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A game everyone knows is coin flipping. Suppose that Player 1 flips the coin (and is so skilled that he is able to flip it whichever way he wants) and Player 2 calls heads or tails. The winner gets $10 from the loser. Player 2 (calls) Heads Tails Player 1 (flips) Heads - 10, 10 10, - 10 Tails 10, - 10 - 10, 10 [a.] Does either player have a dominant strategy? If so, which player and what is the dominant strategy. [b.] Is there a Nash equilibrium in this game? Explain. [c.] Games like this are called zero-sum games. Briefly explain why.

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