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Game theory

by pinki82
Tags: game, theory
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Dec6-05, 11:56 AM
P: 10
The LP formulation for player II's problem in a game with payoff matrix T given above, is:

Min v

subject to:

4y1 + y2 + 3y3 <= v
2y1 + 3y2 + 4y3 <= v
y1 + y2 + y3 = 1
yj³0, j = 1, 2, 3, and v is unrestricted

note: <= means greater or equal to

The answer is given as :The optimal solution for player II is=>
y1 = 1/2, y2 = 1/2, y3 = 0.

For the above problem, I dont understand how to find the optimal solutions(y's.
How did they find the y's using above LP formulation? i tried to solve it using the linear algebra..getting echlon form extra..but couldnt get the answer..please help
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