The Optimal Prize Structure of Symmetric Tullock Contests

Abstract

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 structure which improves existence conditions by dampening efforts. If no such optimal equilibrium exists, no symmetric pure strategy equilibrium induces positive efforts.

Keywords: Tournaments, Incentive structures, Rent seeking

JEL Classification: C7, D72, J31