Toward a Mathematical Foundation for Information and Decision Sciences

建立信息与决策科学的数学基础

• 批准号: 8803505
• 负责人: Donald Saari
• 金额: $ 14.27万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-09-01 至 1992-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8803505&HistoricalAwards=false
• 关键词: Toward; Mathematical; Foundation; Information; Decision

By combining concepts coming from "chaotic dynamical systems," differential geometry, and symmetry, a common mathematical foundation will be created to serve for several, seemingly different models coming rom the informational and decision sciences. Such a foundation permits the transfer of ideas, concepts, and techniques among several different disciplines, and it leads to the development of techniques to solve issues that span the informational sciences. The kinds of problems to be addressed include the analysis of procedures from voting and the decision sciences, techniques from probability and statistics, as well as the design of mechanisms and incentive structures for economics. The reason the results obtained in this research will be interdisciplinary is that the emphasis is on characterizing the combinatoric symmetries of "kinds of defining properties" for models as opposed to the particular properties of a specific model.

通过结合来自“混沌动力学”的概念， 系统，”微分几何，和对称性，一个共同的 数学基础将被创建，以服务于几个， 似乎不同的模型来自信息和 决策科学 这样的基础允许转让 思想、概念和技术， 学科，它导致技术的发展， 解决跨越信息科学的问题。 的种类 要解决的问题包括分析程序， 投票和决策科学，从概率和 统计数据，以及机制和激励措施的设计 经济结构。 本研究中获得的结果 研究将是跨学科的，重点是 刻画了“类定义"的组合对称性 属性”，而不是 一个特定的模型。