| Preface to the First Edition | 11 |
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| Footnotes to Preface | 13 |
| List of Tables | 16 |
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| List of Figures | 17 |
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| Chapter 1 Introduction: Overview of the Problem and Its Solution | 18 |
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| 1.1. The Multicandidate Problem | 18 |
| 1.2. A Solution: Approval Voting | 20 |
| 1.3. What's Wrong with Approval Voting? | 27 |
| 1.4. An Illustration of the Effects of Different Rules: The 1980 New Hampshire Primaries under Approval Voting | 28 |
| 1.5. Prospects for Adoption | 29 |
| Footnotes to Chapter 1 | 30 |
| Chapter 2 Sincerity and Strategy- Proofness: Which System Is Most Honest? | 32 |
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| 2.1. Introduction | 32 |
| 2.2. Voter Preferences and Dominance | 33 |
| 2.3. Dominance between Strategies | 36 |
| 2.4. Admissible Strategies | 39 |
| 2.5. Sincere Voting and Strategy- Proofness | 45 |
| 2.6. Conclusions | 49 |
| Footnotes to Chapter 2 | 50 |
| Chapter 3 The Condorcet Criterion: Which System Best Finds the Majority Candidate? | 52 |
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| 3.1. Introduction | 52 |
| 3.2. Dichotomous Preferences | 54 |
| 3.3. Runoff Systems | 57 |
| 3.4. Dominance, Admissibility, Sincerity, and Strategy- Proofness of Runoff Systems | 59 |
| 3.5. Condorcet Possibility Theorems | 64 |
| 3.6. Condorcet Election Guarantees | 69 |
| 3.7. Conclusions | 71 |
| Footnotes to Chapter 3 | 73 |
| Chapter 4 The Reconstruction of an Election under Alternative Rules | 76 |
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| 4.1. Introduction | 76 |
| 4.2. Background on the 1976 House Majority Leader Election | 77 |
| 4.3. Best/ Worst Analysis: A Preliminary Appraisal | 78 |
| 4.4. Single- Peaked Preferences | 80 |
| 4.5. Different Voting Systems | 83 |
| 4.6. Conclusions | 86 |
| Footnotes to Chapter 4 | 88 |
| Chapter 5 Power and Equity: Which System Is Fairest? | 90 |
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| 5.1. Introduction | 90 |
| 5.2. Efficacy | 91 |
| 5.3. Situation- Specific Effects and Power | 95 |
| 5.4. Power and Equity for Dichotomous Voters | 98 |
| 5.5. Optimal Voting Strategies | 101 |
| 5.6. An Asymmetric Example | 105 |
| 5.7. Conclusions | 107 |
| Footnotes to Chapter 5 | 107 |
| Chapter 6 Deducing Condorcet Candidates from Election Data | 110 |
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| 6.1. Introduction | 110 |
| 6.2. Deductions from Election Totals | 111 |
| 6.3. Results for Three and Four Candidates | 112 |
| 6.4. Modified Assumptions and Disaggregated Data | 115 |
| 6.5. Analysis of Approval Voting Ballot Data^ | 116 |
| 6.6. An Empirical Example and Probabilistic Analysis | 120 |
| 6.7. Conclusions | 123 |
| Footnotes to Chapter 6 | 124 |
| Chapter 7 Polls and the Problem of Strategic Information in Elections | 125 |
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| 7.1. Introduction | 125 |
| 7.2. Concerns about Public Opinion Polling | 126 |
| 7.3. Plurality Voting | 128 |
| 7.4. Approval Voting | 131 |
| 7.5. Runoff Systems and an Empirical Example | 137 |
| 7.6. Conclusions | 139 |
| Footnotes to Chapter 7 | 140 |
| Chapter 8 Recent Empirical Examples and Theoretical Extensions | 142 |
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| 8.1. Introduction | 142 |
| 8.2. The 1980 New York Senate Race: A Reprise of 1970? | 142 |
| 8.3. Approval Voting and Presidential Elections | 144 |
| 8.4. The Sensitivity of Voting Systems to Numbers of Candidates | 150 |
| 8.5, Approval Voting and Game Theory | 153 |
| 8.6. The Monotonicity Paradox | 156 |
| 8.7. Conclusions | 160 |
| Footnotes to Chapter 8 | 161 |
| Chapter 9 Deducing Preferences and Choices in the 1980 Presidential Election | 165 |
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| 9.1. Introduction | 165 |
| 9.2. Preferences and Voter Behavior | 167 |
| 9.3. Analysis of Anderson Supporters ( but Not Voters) | 171 |
| 9.4. Inferences from Voter Percentages | 177 |
| 9.5. Conclusions | 181 |
| Footnotes to Chapter 9 | 182 |
| Chapter 10 Epilogue | 184 |
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| Glossary | 187 |
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| Bibliography | 191 |
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| Index | 201 |