Game theory

  1. 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
  2. jcsd
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