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Green Communications and Networking
book

Green Communications and Networking

by F. Richard Yu, Xi Zhang, Victor C.M. Leung
April 2016
Intermediate to advanced content levelIntermediate to advanced
399 pages
11h 49m
English
CRC Press
Content preview from Green Communications and Networking
352 Green Wireless Cellular Networks in the Smart Grid Environment
are given, the best response function B
n
(p
n
) of retailer n can be defined as
follows:
B
n
(p
n
) = arg max
p
n
U
n
(p
n
, p
n
). (12.30)
Therefore, substituting (12.20) into (12.23), the best response function
B
n
(p
n
) of retailer n is as follows:
B
n
(p
n
)=
α
n
2(2α
n
X 1)
j=n
p
j
α
j
+ Y
n
, (12.31)
where
Y
n
=
α
n
2(2α
n
X 1)
j=n
β
j
α
j
+
c
n
β
n
2
+
α
n
2α
n
X 1
U|Ψ
| + V |Ψ
|
2
+ W |Ψ
|
3
. (12.32)
In the following, we will show that an arbitrary retailer n’s best response
function B
n
(p
n
)isastandard function.
Definition 12.5.2. A function B
n
(p
n
) is standard if for all p
n
0,the
following properties are satisfied
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Publisher Resources

ISBN: 9781439899144