We consider a market in which firms can partially observe each consumer's search behavior in the market. In our main model, a firm knows whether a consumer is visiting it for the first time or whether she is returning after a previous visit. Firms have an incentive to offer a lower price on a...

A common sales tactic is for a seller to encourage a potential customer to make her purchase decision quickly. We consider a market with sequential consumer search in which firms often encourage first-time visitors to buy immediately, either by making an "exploding offer" (which permits no...