Joseph and Anne can use one strategy some of the time and the
other strategy the rest of the time. Consider the following case of player one
(Joseph) and the opponent (Anne). Joseph  has two
strategies A and B whereas the opponent, Anne  has strategies X and
Y. Utilities have been assigned as indicated below:
Anne
X Y
A 1 – 2
Joseph
B – 1.5 2
Required:
Determine the percentage time Joseph should play strategy A and strategy
B. Also determine the percentage time that Anne  should play strategy
X and strategy Y.