perspectives of DEA Models and Their Duals
Author(s) -
Fang Xu,
Daqun Zhang,
Guo-liang Yang,
Wenbin Liu
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/879325
Subject(s) - dual polyhedron , mathematical economics , hull , series (stratigraphy) , nash equilibrium , computer science , mathematics , econometrics , mathematical optimization , economics , combinatorics , paleontology , marine engineering , engineering , biology
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
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