Math 486 Game Theory. Miderm 3. April 22, 2010.
Name______________________________________
Find the equilibria in pure strategies, the pure Pareto optimal payoffs,
the characteristic function, the Shapley values, and the Nash bargaining solution.
1 (30 pts). Players: the row player Ann; the column player Bob.
|
0, 1 |
1, 0 |
0, 0 |
1, 1 |
|
1, 1 |
1, 3 |
2, 4 |
2, 2 |
|
0, 3 |
0, 0 |
1, 3 |
3, 2 |
|
1, 0 |
0, 0 |
0, 0 |
1, 4 |
2 (45 pts). Players: A, B, C
strategies payoffs
1 1 1 3 3 2
1 1 2 1 0 1
1 2 1 2 3 3
1 2 2 1 2 3
2 1 1 0 0 1
2 1 2 1 1 1
2 2 1 2 3 3
2 2 2 2 3 2
3 1 1 0 0 0
3 1 2 0 0 0
3 2 1 1 1 1
3 2 2 2 3 0