DP7874 | Caps in Sequential Contests

Publication Date

01/06/2010

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Abstract

We study a sequential two-stage all-pay auction with two identical prizes. In each stage, the players compete for one prize and each player may win either one or two prizes. The designer may impose a cap on the players' bids in each of the stages. We analyze the equilibrium in this sequential all-pay auction with bid caps and show that capping the players' bids is profitable for a designer who wishes to maximize the players' expected total bid.