Abstract
Geometry is used to analyze the surprisingly complex topic of “voting:” It is used to find classes of profiles where different rules have conflicting outcomes, to uncover new voting paradoxes, to determine the likelihood of disagreement among election outcomes, to explain classical mysteries such as the “paradox of voting,” and to analyze a variety of seemingly disparate topics such as strategic behavior, monotonicity, and the “no-show” paradox. Another geometric approach identifies all possible positional and Approval Voting election outcomes generated by a profile: the converse creates a geometric tool to identify new election relationships. A geometric “profile decomposition” identifies and explains all possible differences in positional and pairwise voting outcomes.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
