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Elections and fair division = an introduction to social choice theory /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Elections and fair division/ by Harrie de Swart, Stefan Wintein.
Reminder of title:	an introduction to social choice theory /
Author:	Swart, H. C. M. de.
other author:	Wintein, Stefan.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xix, 301 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Social choice. -
Online resource:	https://doi.org/10.1007/978-3-032-06010-5
ISBN:	9783032060105

Elections and fair division = an introduction to social choice theory /
Swart, H. C. M. de.

Elections and fair divisionan introduction to social choice theory /[electronic resource] :by Harrie de Swart, Stefan Wintein. - Cham :Springer Nature Switzerland :2025. - xix, 301 p. :ill., digital ;24 cm. - Studies in choice and welfare,2197-8530. - Studies in choice and welfare..

Chapter 1. Different Country, Different Electoral System; Agendas -- Chapter 2. Electoral Rules, Properties and Impossibilities -- Chapter 3. Impossibility and Possibility Theorems; Single-peaked Preferences -- Chapter 4. Majority Judgment -- Chapter 5. Voting Power -- Chapter 6. An Alternative Polity -- Chapter 7. Claims-based Fair Division -- Chapter 8. Bankruptcy Problems -- Chapter 9. Weighted Bankruptcy Problems -- Chapter 10. Weighted Bankruptcy with Discrete Estates: Apportionments and Lotteries -- Chapter 11. Cooperative Game Theory -- Chapter 12. Preference Based Division Problems.

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. In Part II, the book dissects claims-based and preference-based fair division, explaining that the focus will be on the former. In particular, the focus will be on models that can elaborate on and make precise the thought that 'fairness requires that claims are satisfied in proportion to their strength', as advocated for in the philosophical literature. The authors scrutinize various formal models, ranging from (weighted) bankruptcy problems to cooperative games, assessing their alignment with this claims-based conception of fairness. Part II concludes with a brief overview of preference-based fair division. This textbook is a crucial resource for graduate and advanced undergraduate students and scholars, bridging the worlds of mathematics, philosophy, political theory, and social justice.

ISBN: 9783032060105

Standard No.: 10.1007/978-3-032-06010-5doiSubjects--Topical Terms:

528519
Social choice.

LC Class. No.: HB846.8 / .S93 2025

Dewey Class. No.: 302.13

Elections and fair division = an introduction to social choice theory /
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505 0 $a Chapter 1. Different Country, Different Electoral System; Agendas -- Chapter 2. Electoral Rules, Properties and Impossibilities -- Chapter 3. Impossibility and Possibility Theorems; Single-peaked Preferences -- Chapter 4. Majority Judgment -- Chapter 5. Voting Power -- Chapter 6. An Alternative Polity -- Chapter 7. Claims-based Fair Division -- Chapter 8. Bankruptcy Problems -- Chapter 9. Weighted Bankruptcy Problems -- Chapter 10. Weighted Bankruptcy with Discrete Estates: Apportionments and Lotteries -- Chapter 11. Cooperative Game Theory -- Chapter 12. Preference Based Division Problems.
520 $a 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. In Part II, the book dissects claims-based and preference-based fair division, explaining that the focus will be on the former. In particular, the focus will be on models that can elaborate on and make precise the thought that 'fairness requires that claims are satisfied in proportion to their strength', as advocated for in the philosophical literature. The authors scrutinize various formal models, ranging from (weighted) bankruptcy problems to cooperative games, assessing their alignment with this claims-based conception of fairness. Part II concludes with a brief overview of preference-based fair division. This textbook is a crucial resource for graduate and advanced undergraduate students and scholars, bridging the worlds of mathematics, philosophy, political theory, and social justice.
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