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A and B play rock, paper, scissors. Their payoffs are as follows (the first number is A's payoff and the second number is B's payoff):

B

Rock

Paper

Scissors

Rock

0,0

-1,1 

1,-1

Paper

1,-1 

0,0 

-1,1

Scissors

-1,1 

1,-1

0,0

How many Nash equilibria are there in the game? Explain.

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