Prof. Rosenthal's Social Choice Math lectures are available on video tape in both campus libraries. The correspondence between topics and library call numbers is given in the following table.
|
Topics
|
University Park Libray Audio-Visual desk (5th floor) | Biscayne Bay Campus Libray Reserve desk (1st floor) |
| Class 1: Plurality, Plurailty with runoff, Hare system,
Borda count, Sequential pairwise voting Class 2: Condorcet's voting paradox, the Pareto condition, the Condorcet winner criterion, monotonicity, the majority criterion, independence of irrelevant alternatives, and Arrow's Impossibilty Theorem |
RESAV;58.1 | RESV 2300.00 |
| Class 3: More on the previous topics, plus approval
voting Class 4: Fundamental Principle of Counting, Permutations |
RESAV;58.2 | RESV 2300.01 |
| Class 5: Combinations Class 6: Vocabulary associated with weighted voting systems |
RESAV;58.3 | RESV 2300.02 |
| Class 7: The Banzhaf power index, the paradox of new
members Class 8: Equivalent voting systems and minimal winning coalitions |
RESAV;58.4 | RESV 2300.03 |
| Class 9: The Shapley-Shubik power index and systems
with large numbers of voters Class 10: The divide-and-choose method, the moving knife method, the lone divider method, proportionality, envy-freeness, and the Selfridge-Conway procedure |
RESAV;58.5 | RESV 2300.04 |
| Class 11: The Adjusted Winner Procedure, equitability,
Pareto-optimality Class 12: The Knaster Inheritance Procedure, more on the desirable properties of a fair division, and the Hamilton method of apportionment |
RESAV;58.6 | RESV 2300.05 |
| Class 13: Jefferson' method, Adams' method, and Webster's
method Class 14: Hill-Huntington method |
RESAV;58.7 | RESV 2300.06 |
| Class 15: Using Microsoft Excel to do apportionments
on a computer Class 16: Representative shares, district populations and bias |
RESAV;58.8 | RESV 2300.07 |
| Class 17: Probability and Expected Value Class 18: Two-person games with saddlepoints, minimax & maximin strategies |
RESAV;58.9 | RESV 2300.08 |
| Class 19: Mixed strategies and larger games with saddlepoints Class 20: Dominant strategies |
RESAV;58.10 | RESV 2300.09 |
| Class 21: Solving 2 x n and n x 2 games Class 22: Non-zero sum games, Nash equilibrium, Prisoner's Dilemma, Chicken, 4-way stop, and battle of the sexes |
RESAV;58.11 | RESV 2300.10 |
| Class 23: Sophisticated voting, the paradox of the
chair's position, tacit & revealed deceptions Class 24: Review |
RESAV;58.12 | RESV 2300.11 |