Pricing over multiple periods under forward-looking, strategic consumer purchasing behavior has received significant recent research attention; however, whether consumers actually benefit from this behavior and would voluntarily choose to be strategic has not been previously considered. We...

We show that the optimal prize structure of symmetric n-player Tullock tournaments assigns the entire prize pool to the winner, provided that a symmetric pure strategy equilibrium exists. If such an equilibrium fails to exist under the winner-take-all structure, we construct the optimal prize...