The paper examines a general class of multi-unit auctions. The class of games investigated includes uniform-price, pay-your-bid, all-pay and Vickrey auctions as special cases. The seller offers k identical units of goods and sets the minimum accepted bid. Bidders have atomless valuation...

I show that in a private value multi-unit uniform-price auction, the reservation price increases both the efficiency and revenue. In equilibrium the difference between the true value of a unit and the submitted bid (shading) is different for each unit; therefore, the seller cannot allocate units...