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Elections and Fair Division: An Introduction to Social Choice Theory

Elections and Fair Division: An Introduction to Social Choice Theory

Hardcover

Series: Studies in Choice and Welfare

EconomicsGeneral MathematicsGeneral Political Science

ISBN10: 3032060095
ISBN13: 9783032060099
Publisher: Springer
Published: Nov 12 2025
Pages: 301
Weight: 1.39
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
This graduate textbook introduces to social choice theory, with a specific focus on elections and fair division, supported by mathematical theories and practical implications.

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.

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