Consider the classic game, "rock, paper, scis- sors". The game is simultaneous with payoffs listed as utility levels, with the first payoff going to Steve and the second to Brian:
Brian r p s
r 0, 0 -1, 1 1, -1
Steve p 1, -1 0, 0 -1, 1
s -1, 1 1, -1 0, 0
a. Does this game have any Nash Equilibria? Explain.
b. Explain how one might develop a strategy to play this game.
c. Assume the game is played many times. Does reputation matter at all? Why or why not?