Description: Normal 0 false false false Part 1. The Mathematics of Social Choice 1. The Mathematics of Voting: The Paradox of Democracy 1.1 Preference Ballots and Preference Schedules 1.2 The Plurality Method 1.3 The Borda Count Method 1.4 The Plurality-with-Elimination Method (Instant Runoff Voting) 1.5 The Method of Piecewise Comparisons 1.6 Rankings Profile: Kenneth J. Arrow Key Concepts Exercises Projects and Papers References and Further Readings 2. The Mathematics of Power: Weighted Voting 2.1 An Introduction to Weighted Voting 2.2 The Banzhaf Power Index 2.3 Applications of the Banzhaf Power Index 2.4 The Shapely-Shubik Power Index 2.5 Applications of the Shapely-Shubik Power Index Profile: Lloyd S. Shapely Key Concepts Exercises Projects and Papers References and Further Readings 3. The Mathematics of Sharing: Fair-Division Games 3.1 Fair-Division Games 3.2 Two Players: The Divider-Chooser Method 3.3 The Lone-Divider Method 3.4 The Lone-Chooser Method 3.5 The Last-Diminisher Method 3.6 The Method of Sealed Bids 3.7 The Method of Markers Profile: Hugo Steinhaus Key Concepts Exercises Projects and Papers References and Further Readings 4. The Mathematics of Apportionment: Making the Rounds 4.1 Apportionment Problems 4.2 Hamilton's Method and the Quota Rule 4.3 The Alabama and Other Paradoxes 4.4 Jefferson's Method 4.5 Adams's Method 4.6 Webster's Method His

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