MTH 217, Mathematical Modelling in Political Science
Note: If this course is being taught this semester, more information can be found at the course home page.
Some mathematical sophistication required. MTH 141 or MTH 161 or MTH 171 suggested.
This course is a prerequisite or co-requisite for
Conflict with ordinal Game Theory, including elementary applications (Nash equilibria, Prisoner’s Dilemmma, Chicken and to “real-life” political situations) and Brams’ Theory of Moves,
measures of voting power (including the Banzhaf and Shaplety-Shubik indices),
social choice (including Arrow’s Theorem and Sen’s Theorem).
Depending on time available, other topics may be treated, such as the Chair’s Paradox, ordinal measures of power, Vickrey auctions.
The text is Mathematics and Politics by Alan Taylor, which covers all the material described above, except material on apportionment.