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Optus, and their relationship with NBN (National Broadband Network). NBN is a publicly-owned, open-access data network wholesaler. Telstra and Optus are retail service providers (RSPs)

Optus, and their relationship with NBN (National Broadband Network). NBN is a publicly-owned,

open-access data network wholesaler. Telstra and Optus are retail service providers (RSPs) who

contract with NBN to access the data network and sell xed internet access to end users. Currently

the most popular home internet plan in Australia is the NBN 50 plan, which provides a theoretical

download speed of 50 Mbps. To simplify our analysis, assume NBN 50 is the only plan oered by

Telstra and Optus, and they are the only telcos in Australia. Suppose on average NBN charges

P

N

(wholesale price) per customer access to NBN 50 per month to RSPs. Telstras monthly total cost

function is

TC

T

(

Q

T

) = (

P

N

+ 5)

Q

T

+ 12

million

;

where

Q

T

is the number of subscribers to Telstras NBN 50 plan. Similarly, Optuss monthly toal

cost function is

TC

O

(

Q

O

) = (

P

N

+ 5)

Q

O

+ 12

million

;

where

Q

O

is the number of subscribers to Optuss NBN 50 plan. On the other hand, suppose NBNs

monthly total cost function is

TC

N

(

Q

N

) = 17

Q

N

+ 85

million

;

where

Q

N

=

Q

T

+

Q

O

is the total number of NBN 50 subscribers.

Let

P

T

denote Telstras monthly subscription fee and

P

O

Optuss monthly subscription fee. Within

a reasonable price range,

Q

T

and

Q

O

are determined by the following equations:

Q

T

(

P

T

;P

O

) = 4

million

4

million

25

P

T

+

3

million

25

P

O

Q

O

(

P

T

;P

O

) = 4

million

4

million

25

P

O

+

3

million

25

P

T

(a)

(2 marks)

Write down the prot functions for Telstra and Optus.

(b)

(4 marks)

Suppose NBN sets the access fee at

P

N

= $45

:

Assume that each telco only

considers setting the monthly subscription fee at one of the following three values: $60, $65,

and $70. Construct a 3

3

payo matrix for the pricing game between Telstra and Optus and

nd the Nash equilibrium of the game. Calculate each telcos prots, number of subscribers,

and the Herndahl Index (based on the number of subscribers) in equilibrium.

(c)

(4 marks)

Suppose NBN increases

P

N

from

$45

to

$55

:

Other things remain the same

:

Redo

(b).

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