关键词: 反问题, 图模型, 冲突分析, 有序偏好

Abstract: In conflict negotiation, the vital condition is that you have acquired opponent’s preference for mastering initiative in hands. In this paper, a method is proposed for obtaining the preference within the framework of graph model for conflict resolution (GMCR). Through in-depth analyses of the three stability definitions of Nash, GMR and SEQ in GMCR, some mathematical models are constructed to get the opponent’s preference, which include least constraint conditions using inverse way of thinking in this research. In the premise of having known the outcome of a conflict,the method can make the decision maker gain his opponent’s preference. The proposed approach is employed for the conflict, Chromium pollution in Luliang county, Qujing city, Yunnan province, in which there are two main decision makers: Environmental protection department of Yunnan province and Luliang chemical enterprise. First, the GMCR model of this conflict is established. Then, its preference and the final stability outcome are analyzed. Finally, using the mathematical models proposed above, the Environmental protection department of Yunnan province can obtain all of its opponent’s preference ranking which make it in an invincible position in conflict negotiation. At the same time, the method’s feasibility and validity are verified. The results from this research provide a valuable view for one side in the conflict negotiation.

Key words: inverse problem, graph model, conflict analysis, ordinal preference