We find the sufficient conditions for the existence of multiple equilibria in Tullock-type contests, and show that asymmetric equilibria arise even under symmetric prize and cost structures. We then present existing contests where multiple equilibria exist under reasonably weak conditions.

We consider a multi-winner nested elimination contest in which losers are sequentially eliminated to attain the set of winners. This is a variant of a widely used mechanism introduced by Clark and Riis (1996) that allows one to select the winners sequentially. We show that the current mechanism...