This paper discusses revenue inequalities, utility equivalence, and a model of competition in auction design in symmetric equilibrium of k-price auctions, <InlineEquation ID="Equ1"> <EquationSource Format="TEX">$k\ge 1$</EquationSource> </InlineEquation>, all in the setup of symmetric independent-private-value auctions. Our recommendation to organizers of auctions is to conduct...</equationsource></inlineequation>

This paper proposes a framework for demand estimation with data on bids, bidders' identities, and auction covariates from a sequence of eBay auctions. First the aspect of bidding in a marketplace environment is developed. Form the simple dynamic auction model with IPV and private bidding costs...