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by
c
1
=
2
,
c
2
=
2
.
5
,
c
3
=
3
,
c
4
=
2
.
3
,
c
5
=
1
.
5
,
c
6
=
1
.
8
,
c
7
=
2
.
5
,
c
8
=
2
.
With
these parameters, we obtain the values
r
i
,
a
i
,
b
i
and
α
i
summarized in the following
table:
r
i
a
i
b
i
α
i
10.55 11
−
0.45 11
8.44
8
0.44
8
7.04
7
0.04
7
9.18
9
0.18
9
14.07 14
0.07 14
11.73 12
−
0.27 12
8.44
8
0.44
8
10.55 11
−
0.45 11
To tal 80.00 80
d
=
0 80
, an optimal
strategy for player II is the uniformly concentrated distribution in
B
0
,where
B
0
is a
set with 14 elements in column 5, 12 elements in column 6, 9 elements in column
4, 11 elements in columns 1 and 8, 8 elements in columns 2 and7and7elements
in column 3, as for example
An optimal strategy for player I is the uniform distribution o
n
F
B
0
=
{
(
1
,
1
)
,
(
1
,
2
)
,...,
(
1
,
11
)
,
(
2
,
1
)
,
(
2
,
2
)
,...,
(
2
,
8
)
,
(
3
,
1
)
,
(
3
,
2
)
,...,
(
3
,
7
)
,
(
4
,
1
)
,
(
4
,
2
)
,...
(
4
,
9
)
,
(
5
,
1
)
,
(
5
,
2
)
,...,
(
5
,
14
)
,
(
6
,
1
)
,
(
6
,
2
)
,...,
(
6
,
12
)
,
(
7
,
1
)
,
(
7
,
2
)
,...,
(
7
,
8
)
,
(
8
,
1
)
,
(
8
,
2
)
,...,
(
8
,
11
)
}
and the value of the game
1690
.
5
=
.
v
100
Example 6.
Let us consider the same situation with the following data:
s
=
20; a fine
that must be paid for every positive result in cowshed C
i
given by:
c
1
=
10
,
c
2
=
10
,
c
3
=
15
,
c
4
=
15
,
c
5
=
15
,
c
6
=
15
,
c
7
=
20
,
c
8
=
30
.
With these parameters, we
obtain the values
r
i
,
a
i
,
b
i
and
α
i
summarized in the following table:
r
i
a
i
b
i
α
i
3.63
4
−
0.36
4
3.63
4
−
0.36
4
2.42
2
0.42
3
2.42
2
0.42
2
2.42
2
0.42
2
2.42
2
0.42
2
−
1.82
2
0.18
2
1.21
1
0.21
1
To tal 20.00 19
d
=
1 20
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