For an all-pay sealed-bid auction of an item for which each bidder's realized value can depend on every bidder's privately observed signal, existence of equilibria in behavioral strategies is established using only the assumption that bidders' value functions and the density function of signals...

For two symmetric bidders, weak monotonicity conditions are shown to imply existence of an equilibrium in mixed behavioral strategies for a sealed-bid first-price auction of an item for which each bidder's value depends on every bidder's observed signal. Such an equilibrium has atomless...

We study cheap-talk pre-play communication in the static all-pay auctions. For the case of two bidders, all correlated and communication equilibria are payoff equivalent to the Nash equilibrium if there is no reserve price, or if it is commonly known that one bidder has a strictly higher value....

This paper considers the problem of equilibrium selection in a common-value second-price auction with two bidders. We show that for each ex post equilibrium in continuous and undominated strategies of the common-value auction, a sequence of "almost common-value" auctions can be constructed such...

We show the existence of a pure strategy, symmetric, increasing equilibrium in double auction markets with correlated private valuations and many participants. The equilibrium we find is arbitrarily close to fully revealing as the market size grows. Our results provide strategic foundations for...

We study optimal selling strategies of a seller who is poorly informed about the buyer’s value for the object. When the maxmin seller only knows that the mean of the distribution of the buyer's valuations belongs to some interval then nature can keep him to payoff zero no matter how much...

In multi-unit auctions, such as auctions of commodities and securities, and financial exchanges, it is necessary to specify rationing rules to break ties between multiple marginal bids. The standard approach in the literature and in practice is to ration marginal bids proportionally. This paper...

This paper investigates symmetric equilibria in first- and second-price auctions with multidimensional types. The constructed model mirrors the information structure of actual procurement auctions. We demonstrate by a counterexample that symmetric and continuous type distribution is not a...