Mathematical Analysis of Conflict Resolution

冲突解决的数学分析

• 批准号: 12680444
• 负责人: SHISHIDO Harunori
• 金额: $ 0.77万
• 依托单位: Kagawa University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12680444/
• 关键词: Conflict; Arbitration; Fair Division; Possibilistic Theory; Inconsistency Degree; Prisoner's Dilemma; 紛争; 公平; ゲーム; ラフ集合理論

We have published 6 papers and made 4 presentations. The summary of each article is as follows:(1) We give a new existence result for a general game. Then the result is applied to the symmetric arbitration games FOA and DOA. It is shown that DOA leads to a convergence of offers but FOA does not.(2) We present a new moving knife procedures for ε-approximate envy-free cake division, whose idea also works well for chores division. The procedure is generalized to multi-fair division. The number of necessary cuts is bounded.(3) Multi-source possibilistic information is presented by a set of possibilistic constraints to characterize decision variables from different information aspects. Possibilistic linear programming is used to integrate multi-source information into upper and lower possibility distributions of decision vector.(4) We investigate the conflict situation of experts' knowledge. We present how to resolve such conflict to obtain more reliable and refine knowledge that can be used for decision-making.(5) An alternating prisoner's dilemma game of linear function moves is considered. We present the existence condition of stable equilibrium points when a player plays a game against the players using the same type of strategies.(6) A dispute among the local government and residents of two regions is analyzed. We present the resolution of the dispute.(7) We show that the deficiency of combined arbitration and double-offer arbitration can be corrected by a combination with conventional arbitration.

我们发表了6篇论文，做了4次演讲。本文的主要内容如下：（1）给出了一般对策的一个新的存在性结果。然后将所得结果应用于对称仲裁对策FOA和DOA。结果表明，DOA导致收敛的报价，但FOA不。(2)提出了一种新的ε-近似无妒蛋糕分割的动刀方法，其思想同样适用于家务分割。该过程被推广到多公平划分。必要的切割次数是有界的。(3)多源可能性信息由一组可能性约束来表示，从不同的信息角度刻画决策变量。利用可能性线性规划将多源信息整合为决策向量的上、下可能性分布。(4)我们调查了专家知识冲突的情况。我们提出了如何解决这种冲突，以获得更可靠的和完善的知识，可用于决策。(5)研究了一类线性函数移动的交替囚徒困境博弈。给出了局中人与采用相同策略的局中人进行博弈时稳定均衡点的存在条件。(6)本文分析了两个地区的地方政府和居民之间的纠纷。我们提出解决争端的办法。(7)我们认为，合并仲裁和双重要约仲裁的不足可以通过与传统仲裁的合并来弥补。

项目成果

Guo, P., Zeng, D.-Z., Shishido, H.: "Possibilistic Conflict Analysis for Group Decision"IEEE Transactions on Systems, Man and Cybernetics 2001 Conference Proceedings. 1224-1228 (2001)

郭，P.，曾，D.-Z.，Shishido，H.：“群体决策的可能性冲突分析”IEEE Transactions on Systems, Man and Cyber​​netics 2001 Conference Proceedings。

Guo, P., Zeng, D.-Z., Shishido, H.: "Group analysis based on possibility theory for group decision problems"Abstracts of 2001 European Operational Research Conference. 167 (2001)

郭平、曾德志、孺户浩：“群决策问题基于可能性理论的群分析”2001年欧洲运筹学会议摘要。

Guo,P.,Tanaka,H.and Zimmermann,H.-J.: "Upper and lower possibility distributions of fuzzy decision variables in upper level decision problems"Fuzzy Sets and Systems. 111. 71-79 (2000)

郭，P.，田中，H.和齐默尔曼，H.-J.：“上层决策问题中模糊决策变量的上概率分布和下概率分布”模糊集和系统。

Zeng, D.-Z., Shishido, H.: "Convergence analysis for symmetric arbitration games FOA and DOA"International Transactions in Operations Research. 8・2. 1-11 (2001)

Zeng, D.-Z.，Shishido, H.：“对称仲裁博弈 FOA 和 DOA 的收敛性分析”《国际运筹学报》8・2（2001 年）。

Guo, P., Entani, T., Tanaka, H.: "Fusion of multi-dimensional possibilistic information via possibilistic linear programming"Journal of the Operations Research Society of Japan. 44. 220-229 (2001)

郭 P.、Entani, T.、田中 H.：“通过可能性线性规划融合多维可能性信息”日本运筹学会杂志。