Wentworth
Institute of Technology
A mathematical look at politics /
What Ralph Nader's spoiler role in the 2000 presidential election tells us about the American political system. Why Montana went to court to switch the 1990 apportionment to Dean’s method. How the US tried to use game theory to win the Cold War, and why it didn’t work. When students realize tha...
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| Main Authors: | , |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boca Raton, FL :
CRC Press, an imprint of Taylor and Francis,
2010.
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| Edition: | First edition. |
| Subjects: | |
| Online Access: |
Full text (WIT users only) |
MARC
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| 100 | 1 | |a Robinson, Jr., E. Arthur, |e author. | |
| 245 | 1 | 2 | |a A mathematical look at politics / |c by E. Arthur Robinson, Jr. and Daniel H. Ullman. |
| 250 | |a First edition. | ||
| 264 | 1 | |a Boca Raton, FL : |b CRC Press, an imprint of Taylor and Francis, |c 2010. | |
| 300 | |a 1 online resource (477 pages) : |b 59 illustrations | ||
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| 505 | 0 | |a part 1 Part I: Voting -- chapter Introduction to Part I -- chapter 1 Two Candidates -- chapter 2 Social Choice Functions -- chapter 3 Criteria for Social Choice -- chapter 4 Which Methods Are Good? -- chapter 5 Arrow’s Theorem -- chapter 6 Variations on the Theme -- chapter Notes on Part I -- part 2 Part II: Apportionment -- chapter Introduction to Part II -- chapter 7 Hamilton’s Method -- chapter 8 Divisor Methods -- chapter 9 Criteria and Impossibility -- chapter 10 The Method of Balinski and Young -- chapter 11 Deciding among Divisor Methods -- chapter 12 History of Apportionment in the United States -- chapter Notes on Part II -- part 3 Part III: Conflict -- chapter Introduction to Part III -- chapter 13 Strategies and Outcomes -- chapter 14 Chance and Expectation -- chapter 15 Solving Zero-Sum Games -- chapter 16 Conflict and Cooperation -- chapter 17 Nash Equilibria -- chapter 18 The Prisoner’s Dilemma -- chapter Notes on Part III -- part 4 Part IV: The Electoral College -- chapter Introduction to Part IV -- chapter 19 Weighted Voting -- chapter 20 Whose Advantage? -- chapter Notes on Part IV -- chapter Solutions to Odd-Numbered Exercises and Problems. | |
| 520 | 3 | |a What Ralph Nader's spoiler role in the 2000 presidential election tells us about the American political system. Why Montana went to court to switch the 1990 apportionment to Dean’s method. How the US tried to use game theory to win the Cold War, and why it didn’t work. When students realize that mathematical thinking can address these sorts of pressing concerns of the political world it naturally sparks their interest in the underlying mathematics. | |
| 650 | 0 | |a Mathematisches Modell. | |
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