To Commit or Not to Commit: Revisiting Quantity vs. Price Competition in a Differentiated Industry

Previous studies have shown that quantity commitment by all firms in an industry mitigates price competition. This paper shows that when firms have a choice, asymmetric outcomes can arise, with some firms choosing to commit to a quantity and other firms choosing not to. To study the commitment decision, we analyze a multistage game within a duopoly of differentiated firms a la Hotelling. In the first stage of the game, firms choose whether or not to commit to a quantity. In the second stage, each firm that chose to commit sets a quantity, which represents an upper bound on how much it can sell to consumers. In the third stage, both firms set prices strategically, regardless of whether or not they committed. In the final stage, demand is allocated as consumers maximize their utilities. Firm(s) that chose not to commit to a quantity in the first stage can fulfill any quantity that consumers demand at the equilibrium prices. We find that if product differentiation is sufficiently low, both firms choose to co...