A Mathematical Foundation for Voting and Decision Rules

投票和决策规则的数学基础建议研究摘要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。我们有兴趣了解通过使用不同规则获得的结果中可能存在的冲突。结果可能会在许多不同的领域产生相当大的影响，从政治学到工程设计标准。这个项目是为了开发新的方法，当潜在的选民偏好具有一定的结构时，预测特定投票规则的结果。这将通过研究数据的可能结构来实现。将开发用于个人偏好空间的坐标系。然后，将对这些数据应用不同规则所产生的不同结论进行调查和分类。

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.