Math 486. September 25, 2002. Midterm 1.
5 problems, 10 pts each. Name________________________

Find an equilibrium and the corresponding payoff. In Problems 1 and 2, the bet is $1.

1. Nim. Last move wins. 2,5, or 9 stones in a move. Initial position: 1 pile, 1000 stones.

2. Blackjack. Players has 10 and 6. Dealer shows 10.  Cards left: 5, 5, 6, 7.

3. Matrix game.
3 4 3 0 3
5 7 5 5 0
5 4 4 6 3
7 5 5 6 5

4. Matrix game.
3 -1 2 0 2
3 0 2 1 4
0 3 2 1 -1

5. Matrix game.
2 1 2 0 3
2 2 0 2 2
3 2 1 1 1
4 5 1 1 1

 

Solutions.

Click here  for a bigger picture.  1  ,  2  ,  3 .