Governor Peanut realizes that if he is to win his party ?? s nomination, he must have some means to formulate, analyze, and choose a

Governor Peanut realizes that if he is to win his party$\mathrm{â??}$s nomination, he must have some means to formulate, analyze, and choose a strategy that his opponent. Senator Papoon can not upset. Hisa aides suggest that he utilize game theory for this purpose. Governor Peanut accepts this suggestion and his research staff provides the payoff matrix, show in the table below. Design the optimal strategy for governor Peanut.

 Senator Papoon

P$1$

P$2$

P$3$

G$1$

$\mathrm{60}$

$\mathrm{45}$

$\mathrm{50}$

Governor Peanut

G$2$

$\mathrm{80}$

$\mathrm{35}$

$\mathrm{40}$

G$3$

$\mathrm{90}$

$\mathrm{65}$

$\mathrm{42}$