Christiaan Behrens

Capacity Choice under Uncertainty with Product Differentiation

We explore the characteristics of a capacity-then-price game for a duopoly market with product differentiation and stochastic demand. The analysis shows that a minimum threshold value for the level of vertical product differentiation exists, relative to horizontal product differentiation, for which existence of a Nash equilibrium in pure strategies is guaranteed. We find that when the quality and cost differences between the firms exactly offset each other, demand uncertainty causes equilibrium outcomes in capacities to become asymmetric. Without demand uncertainty, only a symmetric equilibrium can be established. This difference between stochastic and deterministic demand is the main driver behind our finding that if the regulator ignores the stochastic nature of demand, regulation lowers welfare for a large range of parameters, that is for approximately 10 per cent of the plausible parameter space.

Deterministic versus Random Utility: Implied Patterns of Vertical Product Differentiation in a Multi-Product Monopoly

In this article we study patterns of vertical product differentiation in a multi-product monopoly using a random utility model. Prior research shows that applying such a model in a multi-product setting implies symmetric patterns of product differentiation in which all product variants of a single firm have the same characteristics. Assuming that preferences differ across consumers and allowing for unobserved demand heterogeneity, we numerically show the existence of asymmetric, fully differentiated, patterns of vertical product differentiation in which the monopolist maximises profits by setting prices and qualities. In particular, we show that the patterns of vertical product differentiation depend crucially on the level of unobserved demand heterogeneity and the observed dispersion of willingness to pay for quality. Only if unobserved demand heterogeneity is small relative to the observed dispersion, asymmetric, fully differentiated, equilibriums exist. Furthermore, we find in our model that the level of unobserved heterogeneity and the dispersion of willingness to pay for quality do not affect the relative welfare efficiency of the monopolist.

Domestic Market Power in the International Airline Industry

We posit and empirically test the hypothesis that airlines are able to charge a fare premium in markets that originate in their domestic country relative to similar markets that originate in foreign countries. To this end, we focus on intercontinental one-stop air travel trips for which the main, intercontinental, flight legs are identical, while the feeder legs depart from a mixture of domestic- and foreign origins. We collect a unique database of published fares for such trips and estimate reduced form fare regressions with main flight leg fixed effects. We find that trips from and to domestic airports (compared with foreign airports) are characterized by about 9.5 per cent higher fares, even after adding controls for airport dominance, trip operating costs, the competitive environment and origin catchment area characteristics. These findings demonstrate that airlines have substantial domestic market power, enabling them to raise fares at their domestic airports irrespective of aforementioned market conditions. The magnitude of this domestic country effect is large relative to the traditional airport dominance effect, suggesting that the distinction between domestic- and foreign origins is a crucial determinant of the degree of market power that airlines can exert in the international airline industry.

Market Structure and the Pricing of New Products: A Nested Logit Approach with Asymmetric Firms

This article investigates competition in a market with an emerging technology using a discrete choice model to analyze demand and welfare. We focus on industry structure and investigate the impact of different market structures on demand for the new technology and on welfare. The car market serves as a prime example of such a market, where electric vehicles (EV’s) represent the new technology competing with standard cars with internal combustion engines (ICV’s). To analyze such a market, we use a nested logit model. In contrast to earlier literature, we allow firms to be asymmetric and active in multiple nests, with different numbers of variants in each nest, which can add up to any market share. Additionally, we add to existing literature by considering the case where substitutability between firms is stronger than between technologies, by nesting products by technology instead of by firm. We find implicit analytical solutions for the equilibrium mark-ups which can be used when there are two nests in the market; within that restriction firms can be asymmetric. Numerically, we find that EV sales are higher if offered by a new entrant only selling EV’s as opposed to when it is supplied by a firm selling variants of both types. We present an index based on mark-up differences between variants in the market, which can be used to a priori determine whether a change in market structure would increase or decrease welfare. These results are general to the nested logit model, and the index can thus be used in any market, as long as the market is sufficiently accurately described by the nested logit model.