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.

理性经济主体的模型是由一个公理系统来描述的，即他/她的偏好判断，是首选的，因为决策方案应该是理性的。在文献中，已经提出了各种公理系统，因为决策方案根据经济环境以许多不同的方式进行数学描述。本研究提出了一个统一的描述决策方案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。