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Math 217 - Voting Theory - Fall 2007

Be sure to check back often, because this will be modified and updated during the semester.
Last modified: November 20, 2007 2:55 PM

The items in dark red are the reading assignments (RA) for each day. The primary readings for the course are
Enlargement of the EU and Weighted Voting in its Council of Ministers by Felsenthal & Machover. LSE eprint 00000407 available at http://www.lse.ac.uk/collections/VPP/Publications.htm

Fair Representation by Balinski & Young

Chaotic Elections
by Saari

Monday
Wednesday


8/29 Welcome to Voting Theory
9/3 Labor Day 9/5 Penrose measure and Banzhaf index
RA: Felsenthal & Machover, Chap 1
9/10 Treaty of Nice and proposed EU Constitution
RA: Reread Felsenthal & Machover, Chap 1
9/12 Two-tiered systems and Equitability
RA: Felsenthal & Machover, Chap 2
Homework Due
9/17 Majoritarianism
RA: Reread Felsenthal & Machover, Chap 2
9/19 Power in the Electoral College
Group Homework Due
9/24 Introduction to methods of apportionment
RA: Balinski & Young, Chaps 1-4
9/26 The Alabama & population paradoxes
Bias toward large or small states
RA: Balinski & Young, Chaps 5-6
Homework Due
10/1 Dean's method and Hill's method
RA: Balinski & Young, Chaps 8-10
10/3 Evaluating the apportionment methods
RA: Reread Balinski & Young, Chaps 8-10
10/8 Fall Break 10/10 Apportionment and proportional representation
RA: Balinski & Young, Chaps 11-12
10/15 Guest lecture by Prof. Allen
RA: Handout
10/17 Proportional representation in South Africa
RA: Handout
Exam 1 Due
10/22 Elections with three candidates
RA: Saari, Sects 1.2, 2.1 & 2.2 (pp 17-45)
10/24 The representation triangle, procedure line, and AV hull
RA: Saari, Preface, Sects 2.2-2.4 (pp 40-60)
Topic for Project Due
10/29 The approval voting controversy
RA: Handouts
10/31 A fundamental decomposition of R6
RA: Saari, Sects 5.3 (pp 129-135)
Homework Due
Rough outline of paper due
11/5 Creating and decomposing profiles
RA: Reread Saari, Sects 5.3 (pp 129-135)
11/7 More on creating and decomposing profiles
11/12 Extending to four candidate elections
RA: Saari, Sect 2.5 & Chapter 3 (pp 60-89)
11/14 Dropping candidates and runoff elections
RA: Reread Saari, Sect 2.5 & Chapter 3 (pp 60-89)
Exam 2 Due
11/19 Inconsistency Theorems
Rough draft of paper due
11/21 Thanksgiving Break
11/26 Overview of Multicandidate Elections 11/28 No class meeting
Meetings with groups to discuss presentations
Paper due
12/3 Student Presentations 12/5 Student Presentations

Final Exam Due Tuesday, December 11, 12:00 pm


Chaotic Elections

Fair Representation

  Maintained by Tommy Ratliff ratliff_thomas@wheatoncollege.edu
Last Modified May 7, 2009 10:14 PM