This paper studies the allocation and rent distribution between buyers and the seller in multiple units sealed-bid auctions. We restrict attention to the complete information case. A simple diagrammatic exposition of equilibria in the first-price and uniform-price auctions is provided and their...

This paper studies competition between a small number of suppliers and a single buyer, (or an auction with a small number of bidders and a single seller) when total demand (supply) is uncertain. It is well known that when a small number of suppliers compete in supply functions the service is not...

We apply a Bernheim-Whinston (1986) type mechanism to a situation where a single buyer with uncertain demand wishes to buy from a small number of suppliers. We let suppliers bid a payment contingent on own quantity supplied, and another payment contingent on the realization of total demand. We...