(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

{(-3,-4),(-7,2)} Find the value of the game (basically saying find x*)

2. Relevant equations

E((x,1-x), 1)=E((x,1-x),2))

3. The attempt at a solution

Basically I used dot product of (x,1-x) and column 1 (-3,-7). I got 4x-7 for that, which is my E((x,1-x). Then I found the dot product of (x,1-x) and column 2 (-4,2) and got -6x+2, which is my E((x,1-x),2)). Set them equal to eachother to get my x, and got x=9/10. My Y is 1-x, which is 1/10. Therefore my x*=(9/10,1/10). The back of the book says my x* is (6/10,4/10), so I dunno what the hell I did wrong. I hate this class.

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# Game Theory 2x2 Matrix

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