We consider multi-stage elimination contests, where agents’ efforts at different stages generate some output for the organizers. Depending on the output function we characterize the optimal prize structure of the tournament and show that it is almost efficient. We have found that in some cases...

We develop a model of assignment games with pairwise-identity-dependent externalities. A concept of conjectural equilibrium is proposed, and the universal conjecture is shown to be the necessary and sufficient condition for the general existence of equilibrium. We then apply the solution concept...