Graduate Business Administration 509

MANAGERIAL DECISION MAKING

Fall 2003
 
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Answers to Recommended Problems

Chapter 11

6.  The Nash equilibria for each firm are indicated by the corresponding colors.

 

Firm B

Firm A

  Low Medium High
Low 8, 11 6, 12 5, 14
Medium 12, 9 8, 10 6, 8
High 11, 6 10, 8 4, 6

a.  Firm A will engage in high R & D, Firm B will engage in medium R & D for profits of 10 and 8 respectively

b.  If they could communicate, a better result would be for Firm A to engage in medium R & D and Firm B to engage in low R & D, for profits of 12 and 9 respectively.


8. The Nash equilibria for each firm are indicated by the corresponding colors.

 

Player C

Player R   C1 C2 C3
R1 13 12 10
R2 14 6 8
R3 3 16 7

a.  There are no dominant or dominated strategies for either player.

b.  The equilibrium strategies are R1 and C3, with a payoff of 10.


14.  The Nash equilibria for each firm are indicated by the corresponding colors.

 

U.S. Air

Delta

  $139 $119 $99
$139 34, 38 15, 42 6, 32
$119 42, 20 22, 22 10, 25
$99 35, 7 27, 9 18, 16

a.  Delta and U.S. Air will each charge $99, for profits of 18 and 16 respectively.  (Note:  A fare of $139 is a dominated strategy for each company, and can be eliminated.  Once that is done, $99 is the dominant strategy for each firm for what remains.)

b.  With repeated play, the airlines have an incentive to cooperate to charge $139 each, which will lead to the maximum combined profit for the two companies.  As the 18-month mark approaches, the cooperation will likely break down.


Chapter 13

4.

  = Decision   = Chance

 

.

Success
------------------------------ 100
0.6

.

Redesign
-----------------------------

80

No restrictions
-------------------------------- 100
0.5

. .

Failure
-----------------------------------
0.4

50

80

Restrictions
-------------------------------  0
0.5

. .

No restrictions
------------------------------ 125
0.5

.

Do not redesign
--||-------------------------

75
.

Restrictions
------------------------------- 25
0.5

The most profitable decision is to redesign the aircraft.


8.  In this case, Firm A wants the smallest result possible.   

  = Decision   = Chance

 

. Accept
-------------------------------- 450
. $400 K offer
--------------------------------
0.5
450
. . Reject
--||---------------------------- 650
.

Attempt to settle
-----------------------------

550

. . . Accept
--||---------------------------- 950
. . $900 K offer
-------------------------------- 
0.5
650
550 . Reject
-------------------------------- 650
.
. .

Court Outcome 1
-------------------------------- 1100
0.2

. .
.

Go to Court
--||-------------------------

600

Court Outcome 2
-------------------------------- 700
0.5

.
.

Court Outcome 3
-------------------------------- 100
0.3

The appropriate decision is to attempt to settle the case.