C: ANSWERS TO SELECTED PROBLEMS
Chapter 10.1, Game Trees, Pure Strategies, and Matrix
Games
1. I: {Bluff, Not
Bluff}; II: {Call, Not Call}, 
.
3. Let M = in the
mall and N = near the mall. Both
banks: {M, N}, 
5. Strategies (AA,
A) and (AN, A) correspond to the bath AA.
Strategies
(NN, N) and (NA, N) correspond to the path ANA.
Strategy
(AA, N) corresponds to the path ANA.
Strategy
(AN, N) corresponds to the path ANN.
Strategy
(NA, A) corresponds to the path NAA.
Strategy
(NN, A) corresponds to the path NAN.
7. [b] both players:
{1, 2}, [c] 
9. [b]
both players: {S, D}, [c] 
11. [b] both
stations: {Switch, Not switch},
[c] 
Chapter 10.2, Solving Pure-Strategy Matrix Games
1. 
3. 
5. 
7. 
9. 
11. 
13. 
15. Roy should
campaign 2 days in northern district and Cal 2 in southern, Roy will get 55%.
17. Station II, no
change; station I, lower; 1% goes to station I.
19. (S, D) and (D, S)
are the equilibrium pairs.
Chapter 10.3, Solving Mixed-Strategy Games
1. Evil Scientist
should go to Paris 
of the time and
to Athens 
of the time.
James
Bond should go to Paris 
of the time and
to Athens 
of the time.
The
value of the game is 
.
3. The investor
should put $5,000 into stocks and $25,000 into bonds.
5. 
7. 
9. 
11. 
13. 
15. 
17. 
19. Both players show
one finger 
of the time; v = 0.
21. The plant should
dump 90% of the time in the country and 10% of the time in the stream.
The
inspector should go to the country 90% of the time and to the stream 10% of the
time;
v = -$70.
23. The store should
use 75% mail and 25% door to door.
The
citizens should use 50% mail and 50% door to door.
No,
they will only collect 250 signatures.
25. Not drink;
expected time of survival is 10 hours.
27. Challenger:
prepare for I 
, II 
; Champion: serve I 
, II 
.
29. $500.
Chapter
10.4, Chapter Review
1. Both playersŐ
strategies are {N,E}, the payoff matrix is 
.
3. X = purchase 100
g, Y = purchase 200 g, B = busy week, and S = slow week.
.
5. 
7. 
9. 
11. 
13. Build on the
north side.
15. Buy 100 gallons
85% of the time. 17. 0.3 paintings,
0.7 books.
19. I: Park; II: Main
Street; 0; Yes. 21. $3333.33.