Game Theory

1.)So what is Game Theory and how do businesses uses games?  Here is some
help from

In the text, we consider a
sequential-move game in which an entrant was considering entering an industry
in competition with an incumbent firm (See Figure 15-1). Consider now that the
entrant, if fought, has the possibility of withdrawing from the industry (at a
loss of 1 for the entrant and a gain of 8 for the incumbent), or staying at a
loss of 5 for each player). What is the equilibrium of this game? Discuss if
the entrant is better off with or without the ability to withdraw.


2.) Suppose your company runs a shuttle business of a hotel to and from the
local airport. The costs for different customer loads are:
1 customer:  $30
2 customers: $32
3 customers: $35
4 customers: $38
5 customers: $42
6 customers: $48
7 customers: $57
8 customers: $68.
What are your marginal costs
for each customer load level?

Q

TC

MC

Total Rev

Profit

1

30

 

10

-20

2

32

[a]

20

-12

3

35

[b]

30

-5

4

38

[c]

40

2

5

42

[d]

50

8

6

48

[e]

60

12

7

57

[f]

70

13

8

68

[g]

80

12


3.) Time Warner could offer the History Channel (H) and Showtime (S)
individually or as a bundle of both.
Suppose the reservation
prices of customers 1 and 2 (the highest prices they are willing to pay) are
presented in the boxes below.
The cost to Time Warner is $1
per customer for licensing fees.
 
Preferences

 

Showtime

History Chanel

Customer 1

9

2

Customer 2

3

8

 

Suppose Time Warner could sell
Showtime for $9, and History channel for $8, while making Showtime-History
bundle available for $13. Should it use mixed bundling. i.e., sells products
both separately and as a bundle? 

Your answer must include the profit
with mixed bundling.

 

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