Mathematics to the Rescue of Democracy - What does Voting Mean and How can it be Improved?

This book explains, in a straightforward way, the foundations upon which electoral techniques are based in order to shed new light on what we actually do when we vote. The intention is to highlight the fact that no matter how an electoral system has been designed, and regardless of the intentions of those who devised the system, there will be goals that are impossible to achieve but also opportunities for improving the situation in an informed way. While detailed descriptions of electoral systems are not provided, many references are made to current or past situations, both as examples and to underline particular problems and shortcomings. In addition, a new voting method that avoids the many paradoxes of voting theory is described in detail. While some knowledge of mathematics is required in order to gain the most from the book, every effort has been made to ensure that the subject matter is easily accessible for non-mathematicians, too. In short, this is a book for anyone who wants to understand the meaning of voting. 

Paolo Serafini was Professor of Operations Research in the Department of Mathematics, Computer Science, and Physics, University of Udine, Italy for more than 25 years until his retirement in 2016. After the degree in Electronic Engineering, he worked for a few years at FIAT, Grandi Motori, Turin. He joined  the Faculty of Sciences, University of Udine, in 1978 where he became Associate Professor in 1985 and Full Professor in 1990. In the academic year 1995-96, he was Visiting Professor at  Carnegie Mellon University, Pittsburgh, and in 1980, he was Visiting Researcher at the University of California, Berkeley.  He has been a researcher at the International Center for Mechanical Sciences (CISM), Udine since 1975 and was appointed Scientific Editor of the CISM-Springer Lecture Notes series in 2005. His scientific interests have dealt mainly with the development of mathematical models for resource optimization and, in recent years, with the mathematics of electoral systems as well. He is the author of about 80 papers and four books and has also edited six books.