The LP formulation for player II's problem in a game with payoff matrix T given above, is:(adsbygoogle = window.adsbygoogle || []).push({});

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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Game theory

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**