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...

Decision-making processes are studied using non-standard all-pay structures. Our interest is motivated by regulatory, political, legal, military, and economic applications in which individual actions determine the consequences for a larger group or the general public. The common features of...