Cycles and Social Choice
eBook - PDF

Cycles and Social Choice

The True and Unabridged Story of a Most Protean Paradox

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Cycles and Social Choice

The True and Unabridged Story of a Most Protean Paradox

About this book

The centuries-old paradox of voting is that majorities sometimes prefer x to y, y to z, and z to x - a cycle. The discovery of the sources and consequences of such cycles, under majority rule and countless other regimes, constitutes much of the mathematical theory of voting and social choice. This book explores the big questions posed by the paradox of voting: positive questions about how to predict outcomes and explain observed stability, and normative questions about how to hold elections, how to take account of preference intensities, the relevance of social welfare to social choice, and challenges to formal 'rationality', individual and social. The overall lesson is that cycles are facts, ubiquitous, and consequential in non-obvious ways, not puzzles to be solved, much less maladies or misfortunes to be avoided or regretted.

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Yes, you can access Cycles and Social Choice by Thomas Schwartz in PDF and/or ePUB format, as well as other popular books in Politics & International Relations & American Government. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title page
  3. Title page
  4. Copyright page
  5. Dedication
  6. Contents
  7. Acknowledgements
  8. Introduction
  9. 1 Condorcet’s Two Discoveries
  10. 2 Incidence of the Paradox
  11. 3 Social Rationality
  12. 4 Arrovian Cycle Theorems
  13. 5 Second Line of Cycle Theorems: Condorcet Generalizations
  14. 6 Top Cycles in a Fixed Feasible Set
  15. 7 Strategic Consequences of Cycles
  16. 8 Structural Consequences of Cycles
  17. 9 Questions about Prediction and Explanation
  18. 10 Questions about Prescription and Evaluation
  19. Concluding Caveats
  20. Underbook: Background and Sources by Chapter
  21. References
  22. Index