数据包络分析(Data Envelopment Analysis,DEA)与博弈论之间关系密切。传统DEA模型忽略了决策单元(Decision Making Units,DMUs)之间的竞合关系,对权重的限制过于宽松,难以合理评价DMU效率值。为此,将博弈论方法引入至DEA模型,开展DEA的博弈研究,既是对DEA理论的重大发展,也将极大拓宽博弈论的应用研究。本文分三个阶段对现有的DEA博弈研究进行述评:(1)DEA的博弈论解释;(2)DEA Game模型及其应用;(3)DEA效率博弈;在深入分析重点模型基础上,总结其发展脉络,促进DEA理论与实践的发展。
There is a close relationship between Data Envelopment Analysis(DEA) and Game Theory.In traditional DEA models,the inter-relationship among decision making units(DMUs) is ignored,and the loose limit on weights makes it difficult to evaluate rationally the efficiency value of DMU.Therefore,introducing the Game Theory to DEA model and probing DEA Game research,will not only benefit the development of DEA theory,but greatly extend the research for the application of Game Theory.In the paper,three phases of DEA Game research are summarized and reviewed:(1) explanation of DEA with Game Theory;(2) DEA Game models and their application;(3) DEA Efficiency Game.Based on the in-depth analyses of important DEA Game models,the evolvement of DEA Game research is outlined to promote the development for the theory and application of DEA.