Players 1, 2, and 3 are seated clockwise around a circular table, facing the table. Each chooses H or T.Each player gets the payoff 0 if her choice matches the choice of the player to her right, and the payoff 1 if it does not match.

a) Write the normal form of this game.

b) Does this game have a PSNE? If your answer is yes, be sure to write what the PSNE is. If your answer is no, be sure to tell why not.

c) Does this game have a MSNE? If your answer is yes, give a MSNE and show that each player's strategy is a best response to the strategies of the others.