Does this game have any nash equilibria

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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?

Reference no: EM131244411

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