Based on the reverse auction website-Priceline,we study revenue management problems with both customer-pricing and seller-pricing.Here,a seller wants to sell a given amount of items during a fixed period, and customers arrive according to an arbitrary renewal process.Markov decision process models are presented and expressions for the optimal policies are obtained.These problems differ from the traditional revenue man- agement problems where(1)the seller continuously sets a price,and(2)customers...