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The Theory of Social Choice / Peter C. Fishburn.

By: Material type: TextTextSeries: Princeton Legacy Library ; 1757Publisher: Princeton, NJ : Princeton University Press, [2015]Copyright date: ©1973Description: 1 online resource (278 p.)Content type:
Media type:
Carrier type:
ISBN:
  • 9780691619194
  • 9781400868339
Subject(s): DDC classification:
  • 301.15540151
LOC classification:
  • HM73 -- F58 1973eb
Other classification:
  • online - DeGruyter
Online resources: Available additional physical forms:
  • Issued also in print.
Contents:
Frontmatter -- PREFACE AND ACKNOWLEDGMENTS -- CONTENTS -- CHAPTER 1 Introduction -- PART I. SOCIAL CHOICE WITH TWO ALTERNATIVES -- CHAPTER 2. Social Choice Functions for Two Alternatives -- CHAPTER 3. Duality and Representative Systems -- CHAPTER 4. Decisive Coalitions and Representative Systems -- CHAPTER 5. Weighted Voting and Anonymous Choice Functions -- CHAPTER 6. Strong Decisiveness and Special Majorities -- PART II. SIMPLE MAJORITY SOCIAL CHOICE -- CHAPTER 7. Binary Relations and Binary Choices -- CHAPTER 8. Simple Majority Social Choice -- CHAPTER 9. Single-Peaked Preferences -- CHAPTER 10. Guarantees and Triples -- CHAPTER 11. Transitive Majorities -- CHAPTER 12. Condorcet Conditions -- CHAPTER 13. From Borda to Dodgson -- PART III. SOCIAL CHOICE FUNCTIONS -- CHAPTER 14. Conditions for Social Choice -- CHAPTER 15. Choice Functions and Passive Intraprofile Conditions -- CHAPTER 16. Arrow's Impossibility Theorem -- CHAPTER 17. Summation Social Choice Functions -- CHAPTER 18. Lotteries on Social Alternatives -- REFERENCES -- INDEX
Summary: One fundamental premise of democratic theory is that social policy, group choice, or collective action should be based on the preferences of the individuals in the society, group, or collective. Using the tools of formal mathematical analysis, Peter C. Fishburn explores and defines the conditions for social choice and methods for synthesizing individuals' preferences. This study is unique in its emphasis on social choice functions, the general position that individual indifference may not be transitive, and the use of certain mathematics such as linear algebra.The text is divided into three main parts: social choice between two alternatives, which examines a variety of majority-like functions; simple majority social choice, which focuses on social choice among many alternatives when two-element feasible subset choices are based on simple majority; and a general study of aspects and types of social choice functions for many alternatives.Originally published in 1973.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Holdings
Item type Current library Call number URL Status Notes Barcode
eBook eBook Biblioteca "Angelicum" Pont. Univ. S.Tommaso d'Aquino Nuvola online online - DeGruyter (Browse shelf(Opens below)) Online access Not for loan (Accesso limitato) Accesso per gli utenti autorizzati / Access for authorized users (dgr)9781400868339

Frontmatter -- PREFACE AND ACKNOWLEDGMENTS -- CONTENTS -- CHAPTER 1 Introduction -- PART I. SOCIAL CHOICE WITH TWO ALTERNATIVES -- CHAPTER 2. Social Choice Functions for Two Alternatives -- CHAPTER 3. Duality and Representative Systems -- CHAPTER 4. Decisive Coalitions and Representative Systems -- CHAPTER 5. Weighted Voting and Anonymous Choice Functions -- CHAPTER 6. Strong Decisiveness and Special Majorities -- PART II. SIMPLE MAJORITY SOCIAL CHOICE -- CHAPTER 7. Binary Relations and Binary Choices -- CHAPTER 8. Simple Majority Social Choice -- CHAPTER 9. Single-Peaked Preferences -- CHAPTER 10. Guarantees and Triples -- CHAPTER 11. Transitive Majorities -- CHAPTER 12. Condorcet Conditions -- CHAPTER 13. From Borda to Dodgson -- PART III. SOCIAL CHOICE FUNCTIONS -- CHAPTER 14. Conditions for Social Choice -- CHAPTER 15. Choice Functions and Passive Intraprofile Conditions -- CHAPTER 16. Arrow's Impossibility Theorem -- CHAPTER 17. Summation Social Choice Functions -- CHAPTER 18. Lotteries on Social Alternatives -- REFERENCES -- INDEX

restricted access online access with authorization star

http://purl.org/coar/access_right/c_16ec

One fundamental premise of democratic theory is that social policy, group choice, or collective action should be based on the preferences of the individuals in the society, group, or collective. Using the tools of formal mathematical analysis, Peter C. Fishburn explores and defines the conditions for social choice and methods for synthesizing individuals' preferences. This study is unique in its emphasis on social choice functions, the general position that individual indifference may not be transitive, and the use of certain mathematics such as linear algebra.The text is divided into three main parts: social choice between two alternatives, which examines a variety of majority-like functions; simple majority social choice, which focuses on social choice among many alternatives when two-element feasible subset choices are based on simple majority; and a general study of aspects and types of social choice functions for many alternatives.Originally published in 1973.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Issued also in print.

Mode of access: Internet via World Wide Web.

In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)