Vertical Contract and Competition Intensity in Hotelling’s Model

This paper explores the impact of intensity of rivalry in downstream market on the equilibrium locations of the downstream firms under a vertical market structure á la Hotelling. We find that: (i) the presence of upstream firms softens the spatial competition in downstream market; (ii) minimum differentiation cannot be achieved as the equilibrium outcome and the equilibrium product differentiation is insufficient relative to socially optimum; (iii) social welfare is higher with a higher weight attached to intensity of rivalry, which is different from the non-monotonic relationship under the horizontal market case; (iv) the equilibrium product differentiation is independent of bargaining power under the two-part tariff contracts, which is different from Brekke and Straume (2004) under linear pricing.