Mathematics to the Rescue of Democracy

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.

“Paolo Serafini has the merit of presenting in a synthetic and pedagogical way the main aspects of the voting theory. This book would be well suited for undergraduate and graduate students who are new to voting theory … . the book is very enjoyable to read … . The present book adds its stone to the series of books on voting theory while distinguishing itself by its pedagogy and simplicity.” (Eric Kamwa, Journal of Economics, Vol. 134, 2021)“This book exposes a variety of social choice systems … . The electoral rules for the formation of the government of several countries are discussed, as examples of application of different aggregation methods, their particular problems and shortcomings are highlighted and opportunities of improvement underlined.” (Annibal Parracho Sant’Anna, zbMATH 1476.91002, 2022)

• 1. Voting.- 2 Aggregating different evaluations into a unique evaluation.- 3 Condorcet.- 4 Borda.- 5 Simple majority and run-off voting.- 6 Impossible wishes.- 7 Majority Judgement.- 8 Legislative territorial representation.- 9 The United States Congress.- 10 Legislative political representation.- 11 Biproportional representation.- 12 Political districting.- 13 Some additional considerations (and personal).- References.- Index.