Elections and Fair Division
Elections and Fair Division: An Introduction to Social Choice Theory
English | 2025 | ISBN: 3032060095 | 317 Pages | PDF EPUB (True) | 12 MB
English | 2025 | ISBN: 3032060095 | 317 Pages | PDF EPUB (True) | 12 MB
Part I sheds light on the complexity of fair elections, and presents classical results from social choice theory, including May's, Arrow's, and Gibbard-Satterthwaite's theorems, and how they impact the organization of fair elections. They also discuss the measurement of voting power in such elections via the Penrose-Banzhaf index and the Shapley-Shubik index. Besides these more or less classical topics, the authors introduce Balinski and Laraki's transformative Majority Judgment framework. Moreover, Part I concludes by critically addressing flaws in contemporary Western democracies and proposing an alternative political system.