10/15/03
26
More General Analysis
(Differing Payoffs)
¥
Let AÕs payoffs be:
H
= HH,
h
= HT,
t
= TH,
T
= TT
¥
E{A} =
P
A
P
B
H
+
P
A
(1 Ð
P
B
)
h
+ (1 Ð
P
A
)
P
B
t
+ (1 Ð
P
A
)(1 Ð
P
B
)
T
Ð
= (
H
+
T
Ð
h
Ð
t
)
P
A
P
B
+ (
h
Ð
T
)
P
A
+ (
t
Ð
T
)
P
B
+
T
¥
To find saddle point set
¦
E{A}/
¦
P
A
= 0 and
¦
E{A}/
¦
P
B
= 0 to get:
