MA 493B-001
Game Theory
Mathematics
Homework
Assigned Aug. 25
Click here. Turn in Friday, Sept. 1.
Assigned Sept. 1
Click here. Turn in Friday, Sept. 8.
Assigned Sept. 8
Click here. Turn in Friday, Sept. 15.
Assigned Sept. 11
Problems 2.13, 2.14. Neither of these need to be turned in.
Answers: 2.13 (8, -8); 2.14 in text (p. 396).
Assigned Sept. 15
Problem 2.4a. Do not turn in. Answer: (63, 31).
Problem 2.15a, b. Do not turn in. Answer to a is in text (p. 397). Answer to b is nyy.
Problem 2.15c. The first legislator has two strategies, the second has four, the third has sixteen. To do the problem, assume that the third legislator uses the suggested strategy. Draw a 2 by 4 table that shows the payoffs to the first two legislators from each of their possible strategy choices, assuming the third legislator uses the suggested strategy. Find strategies for the first two legislators that make a Nash equilibrium for them, assuming the third legislator uses the suggested strategy. Once you've found strategies for the first two, argue that the third legislator cannot improve his own payoff by changing to one of his other strategies.
Problems 3.3, 3.4a, 3.5a. Each can be done by examining all strategy profiles.
Problem 3.7: Show that there are no Nash equilibria in which one q_i equals 600,000 and the others are strictly between 0 and 600,000.
Turn in 2.15c, 3.3, 3.4a, 3.5a, 3.7 on Friday, Sept. 22.
Assigned Sept. 29
Click here. (This assignment was revised on Sept. 30.) Turn in Friday, Oct. 6.
Assigned Oct. 6
Click here. Turn in Friday, October 20.
Assigned Oct. 27
Problems in Gintis you may enjoy: 4.36, 4.41, 5.4, 5.5. Don't turn in.
For problems to turn in, click here. Turn in Friday, November 3.
Assigned Nov. 3
Problems 7.5 and 7.12d in Gintis. Turn in Friday, November 10.
Assigned Nov. 29
Click here (please ignore the old date) and here. Do not turn in.
MA 493B-001 home page | Notes on game theory
Text and schedule |
Course policies
Hints and answers
Test study guides |
Grade Book | Resources
Instructor's home page
Last modified Wed Nov 29 2006
Send questions or comments to schecter@math.ncsu.edu