We study all-pay auctions (or wars of attrition), where the highest bidder wins an object, but all bidders pay their bids. We consider such auctions when two bidders alternate in raising their bids and where all aspects of the auction are common knowledge including bidders' valuations. We...

This paper examines multi-battle contests whose extensive form can be represented in terms of a finite state machine. We start by showing that any contest that satisfies our assumptions decomposes into two phases, a principal phase (in which states cannot be revisited) and a concluding...

We devise a tractable model to study the buyer's bid double auction (BBDA) that allows correlated signals and interdependent values/costs. We demonstrate that simple, easily calculated equilibria exist in small markets. We prove that the incentive for strategic behavior vanishes at a O (1/η)...

This paper examines multi-battle contests whose extensive form can be represented in terms of a finite state machine. We start by showing that any contest that satisfies our assumptions decomposes into two phases, a principal phase (in which states cannot be revisited) and a concluding...

We provide two novel dynamic double auction (DA) mechanisms for a class of economies and study their convergence property to competitive equilibrium. For DA mechanisms, we find a parameter on the two sequences of the marginal bid increments (bid step-size) and ask decrements (ask step-size) that...

Unique-lowest sealed-bid auctions are auctions in which participation is endogenous and the winning bid is the lowest bid among all unique bids. Such auctions admit very many Nash equilibria (NEs) in pure and mixed strategies. The two-bidders' auction is similar to the Hawk-Dove game, which...

We study equilibria of dynamic over-the-counter markets in which agents are distinguished by their preferences and information. Over time, agents are privately informed by bids and o ffers. Investors diff er with respect to information quality, including initial information precision, and also...

Building upon the static model of Athey and Ellison (2008), we demonstrate the efficient convergence of dynamic position auctions in the presence of consumer search. The entry of low-quality advertisers does not slow this convergence. Our methods are extensions of those introduced by Cary et al....

We propose an extension of the auction model with many divisible commodities for vector price (validity) functions. It can be viewed as a new general equilibrium model for complex systems with active elements. We give its sufficient vector variational inequality formulation and new general...

We study equilibria in second price auctions when bidders are independently and privately informed about both their values and participation costs and their joint distributions across bidders are not necessarily identical. We show that there always exists an equilibrium in this general setting...