Chapter 12 - Social Choice: The Impossible Dream
Mon., March 26th: Plurality Voting and the Borda Count
read p. 407-417
p. 432: read 1-3, 9ab, 7ab, 6ab
Tues., 27th: Sequential Pairwise Voting and the Hare System
read p. 417-421
p. 433: 9cd, 7cd, 6cd
Wed., 28th: Condorcet Winner Criterion, Independence of Irrelevant Alternative
(IIA), Pareto Condition, Monotoncity
read p. 422-429 Look at chart on page 422.
p. 432: 5, 16, 18, 19, 21
Bonus: using the chart from #18, compute the winner for all possible agendas and then
state the probability of each alternative winning. Write on a separate sheet of paper.
Due tomorrow, Thursday the 29th.
Thurs., 29th: Miscellaneous topics from Chapter 12
read Spotlight 12.2, p. 424
p. 435: 25-27, 32, 28, 31a
Take Home Quiz: p. 433: 8, 10, 12-15, 20 Due Monday the 19th
Chapter 13 - Weighted Voting Systems
Fri., 30th: Weighted Voting
read p. 438-443
p. 468 : 1, 3, 4, 6 (look at #5 to see that you could find the requested coalitions)
Take home quiz due Monday
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Mon., April 9th: Banzhaf Power Index
read p. 443-448
p. 469: 9, 10cfg
Tues., 10th: Using Combinations for Larger Systems
read p. 448-453
p. 469: 14bcef, compute the Banzhaf Power Index for the voting system [4:3, 1, 1, 1, 1, 1]
Wed., 11th: Equivalent Voting Systems
read p. 453-459
p. 470: 15 - 18
Bonus: p. 471: 22, 26 Due Wednesday, April 18th
Thurs., 12th: Shapley-Shubik Power Index
read p. 459-465
p. 471: 24, 25
Fri., 13th: Field Day - no classes
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Mon, 16th continue S-S Power Index
p. 472: 30, 31, 37ab
Quiz Tuesday on Banzhaf and Shapely-Shubik Power Indexes
Tues., 17th: Review
Chapter 12 Skills Checks p. 430-432
Chapter 13 Skills Checks p. 467-468
Write questions for test review on sheet of paper to be handed in at start of class.
Bonus: A four member faculty committee and a three member administration committee
vote separately on each issue. The measure passes if it receives the support of a
majority of each of the committees. Compute the Shapley Shubik index for this
weighted voting system. NOTE: this is not a weighted voting system, so you will
not have a numerical value for the quota and each weight. Due Friday, 20th
Quiz: Banzhaf and Shapley-Shubik Power Indexes
Wed., 18th: Review for test
Thurs., April 19th: Test Chapters 12 & 13
Homework packet with all problems from Chapters 12 & 13 must be handed in at the start
of class.
