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....

When goods are substitutes, the Vickrey outcome is in the core and yields competitive seller revenue. In contrast, with complements, the Vickrey outcome is efficient but not necessarily in the core and revenue can be low. Non-core outcomes may be perceived as unfair since there are bidders...

Using two-player all-pay auctions, the author fully characterizes the Nash equilibrium under a discrete bidding strategy space. In particular, he shows that under the random tiebreaking rule, the cardinality of the set of Nash equilibrium depends on the parity of the reward size and a continuum...

We analyze takeover operations in which (i) bidding firms are risk-averse; (ii) offers can be made using cash or equity stakes; and (iii) acquirers have asymmetric information. We consider both non-competitive operations, in which a single acquirer initiates the takeover, and competitive...

We study an economy with traders whose payoffs are quasilinear and their private signals are informative about an unobserved state parameter. The limit economy has infinitely many traders partitioned into a finite set of symmetry classes called types. It has a unique rational expectations...

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...

This paper considers a general package auction problem and a class of payment rules we refer to as standard. In a “standard” pricing rule, each winner pays at least his “minimum required value” to win. The minimum required value coincides with the payment in the Vickrey auction, and...

We consider all-pay auctions in the presence of interdependent, affiliated valuations and private budget constraints. For the sealed-bid, all-pay auction we characterize a symmetric equilibrium in continuous strategies for the case of N bidders. Budget constraints encourage more aggressive...

A first-price sealed-bid auction of an item for which bidders are risk-neutral and have privately known values is shown to have an equilibrium in mixed behavioral strategies if the joint distribution of bidders' values has a continuous density on a cubical support. Such an equilibrium has...