
MA 440-001
Game Theory
Mathematics

Homework
Assigned Aug. 24
Click here. Turn in Friday, Aug. 31.
Assigned Aug. 31
Click here. Turn in Friday, Sept. 7.
Assigned Sept. 7
Click here. Turn in Friday, Sept. 14.
Assigned Sept. 12
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. 14
Problems 3.3, 3.4a, 3.5a. Each can be done by examining all strategy profiles.
Turn in Friday, Sept. 21.
Assigned Sept. 17
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.
Problem 3.7: Show that there are no Nash equilibria in which q_1 + q_2 + q_3 < 975,00, exactly one q_i equals 600,000, and the other q_i's are strictly between 0 and 600,000.
Turn in 2.15c and 3.7 on Friday, Sept. 21.
Assigned Sept. 28, corrected Oct. 3
Click here. Turn in Wednesday, Oct. 10.
Assigned Oct. 5
I am adding one problem to the previous assignment. Click here.
Turn in Wednesday, Oct. 10.
Assigned Oct. 10
Click here. Turn in Friday, October 19.
Assigned Oct. 17
Problems in Gintis you may enjoy: 4.36, 4.41, 5.4, 5.5, 5.9. Don't turn in.
For a problem to turn in, click here. Turn in Friday, October 26.
Assigned Oct. 26
Click here. Turn in Friday, November 2.
Assigned Oct. 29
Click here. Turn in Friday, November 2.
Assigned Nov. 6
Problems 7.5 and 7.12d in Gintis. Turn in Friday, November 9.
Assigned Nov. 28
Click here (please ignore the old course number and date), problem 1. Turn in Monday, December 3.
Assigned Dec. 1
Click here (please ignore the old course number and date), problem 2. Do not turn in.
Assigned Dec. 3
Click here. Do not turn in.
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Last modified Mon Dec 3 2007
Send questions or comments to schecter@math.ncsu.edu