RDP 2012-03: ATM Fees, Pricing and Consumer Behaviour: An Analysis of ATM Network Reform in Australia
Equation (C11)
u
i
=
1
3
l
∫
0
3
l
{
(
x
−
d
i
)
1
{
0
≤
d
i
≤
l
+
P
i
j
2
}
+
(
x
−
(
l
−
d
i
)
−
P
i
j
)
1
{
l
+
P
i
j
2
≤
d
i
≤
l
}
+
(
x
−
(
d
i
−
l
)
−
P
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j
)
1
{
l
≤
d
i
≤
3
l
+
P
i
k
−
P
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j
2
}
+
(
x
−
(
2
l
−
d
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−
P
i
k
)
1
{
3
l
+
P
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k
−
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2
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d
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≤
2
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+
(
x
−
(
d
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−
2
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)
−
P
i
k
)
1
{
2
l
≤
d
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≤
5
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k
2
}
+
(
x
−
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3
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−
d
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)
1
{
5
l
−
P
i
k
2
≤
d
i
≤
3
l
}
}
=
x
−
l
4
−
P
i
j
3
+
P
i
j
2
6
l
−
P
i
j
P
i
k
6
l
−
P
i
k
3
+
P
i
k
2
6
l
.
MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=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@1561@