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.