In this paper, we extend the standard Hotelling model of product differentiation to incorporate a second dimension of consumer heterogeneity that relates to the quantity of the product consumers wish to buy. This extension allows us to derive optimal nonlinear pricing rules chosen by competing...

In this work, I look at two competitive auction settings where a profit maximizing seller chooses auctions as a vehicle to sell to strategic bidders. In both essays, the auctioneers problem is the selection of the optimal auction format. In the first essay, the auctioneer has a single item to...