非合作博弈两阶段生产系统的环境效率评价

Eco-efficiency evaluation of non-cooperative game two-stage production system

本文研究了环境效率评价中广泛存在的一类典型问题:两阶段非合作博弈的效率评价问题,该问题有两个明显的特点:(1)决策单元由经济生产子系统和污染物处理子系统两个阶段的子系统构成,(2)经济生产子系统产生的污染物由污染物处理子系统进行处理,且经济生产子系统居于主导地位,而污染物处理子系统居于从属地位.文章在分析各个决策单元整体效率与其子系统效率之间关系的基础上,提出一种能够同时评价决策单元整体效率和其子系统效率的DEA方法;然后引入非合作博弈思想,提出了基于两阶段非合作博弈的环境效率评价的DEA方法;最后采用中国各地区的工业系统的环境效率评价的实例分析说明了该方法的合理性和有效性.由于文章提出的方法能够有效地分析决策单元内部子系统的有效性水平,能够反映子系统之间的主从关系,能够发掘影响决策单元效率的关键因素,因而能够给出更为有效的环境管理信息,为决策者的决策提供科学的依据.

In practice, there exists a typical kind of eco-efficiency evaluation problem which has the following characteristics： （1） a decision-making unit （DMU） can be separated into two stages： the first stage is a pro- duction sub-unit and the second stage is a pollutant cleaning sub-unit; （2） in any DMU, the production sub- unit is the leader, and the undesirable outputs （pollutants） emitted by the production sub-unit are the internal inputs of the pollutant cleaning sub-unit. To solve this kind of problem, this paper firstly presents a DEA ap- proach which can evaluate a DMU＇ s efficiency and its sub-units＇ efficiencies simultaneously. Then, based on the idea of non-cooperative game, a game DEA approach is provided to deal with the proposed efficiency eval- uation problem. A case with real data set of regional industrial system in China is employed to illustrate the reasonability of the proposed method. Since the model can effectively analyze all internal sub-units＇ efficien- cies of a DMU with non-cooperative game components, and can find key factors for efficiency improvement, the developed approach can imply more veracious decision-making information for enviro^Lmental management.