| 基于图模型理论有序偏好下的冲突反问题研究 |
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| 引用本文： | 赵金帅,徐海燕.基于图模型理论有序偏好下的冲突反问题研究[J].运筹与管理,2018,27(3):143-149. |
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| 作者姓名： | 赵金帅 徐海燕 |
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| 作者单位： | 1.南京航空航天大学 经济与管理学院,江苏 南京 211106; 2.江苏师范大学 计算机科学与技术学院,江苏 徐州 221116 |
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| 基金项目： | 国家自然科学基金资助项目(71471087,71301064,61673209, 71503103);国家社科重点基金项目(12AZD102);教育部人文社科基金(12YJC630262);江苏省自然科学基金项目(BK20150157);江苏省社科基金项目(14GLC008);江苏省普通高校研究生科研创新计划项目(KYZZ15_0102),中央高校基本科研业务费专项基金资助;江苏师范大学科研基金项目(14XLB02) |
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| 摘 要： | 在冲突谈判中,能获知对手偏好是掌握谈判主动性的重要条件。本文基于冲突分析图模型理论构建了一种获取对手偏好的方法。该方法通过深入分析冲突分析图模型中Nash、GMR和SEQ三种稳定性定义,利用反向思维,建立求解对手偏好最少约束条件的数学模型。该方法能让决策者在预知冲突结局的前提下,得到对手的全部偏好信息。以“云南曲靖陆良县铬污染”冲突事件为例,通过对该事件引发的冲突进行建模和偏好分析,在已知冲突最终结局的前提下,运用数学模型,省环保厅可以得到陆良化工企业的所有偏好序,使其在冲突谈判中做到知己知彼,同时也验证了该方法的可行性和有效性。案例分析过程可以从战略层面为谈判中的一方提供参考。
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| 关 键 词： | 反问题 图模型 冲突分析 有序偏好 |
| 收稿时间： | 2015-05-28 |
Research on Inverse Problem Based on the Graph Model for Ordinal Preference |
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| ZHAO Jin-shuai,XU Hai-yan.Research on Inverse Problem Based on the Graph Model for Ordinal Preference[J].Operations Research and Management Science,2018,27(3):143-149. |
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| Authors: | ZHAO Jin-shuai XU Hai-yan |
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| Affiliation: | 1.College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China; 2.School of Computer Science and Technology, Jiangsu Normal University, Xuzhou 221116, China |
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| 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. |
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| Keywords: | inverse problem graph model conflict analysis ordinal preference |
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