A reconstruction of axiomatic foundations of modern utility theory: toward a construction of unified axiom systems

现代效用理论公理基础的重建：走向统一公理系统的构建

• 批准号: 23653051
• 负责人: NAKAMURA YUTAKA
• 金额: $ 1.25万
• 依托单位: University of Tsukuba
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Challenging Exploratory Research
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2013
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23653051/
• 关键词: 効用理論; 期待効用; 主観的期待効用; 非線形期待効用; 半順序構造; 単項関係; 線形不等式系; ２次不等式系; 2次不等式系

A model of rational economic agent is constructed by the requirement, described as an axiom system, that his/her preferential judgments, is preferred to, for decision alternatives should be rational. In the literature, there have been proposed various axiom systems because decision alternatives are mathematically described in many different ways according to economic environments. This study proposes a unified description of decision alternatives as abstract mathematical objects and partially succeeds to develop a unified axiom system to cover many of the existing axiom systems.

理性经济剂的模型是由被描述为公理制度的要求建立的，即他/她的优先判断是优先的，因为决策替代方案应该是理性的。在文献中，已经提出了各种公理系统，因为根据经济环境，决策替代方案以数学方式描述。这项研究提出了对决策替代方案的统一描述作为抽象的数学对象，并部分成功地开发了一个统一的公理系统，以涵盖许多现有的公理系统。