We consider a firm that sells products that arrive over time to a buyer. We study this problem under a notion we call positive commitment, where the seller is allowed to make binding positive promises to the buyer about items arriving in the future, but is not allowed to commit not to make...

We consider a manufacturer selling to a retailer with private demand information arising dynamically over an infinite time horizon. Under a backlogging model, we show that the manufacturer's optimal dynamic long-term contract takes a simple form: in the first period, based on her private demand...