CONTENTS

Chapters in this book

1. Frontmatter i
2. PREFACE AND ACKNOWLEDGMENTS vii
3. CONTENTS ix
4. CHAPTER 1 Introduction 1
5. PART I. SOCIAL CHOICE WITH TWO ALTERNATIVES
6. CHAPTER 2. Social Choice Functions for Two Alternatives 15
7. CHAPTER 3. Duality and Representative Systems 26
8. CHAPTER 4. Decisive Coalitions and Representative Systems 39
9. CHAPTER 5. Weighted Voting and Anonymous Choice Functions 50
10. CHAPTER 6. Strong Decisiveness and Special Majorities 61
11. PART II. SIMPLE MAJORITY SOCIAL CHOICE
12. CHAPTER 7. Binary Relations and Binary Choices 71
13. CHAPTER 8. Simple Majority Social Choice 86
14. CHAPTER 9. Single-Peaked Preferences 100
15. CHAPTER 10. Guarantees and Triples 111
16. CHAPTER 11. Transitive Majorities 131
17. CHAPTER 12. Condorcet Conditions 145
18. CHAPTER 13. From Borda to Dodgson 159
19. PART III. SOCIAL CHOICE FUNCTIONS
20. CHAPTER 14. Conditions for Social Choice 177
21. CHAPTER 15. Choice Functions and Passive Intraprofile Conditions 190
22. CHAPTER 16. Arrow’s Impossibility Theorem 203
23. CHAPTER 17. Summation Social Choice Functions 217
24. CHAPTER 18. Lotteries on Social Alternatives 234
25. REFERENCES 255
26. INDEX 261