We study all-pay auctions with multiple prizes. The players have the same value for all the certain prizes except for one uncertain prize for which each player has a private value. We characterize the equilibrium strategy and show that if the number of prizes is smaller than the number of...

This paper considers incentives for information acquisition ahead of conflicts. We characterize the (unique) equilibrium of the all-pay auction between two players with one-sided asymmetric information. The type of one player is common knowledge. The type of the other player is drawn from a...

Many economic, political and social environments can be described as contests in which agents exert costly efforts while competing over the distribution of a scarce resource. These environments have been studied using Tullock contests, all-pay auctions and rankorder tournaments. This survey...

The paper characterizes the mixed-strategy equilibria in all-pay auctions with endogenous prizes that depend positively on own effort and negatively on the effort of competitors. Such auctions arise naturally in the context of investment games, lobbying games, and promotion tournaments. We also...

This paper analyzes how all-pay auctions with endogenous prizes can be used to provide effort incentives. We show that wide classes of effort distributions can be implemented as equilibrium outcomes of such games. We also ask how all-pay auctions have to be structured so as to induce high...

We study the equilibrium of the all-pay auction with complete information and a reserve price, and compare it with that of standard auctions. The seller should set a reserve price even when she faces incomplete information. In the latter setting, ex-ante asymmetry among bidders appears necessary...

According to the so-called Exclusion Principle (introduced by Baye et alii, 1993), it might be profitable for the seller to reduce the number of (fullyinformed) potential bidders in an all-pay auction. We show that the Exclusion Principle does not apply if the seller regards the bidders' private...

The paper characterizes the mixed-strategy equilibria in all-pay auctions with endogenous prizes that depend positively on own effort and negatively on the effort of competitors. Such auctions arise naturally in the context of investment games, lobbying games, and promotion tournaments. We...

We study two-stage all-pay auctions with two identical prizes. In each stage, players compete for one prize. Each player may win either one or two prizes. We analyze the equilibrium strategies where players' marginal values for the prizes are either declining or inclining.