Preface |
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ix | |
Acknowledgments |
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xiii | |
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Chapter 1 What's So Good About Majority Rule? |
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1 | (14) |
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The Mayor of Stickeyville |
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1 | (2) |
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Anonymity, Neutrality, and Monotonicity |
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3 | (2) |
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Majority Rule and May's Theorem |
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5 | (1) |
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6 | (2) |
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8 | (2) |
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Questions for Further Study |
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10 | (2) |
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Answers to Starred Questions |
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12 | (3) |
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Chapter 2 Le Pen, Nader, and Other Inconveniences |
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15 | (18) |
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17 | (1) |
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18 | (2) |
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20 | (2) |
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22 | (1) |
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23 | (2) |
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Questions for Further Study |
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25 | (5) |
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Answers to Starred Questions |
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30 | (3) |
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Chapter 3 Back into the Ring |
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33 | (20) |
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Condorcet Winners and Losers |
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35 | (3) |
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Sequential Pairwise Voting |
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38 | (4) |
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42 | (3) |
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45 | (1) |
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Questions for Further Study |
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46 | (3) |
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Answers to Starred Questions |
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49 | (4) |
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Chapter 4 Trouble in Democracy |
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53 | (18) |
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Independence of Irrelevant Alternatives |
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54 | (4) |
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58 | (5) |
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Pareto's Unanimity Condition |
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63 | (2) |
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65 | (1) |
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Questions for Further Study |
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65 | (3) |
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Answers to Starred Questions |
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68 | (3) |
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Chapter 5 Explaining the Impossible |
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71 | (20) |
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72 | (7) |
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79 | (6) |
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85 | (1) |
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Questions for Further Study |
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86 | (2) |
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Answers to Starred Questions |
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88 | (3) |
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Chapter 6 Gaming the System |
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91 | (14) |
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92 | (1) |
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The Gibbard-Satterthwaite Theorem |
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93 | (2) |
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Proving the Gibbard-Satterthwaite Theorem |
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95 | (6) |
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101 | (1) |
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Questions for Further Study |
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102 | (1) |
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Answers to Starred Questions |
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103 | (2) |
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Chapter 7 One Person, One Vote? |
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105 | (16) |
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106 | (3) |
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Dictators, Dummies, and Veto Power |
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109 | (1) |
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110 | (3) |
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113 | (2) |
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Questions for Further Study |
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115 | (3) |
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Answers to Starred Questions |
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118 | (3) |
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Chapter 8 Calculating Corruption |
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121 | (22) |
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122 | (3) |
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The Shapley-Shubik Power Index |
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125 | (3) |
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Banzhaf Power in Psykozia |
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128 | (2) |
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A Splash of Combinatorics |
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130 | (3) |
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Shapley-Shubik Power in Psykozia |
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133 | (2) |
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Questions for Further Study |
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135 | (3) |
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Answers to Starred Questions |
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138 | (5) |
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Chapter 9 The Ultimate College Experience |
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143 | (20) |
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144 | (2) |
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146 | (2) |
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148 | (1) |
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Power in the Electoral College |
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149 | (4) |
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Swing Votes and Perverse Outcomes |
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153 | (4) |
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Alternatives to the Electoral College |
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157 | (1) |
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Questions for Further Study |
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158 | (4) |
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Answers to Starred Questions |
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162 | (1) |
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Chapter 10 Trouble in Direct Democracy |
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163 | (22) |
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165 | (1) |
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166 | (2) |
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Binary Preference Matrices |
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168 | (1) |
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169 | (4) |
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173 | (6) |
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Questions for Further Study |
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179 | (3) |
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Answers to Starred Questions |
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182 | (3) |
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Chapter 11 Proportional (Mis)representation |
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185 | (22) |
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The U.S. House of Representatives |
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186 | (1) |
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Hamilton's Apportionment Method |
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187 | (3) |
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Jefferson's Apportionment Method |
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190 | (5) |
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Webster's Apportionment Method |
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195 | (1) |
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Three Apportionment Paradoxes |
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196 | (2) |
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Hill's Apportionment Method |
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198 | (2) |
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Another Impossibility Theorem |
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200 | (1) |
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201 | (1) |
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Questions for Further Study |
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202 | (3) |
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Answers to Starred Questions |
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205 | (2) |
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Chapter 12 Choosing Your Voters |
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207 | (22) |
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209 | (5) |
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214 | (1) |
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215 | (3) |
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218 | (3) |
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221 | (2) |
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223 | (1) |
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Questions for Further Study |
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224 | (3) |
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Answers to Starred Questions |
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227 | (2) |
Bibliography |
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229 | (4) |
Index |
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233 | |