In the 2 Player, the zero-sum game "Rock, Scissors, Paper" Each player plays one of 3 strategies. Three Rules - "Rock breaks Scissors"; "Scissors cut Paper"; and "Paper cover Rock".

Now the player B chooses Paper the loser pays the winner 3,

then,

	Rock	Paper	Scissor
Rock	0	-3	1
Paper	1	0	-1
Scissor	-1	3	0

1) Please show that A=(1/3, 1/3, 1/3) and B=(1/3, 1/3, 1/3) together are not a Nash equilibrium for this position.

2) And also formulate a linear program, which can be used to calculate a mixed strategy that maximises the Player A security level in this position games.