The mathematics of voting and elections: a hands-on approach
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2005
|
| Series: | Mathematical world
22 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XIV, 226 S. |
| ISBN: | 0821837982 9780821837986 |
Staff View
MARC
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| 245 | 1 | 0 | |a The mathematics of voting and elections |b a hands-on approach |c Jonathan K. Hodge ; Richard E. Klima |
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| 650 | 4 | |a Sozialwissenschaften | |
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| 650 | 4 | |a Elections |x Mathematical models | |
| 650 | 4 | |a Social choice | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface ix
Acknowledgments xiii
1 What s So Good about Majority Rule? 1
The Mayor of Stickeyville 1
Anonymity, Neutrality, and Monotonicity 3
Majority Rule and May s Theorem 5
Quota Systems 6
Back to May s Theorem 10
Questions for Further Study 11
Answers to Starred Questions 13
2 Perot, Nader, and Other Inconveniences 17
The Plurality Method 18
The Borda Count 20
Preference Orders 22
Back to Borda 24
May s Theorem Revisited 26
Questions for Further Study 28
Answers to Starred Questions 33
3 Back into the Ring 37
Condorcet Winners and Losers 39
Sequential Pairwise Voting 43
v
vi CONTENTS
Instant Runoff 48
Putting It All Together 51
Questions for Further Study 52
Answers to Starred Questions 55
4 Trouble in Democracy 59
Independence of Irrelevant Alternatives 60
Arrow s Theorem 65
What is a Voting System? 66
Arrow s Conditions 68
The Punchline 70
Pareto s Unanimity Condition 71
Questions for Further Study 73
Answers to Starred Questions 76
5 Explaining the Impossible 79
Proving Arrow s Theorem 80
Potential Solutions 89
Weakening the Pareto Condition 89
Approval Voting 90
Intensity of Binary Independence 94
Concluding Remarks 96
Questions for Further Study 97
Answers to Starred Questions 99
6 One Person, One Vote? 103
Weighted Voting Systems 105
Dictators, Dummies, and Veto Power 108
Swap Robustness 109
Trade Robustness 113
Questions for Further Study 116
Answers to Starred Questions 118
7 Calculating Corruption 121
CONTENTS vii
The Banzhaf Power Index 123
The Shapley-Shubik Index 126
Banzhaf Power in Psykozia 130
A Splash of Combinatorics 132
Shapley-Shubik Power in Psykozia 135
Questions for Further Study 137
Answers to Starred Questions 140
8 The Ultimate College Experience 147
The Electoral College 149
The Winner-Take-All Rule 150
Some History 152
Power in the Electoral College 154
Swing Votes and Perverse Outcomes 157
Alternatives to the Electoral College 162
Questions for Further Study 163
Answers to Starred Questions 166
9 Trouble in Direct Democracy 169
Even More Trouble 171
The Separability Problem 173
Binary Preference Matrices 176
Testing for Separability 177
Tool #1: Symmetry 177
Tool #2: Unions and Intersections 178
Some Potential Solutions 180
Solution #1: Avoid Nonseparable Preferences 181
Solution #2: Set-wise Voting 182
Solution #3: Sequential Voting 183
Solution #4: Contingent Ballots 186
Solution #5: To Be Determined 186
Questions for Further Study 186
Answers to Starred Questions 189
viii CONTENTS
10 Proportional (Mis) representation 191
The U.S. House of Representatives 192
Hamilton s Apportionment Method 194
Jefferson s Apportionment Method 197
Webster s Apportionment Method 202
Three Apportionment Paradoxes 204
Hill s Apportionment Method 207
Another Impossibility Theorem 209
Concluding Remarks 210
Questions for Further Study 211
Answers to Starred Questions 214
Bibliography 217
Index 221
|
| any_adam_object | 1 |
| author | Hodge, Jonathan K. 1980- Klima, Richard E. 1970- |
| author_GND | (DE-588)135712386 (DE-588)135945402 |
| author_facet | Hodge, Jonathan K. 1980- Klima, Richard E. 1970- |
| author_role | aut aut |
| author_sort | Hodge, Jonathan K. 1980- |
| author_variant | j k h jk jkh r e k re rek |
| building | Verbundindex |
| bvnumber | BV025402681 |
| classification_rvk | MF 4600 SK 130 SK 990 |
| ctrlnum | (OCoLC)57531425 (DE-599)BVBBV025402681 |
| dewey-full | 324.90015195 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 324 - The political process |
| dewey-raw | 324.90015195 |
| dewey-search | 324.90015195 |
| dewey-sort | 3324.90015195 |
| dewey-tens | 320 - Political science (Politics and government) |
| discipline | Politologie Mathematik |
| format | Book |
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| isbn | 0821837982 9780821837986 |
| language | English |
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| physical | XIV, 226 S. |
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| spelling | Hodge, Jonathan K. 1980- Verfasser (DE-588)135712386 aut The mathematics of voting and elections a hands-on approach Jonathan K. Hodge ; Richard E. Klima Providence, RI American Mathematical Society 2005 XIV, 226 S. txt rdacontent n rdamedia nc rdacarrier Mathematical world 22 Includes bibliographical references and index Mathematisches Modell Sozialwissenschaften Voting Mathematical models Elections Mathematical models Social choice Game theory Social sciences Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Wahl (DE-588)4064286-0 gnd rswk-swf Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf Wahlverhalten (DE-588)4079009-5 gnd rswk-swf Wahl (DE-588)4064286-0 s Angewandte Mathematik (DE-588)4142443-8 s DE-604 Wahlverhalten (DE-588)4079009-5 s Mathematisches Modell (DE-588)4114528-8 s Klima, Richard E. 1970- Verfasser (DE-588)135945402 aut Mathematical world 22 (DE-604)BV004574320 22 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020024828&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hodge, Jonathan K. 1980- Klima, Richard E. 1970- The mathematics of voting and elections a hands-on approach Mathematical world Mathematisches Modell Sozialwissenschaften Voting Mathematical models Elections Mathematical models Social choice Game theory Social sciences Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Wahl (DE-588)4064286-0 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Wahlverhalten (DE-588)4079009-5 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4064286-0 (DE-588)4142443-8 (DE-588)4079009-5 |
| title | The mathematics of voting and elections a hands-on approach |
| title_auth | The mathematics of voting and elections a hands-on approach |
| title_exact_search | The mathematics of voting and elections a hands-on approach |
| title_full | The mathematics of voting and elections a hands-on approach Jonathan K. Hodge ; Richard E. Klima |
| title_fullStr | The mathematics of voting and elections a hands-on approach Jonathan K. Hodge ; Richard E. Klima |
| title_full_unstemmed | The mathematics of voting and elections a hands-on approach Jonathan K. Hodge ; Richard E. Klima |
| title_short | The mathematics of voting and elections |
| title_sort | the mathematics of voting and elections a hands on approach |
| title_sub | a hands-on approach |
| topic | Mathematisches Modell Sozialwissenschaften Voting Mathematical models Elections Mathematical models Social choice Game theory Social sciences Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Wahl (DE-588)4064286-0 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Wahlverhalten (DE-588)4079009-5 gnd |
| topic_facet | Mathematisches Modell Sozialwissenschaften Voting Mathematical models Elections Mathematical models Social choice Game theory Social sciences Mathematical models Wahl Angewandte Mathematik Wahlverhalten |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020024828&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004574320 |
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