From: "Phil
Eberhardt" <pae5000@psu.edu>

Date: December 4, 2008 11:39:43 AM EST

To: vstein@math.psu.edu

Subject: Midterm 3 answers

Or at least to the best of my knowledge

1. Saddle Point so Value of game = 3

His Optimal = [0,1,0,0,0,0,0]

Her Optimal = [0,1,0,0,0,0,0]

2. Got so far to say Value of game = 2

Her optimal = [0,0,0,0,1,0,0]

Domination: c5>c3,c2>c6

3. Value of Game = 6/5

Matrix Shifts to [[-2,6],[2,0]] after dominations r3>r1,c2>c1, and
(3c2+c4)/4>c3

His optimal=[0,1,4]/5

Her optimal=[0,3,0,2]/5

4. x=3(t-4)/(t-8) and y=-6/(t-8), if
t = 8 this is undefined but can simply solve matrix [When t=8, the system has no solutions. –LV].

5. Mean=11/4, mid range=2/3, center
value=1

[This is wrong. See the other paper for correct answers:

Mean = 33/12 = 2.75 Midrange = 4 Center Value = 3/2 = 1.5. –LV]

]

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From: pae5000@psu.edu

Subject: Midterm 3 one more thing

Date: December 4, 2008 12:24:51 PM EST

Forgot wanted to send what I got from entering the matrix into the website I
used to solve the hw problem.

For 2.

The value is 2.

An optimal strategy for him: (0.6,0,0.2,0.2,0)

An optimal strategy for for her: (0,0,0,0,1,0,0)