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...

We consider second-degree price discrimination for two types of consumers. When the net-of-cost valuation functions cross at least once at some positive quantity, it is always optimal to serve both types of consumers. Moreover, the type with the higher valuation peak always gets the socially...

Stock exchange operators compete for order flow by setting "make" fees for limit orders and "take" fees for market orders. When traders quote continuous prices, they can choose prices that perfectly neutralize any fee division, and traders stream to the exchange with the lowest total fee. The...

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....

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 compare second-degree price discrimination with uniform pricing using two linear demands. Our comparison shows that second-degree price discrimination can result in a welfare-enhancing market foreclosure (both markets are served under uniform pricing but one of them is excluded under...

By focusing on the two intercepts — the price and quantity intercepts — of inverse linear demands, this note shows that compared to uniform pricing, third-degree price discrimination can be neutral. When all price intercepts of sub-markets' inverse demands are the same, not only will all the...