Assume that the payoff matrix for a two-person game is given by

Then assume that R uses a strategy [r 1 - r]. If C chooses column 1, then R can expect a return of a11r + a21 (1 - r). If C chooses column 2, then R can expect a return of a12r + a22 (1 - r).
(a) Explain why the intersection of the lines
y = a11r + a21 (1 - r)
And
y = a12r + a22 (1 - r)
Gives the value of r that is best for R.
(b) How would you find the best strategy for C, using a comparable argument?

La2i a2