ELEMENTARY GAME AND VOTING THEORY


MGF 1107, Section 62, Spring 2000

Goals:
  1. To introduce games and models of voting and power
  2. To develop conceptual and quantitative skills for theorem proving and model analysis
  3. To improve mathematical reading ability
  4. To improve mathematical writing ability
  5. To develop understanding of the role that models play in the social and behavioral sciences
Without requiring college-level mathematics, this course will involve the core activities of both pure and applied
mathematics (in essence, theorem proving and analysis of models) in a non-trivial way.
 
Instructor:Dr M-G
Office:202B Love (in which I hold office hours)
Phone:(850 64)4 2580
Email:mmestert@mailer.fsu.edu

Class meets:

in 303 BRY, Tuesdays and Thursdays 3:35-4:50
Text:Taylor, Mathematics and Politics, (Springer, 1994), of which FSU owns 10 copies. So, if some of you are willing to share, then it may not be necessary for any of you to purchase a copy. (But you must not write in the book, or you will be required to replace it with a brand new copy.)
Credit:3 semester hours
Format:The course will emphasize critical discussion of assigned readings, problem solving as a group activity and presentation of results. Each period, one or two sections of text and related exercises will be assigned for the following period. It will always be assumed in class that you have both read this material and at least attempted (not necessarily completed) the exercises.
Prerequisites:
(i)Two years of high school algebra and
(ii)self-motivation and industriousness. Dr M-G's philosophy of learning is perhaps best expressed by the following diagram:
 
ALTERNATIVE THEORIES OF LEARNING VERSUS PAIN
For further details, please click here.
Grades:Will be based on four written assignments (20% each) and performance in class (20%), which includes attendance, preparedness and participation. There will be no final. For written assignments, 20% of the credit will be awarded purely for presentation. In borderline cases, a smaller number of completely correct solutions will carry more weight than a proportionate number of fragmentary answers. Partial credit is awarded only when part of a solution is completely correct (not when all of a solution is partially correct, whatever that means, if anything). Assignments will be due at the beginning of class on the designated day. Late assignments will be viewed as badly presented, and very late assignments will not be graded (i.e., will achieve a grade of zero).
Etiquette:You are firmly bound by Florida State University's Academic Honor Code (briefly, you have the responsibility to uphold the highest standards of academic integrity in your own work, to refuse to tolerate violations of academic integrity in the University community, and to foster a high sense of integrity and social responsibility on the part of the University community). Although you may discuss assignments with others in general terms, the solutions you present must be your very own work ("in general terms" means that discussion is oral and nothing is copied down).
Helpline:If you get stuck between classes then consider using my Homework Helpline, for which you will probably need the special HTML codes for mathematical symbols. If you do use my Helpline, please check first that your question hasn't already been asked (and possibly answered). Submit it on the appropriate form. Make sure you type MGF 1107 into the course field. Check back later for an answer. And give me plenty of time—I have a life, too, you know!
Disabilities:If you have a disability requiring academic accommodations, then not only should you register with the Student Disability Resource Center (SDRC), but also you should bring me written confirmation from SDRC during the first week of class.

Miscellaneous Notes

Number of game-tree nodes for the ideal dollar auction
Game tree for the ideal dollar auction with bankroll b = 3 and stakes s = 3
Exercise 1.3(a): Game tree analysis for the Aii-Bi-Ci dollar auction with bankroll b = 3 and stakes s = 3
Game tree for the ideal dollar auction with bankroll b = 4 and stakes s = 3
Exercise 1.3(b): Game tree analysis for the Aii-Bi-Ci dollar auction with bankroll b = 4 and stakes s = 3
An example of a summary
Another example of a summary

Assignments

Assignment 1 (due at the revised deadline of 3:35 p.m. on Tuesday, February 1, 2000)Solutions: 1 2(a) 2(b) 3(a) 3(b) 4 5
Assignment 2 (due at the revised deadline of 3:35 p.m. on Tuesday, February 29, 2000)Solutions: Page 1 Page 2 Page 3
Assignment 3 (due at 3:35 p.m. on Thursday, March 30, 2000)Solutions:
Assignment 4 (due at 3:35 p.m. on Tuesday, April 18, 2000)Solutions:

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