Scissors, paper, stone game. This game is well known in many parts of the world. Two players...

Scissors, paper, stone game. This game is well known
in many parts of the world. Two players simultaneously present a hand in one of
three positions: an open hand (paper), a closed fist (stone), or two open
fingers (scissors). The payoff is 1 unit according to the rule “Paper covers
stone, stone breaks scissors, and scissors cut paper.” If both players present
the same form, the payoff is 0.

(A) Set up the payoff matrix for the game.

(B) Solve the game using the simplex method discussed in
this section. (Remove any recessive rows and columns, if present, before you
start the simplex method.)