Donald G. Saari Books

This book is a positive analysis of voting 'paradoxes' and argues that negative 'impossibility' results are not justified.

This textbook invites the reader to develop a holistic grounding in mathematical finance, where concepts and intuition play as important a role as powerful mathematical tools.

The book explores the complexities of election and decision-making procedures, revealing how different tallying methods can lead to unexpected and often contradictory results. It introduces a geometric theory to clarify three-candidate voting systems and critiques widely accepted concepts like the "Condorcet winner." By using "profile coordinates," it visualizes voter preferences and election outcomes, allowing for a comparative analysis of various methods. Additionally, it examines apportionment methods, uncovering new insights into their inherent challenges.