We justify risk neutral equilibrium bidding in commonly known fair division games with incompleteinformation by an evolutionary setup postulating (i) minimal common knowledge, (ii) optimal responses to conjectural beliefs how others behave and (iii) evolutionary selection of conjectural beliefs...

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 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...

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...

Affiliation has been a prominent assumption in the study of economic models with statistical dependence. Despite its large number of applications, especially in auction theory, affiliation has limitations that are important to be aware of. This paper shows that affiliation is a restrictive...

We consider a procurement auction, where each supplier has private costs and submits a stepped supply function. We solve for a Bayesian Nash equilibrium and show that the equilibrium has a price instability in the sense that a minor change in a supplier.s cost sometimes result in a major change...

Discontinuous games, such as auctions, may require special tie-breaking rules to guarantee equilibrium existence. The best results available ensure equilibrium existence only in mixed strategy with endogenously defined tie-breaking rules and communication of private information. We show that an...