Solve the following game using graphical approach:

Here A has two strategies a1 and a2 which, suppose, he plays with probabilitiesx and 1-x respectively. When B chooses to play b1, the expected payoff for A shall be 8x + (- 6) (1 -x) or 14x - 6. Similarly, the expected pay-off functions in respect of b2, b3 and b4 can be derived as being 6-x; 4-1 lx; and 1 lx-2, respectively. We can represent these by graphically plotting each paY-off as a function of x. This is shown in Figure 15.2

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A's Strategy B's Strategy b b b3 b4 a 8 5 -7 9 a2 -6 6 4 -2