Development, applications and verification of decision models with incomplete information for multiple decision makers

在这项研究中，我们处理的决策问题，多个决策者，其中的问题的参数不能明确定义或决策者的一致性不能总是假设。为了找到一个更好的结果，为特定的决策者，我们研究了决策问题的角度来看，我们给决策者一些建议，如何作出决定。通过引入决策者的偏好和信念，并对其他决策者的策略选择进行估计，考察了决策者应该选择的策略。为此，我们制定了一些数学规划问题，并开发了计算方法，以获得最佳解决方案的问题。本研究计划包括以下四个部分：1.我们处理了层次决策问题，并检验了问题中的理性策略.我们开发了基于所提出的模型的决策支持系统.我们将决策支持系统应用于真实的世界问题。本研究利用基于主体的人工社会模型，对集体理性等具有一定规范的社会类型进行了调查。本研究的部分成果在相关领域的国际期刊上发表，并在2001 ~ 2002年度的国际会议上发表了部分论文。此外，我们打算向国内和国际期刊发表一些论文，并在本报告的参考文献中显示了我们在题为“冲突解决的模糊和多目标游戏”一书中继续进行的相关研究工作。

In this research, we dealt with decision making problems with multiple decision makers, in which parameters of the problems cannot be explicitly defined or consistency of the decision makers cannot always be assumed. To find an outcome better for a particular decision maker, we examined the decision making problems from the point of view that we give the decision maker some advice on how to make a decision. By introducing the preference and some belief of the decision maker and estimating choice of strategies of the other decision makers, we examined strategies which should be selected by the decision maker. To do so, we formulated some mathematical programming problems and developed computational methods for obtaining optimal solutions to the problems. The research program consisted of the following four parts :1. We dealt with hierarchal decision making problems and examined rational strategies in the problems.2. We developed decision support systems based on the proposed models.3. We applied the decision support systems to real world problems.4. We investigated types of societies in which a certain norm such as the collective rationality holds by using agent-based artificial society models.We have published a part of the results of the above research program in international journals of the related fields and have also presented some papers in international conferences in 2001-2002. Moreover we intend to contribute some papers to domestic and international journals, and the related research works that we have been continuing presented in the book entitled "Fuzzy and Multiobjective Games for Conflict Resolution" as is shown in the References of this report.