Sunday 15 December 2013

GRAPHICAL METHOD FOR GAMES 2 x n / m x 2 MATRIX

Consider the following 2 x n games

           B1       B2 .............Bn
A1 [    a11       a12.............a1n
A2      a21       a22.............a2n]


Let the mixed strategy for Player A is given by
          [  A1        A2
SA =     P1        P2]         such that p1+ p2=1   and p1,p2 >=0


Now the Pure Strategy for A available to B would be as follows

B's PURE MOVE                   A's EXPECTED PAY OFF
    B1                                         E1(P)=a11P1+a21P2
    B2                                         E2(P)=a12P1+a22P2
     .
     .
     .
     .
    Bn                                         En(P)=a1nP1+a2nP2

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