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Seated counter-clockwise around circular table

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Players 1, 2, and 3 are seated counter-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 left, and the payoff 1 if it does not match.

1. Write the normal form of this game.

2. 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.

3. 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.

Reference no: EM133311841

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