OPERATIONS RESEARCH INFORMS Vol. 00, No. 0, Xxxxx 0000, pp. 000{000 doi 10.1287/xxxx.0000.0000 issn 0030-364X j eissn 1526-5463 j 00 j 0000 j 0001 °c 0000 INFORMS Dynamic pricing when consumers are strategic: Analysis of a posted pricing scheme Sriram Dasu Marshall School of Business, University of Southern California,
[email protected], Chunyang Tong Marshall School of Business, University of Southern California,
[email protected], We study dynamic pricing policies for a monopolist selling perishable products over a ¯nite time horizon to buyers who are strategic. Buyers are strategic in the sense that they anticipate the ¯rm's pricing policies. We are interested in situations in which auctions are not feasible and in which it is costly to change prices. We begin by showing that unless strategic buyers expect shortages dynamic pricing will not increase revenues. We investigate two pricing schemes that we call posted and contingent pricing. In the posted pricing scheme at the beginning of the horizon the ¯rm announces a set of prices. In the contingent pricing scheme price evolution depends upon demand realization. Our focus is on the posted pricing scheme because of its ease of implementation. In equilibrium, buyers will employ a threshold policy in both pricing regimes i.e., they will buy only if their private valuations are above a particular threshold. We show that a multi-unit auction with a reservation price provides an upper bound for the expected revenues for both pricing schemes. Numerical examples suggest that a posted pricing scheme with two or three price changes is enough to achieve revenues that are close to the upper bound.