We consider non-sealed bid online auctions of common products with quantity uncertainty. Both first-price (also known as pay-as-you-bid) and uniform-price auctions are considered. In these auctions, all bidders have the same valuation of the products but may have different demand quantities. The...

We consider an open electricity market with demand uncertainty. In this market, the generators each decide on a bidding price to maximize profit. Units are dispatched in order of the bid from lowest to highest until demand is satisfied. The market clearing price is the highest bid among the...