A three-part tariff refers to a pricing scheme consisting of a fixed fee, a free allowance of units up to which the marginal price is zero, and a positive per-unit price for additional demand beyond that allowance. The three-part tariff and its variations are commonly used in both final-goods...

This paper studies probabilistic selling with vertically differentiated products when firms compete and consumers anticipate the potential post-purchase regret raised by possibly obtaining the inferior products. Intuitively, anticipated regret hurts the attractiveness of probabilistic selling....

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...

This paper investigates the viability of Pay-What-You-Want (PWYW) pricing when firms compete without restrictions of a minimum payment requirement. We show that the equilibrium outcomes are different when underpayers, consumers paying less than marginal cost, are present as opposed to when they...

We study a duopoly vertical competition in which one firm sells a transparent product and the other sells an uncertain product that may induce consumer feelings. We identify a neutrality condition under which those feelings do not affect either firm’s profit, but this neutrality can be broken....