We provide extensions of the Bulow and Klemperer (1996) result when the seller has value for the object above the minimum value of the buyers. The result may fail. We show that the seller does better with more participation and some exclusion than the optimal exclusion of buyers of low value...

In the matching with contracts literature, three well-known conditions (from stronger to weaker)–substitutes, unilateral substitutes (US), and bilateral substitutes (BS)–have proven to be critical. This paper aims to deepen our understanding of them by separately axiomatizing the gap between...

I propose a simple method to nonparametrically estimate the utility function in first-price, sealed-bid auctions when bidders’ participation is exogenous. Using a pair of bid densities, each for a different number of bidders, I establish a contraction mapping that converges to the true utility...

In a complete information setting we show that the standard lottery–in which each lottery ticket is offered for the same price–is an optimal fundraising mechanism in the presence of strong asymmetries in the way bettors value the prize and the public good provided with the lottery proceeds....