Jr. Robinson, Daniel H. Ullman

A Mathematical Look at Politics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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 pres

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 477
• Erscheinungstermin: 9. Dezember 2010
• Englisch
• ISBN-13: 9781439891179
• Artikelnr.: 57150992

Autorenporträt

E. Arthur Robinson Jr., Daniel H. Ullman

Inhaltsangabe

Preface, for the Student. Preface, for the Instructor
Voting Two Candidates. Social Choice Functions. Criteria for Social Choice.
Which Methods are Good? Arrow's Theorem. Variations on the Theme. Notes on
Part I
Apportionment
Hamilton's Method. Divisor Methods. Criteria and Impossibility. The Method
of Balinski and Young. Deciding Among Divisor Methods. History of
Apportionment in the United States. Notes on Part II.
Conflict
Strategies and Outcomes. Chance and Expectation. Solving Zero-Sum Games.
Conflict and Cooperation. Nash Equilibria. The Prisoner's Dilemma. Notes on
Part III
The Electoral College Weighted Voting. Whose Advantage? Notes on Part IV.
Solutions to Odd-Numbered Exercises and Problems. Bibliography. Index