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

E. Arthur Robinson Jr., Daniel H. Ullman

Preface, for the Student. Preface, for the InstructorVoting 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