We consider a nonlinear pricing problem faced by a dominant firm which competes with a capacity-constrained minor firm for a downstream buyer who may purchase the product from the firms under complete information. Specifically, we analyze a three-stage game in which the dominant firm offers a...

We investigate the strategic effects of all-units discounts (AUDs) used by a dominant firm in the presence of a capacity-constrained rival. Due to the limited capacity of the rival, the dominant firm has a captive portion of the buyer's demand for the single product. As compared to linear...

All-units discounts (AUD) are pricing schemes that lower a buyer's marginal price on every unit purchased when the buyer's purchase exceeds or is equal to a pre-specified threshold. The AUD and related conditional rebates are commonly used in both final-goods and intermediate-goods markets....