A Mathematical Foundation for Voting and Decision Rules

投票和决策规则的数学基础

• 批准号: 0631362
• 负责人: Donald Saari
• 金额: $ 29.93万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-09-15 至 2011-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0631362&HistoricalAwards=false
• 关键词: Mathematical; Foundation; Voting; Decision; Rules

A Mathematical Foundation for Voting and Decision RulesAbstract of Proposed ResearchDonald G. SaariThis research is to study the possible results of using different decision and voting rules in political and business decision making. We are interested in understanding possible conflicts in the results obtained by using different rules. The results may have considerable impact in many different areas ranging from political science to design criteria in engineering.This project is to develop new methodologies for anticipating the results of particular voting rules when the underlying voter preferences have certain structures. This will be done by studying the possible structures of the data. Coordinate systems for the space of individual preferences will be developed. Then the different conclusions associated with applying different rules to this data will be investigated and classified.

投票和决策规则的数学基础。Saari本研究旨在研究在政治和商业决策中使用不同的决策和投票规则可能产生的结果。我们感兴趣的是理解通过使用不同规则获得的结果中可能存在的冲突。结果可能有相当大的影响，在许多不同的领域，从政治科学的设计标准在engineering.This项目是开发新的方法来预测特定的投票规则的结果时，潜在的选民偏好有一定的结构。这将通过研究数据的可能结构来完成。将建立个人偏好空间的协调系统。然后，将研究和分类与对这些数据应用不同规则相关的不同结论。