Discussion paper // Center for Mathematical Studies in Economics and Management Science 1471
We consider an environment where potential buyers of an indivisible good have liquidity constraints, in that they cannot pay more than their `budget' regardless of their valuation. A buyer's valuation for the good as well as her budget are her private information. We derive constrained-e±cient and revenue maximizing auctions for this setting. In general, the optimal auction requires `pooling' both at the top and in the middle despite the maintained assumption of a monotone hazard rate. Further, the auctioneer will never ¯nd it desirable to subsidize bidders with low budgets.