在由两个子决策单元串联组成的两阶段系统中,公平设定中间产品目标对确保和激励两阶段相互合作以达到整个系统的最佳性能至关重要.数据包络分析(DEA)作为系统绩效评估的一种非参数方法吸引了众多学者的注意;基于此方法,本文提出一个考虑公平关切的两阶段DEA模型用于设定两阶段系统中间产品目标,并证明据此模型获得的设定方案正是一个纳什讨价还价博弈的均衡解.
In a two-stage system with the two stages connected in series,fairly setting the target outputs for the first stage,which are also the inputs for the second stage,is critical for ensuring that the two stages have incentives to collaborate with each other so as to achieve the best performance. Data envelopment analysis(DEA),which is a non-parameter approach for performance evaluation of decision making units(DMUs),has drawn a lot of attention from many scholars. In this paper,a new two-stage DEA model taking account of fairness is proposed to set the target intermediate products in a two-stage system. We find that the optimal results of this model are exactly the Nash solution of a Nash bargaining game.