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The third mechanism they are considering is as follows. First, Anna cuts the cake into two different pieces. Then, Bob chooses the piece that he

The third mechanism they are considering is as follows. First, Anna cuts the cake into two different pieces. Then, Bob chooses the piece that he would like to eat. Anna gets the other piece.

(a) Use backward induction to predict the outcome of this mechanism.

(b) Is the outcome of this mechanism always Pareto efficient?

(c) Do you think this mechanism is fair?

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