4. A game that 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.

a. Does either player have a dominant strategy?
b. Is there a Nash equilibrium in this game? Explain.
c. Games like this are called zero-sum games. Can you explain why?

Transcribed Image Text:

Player 2 (call) HEADS TAILS HEADS -10, 10 10,-10 TAILS 10,-10 -10, 10 PLAYER 1 (FLIP)