We extend the well-known spatial competition model (d'Aspremont et al., 1979) to a continuous time model in which two firms compete in each instance. Our focus is on the entry timing decisions of firms and their optimal locations. We demonstrate that the leader has an incentive to locate closer...

Although outsourcing input production has long been considered as an important approach to help downstream manufacturers enhance structural efficiency, we provide a theoretical explanation for why outsourcing may negatively affect downstream firms' profitability. We consider a duopoly model...

We investigate the entry timing and location decisions under market-size uncertainty with Brownian motions in a continuous-time spatial competition duopoly model a la d'Aspremont et al. (1979). Under a sequential equilibrium, the threshold of the follower non-monotonically increases in...

We study the entry timing and location decisions of two exclusive buyer-supplier relationships in a continuous-time spatial competition model. In each relationship, the firms determine their entry timing and location, and negotiate a wholesale price through Nash bargaining. Then, the downstream...

We discuss the effect of personalized pricing on profits and welfare in a Hotelling model in which consumers can simultaneously purchase from both firms. As the additional gain from the second purchase increases, personalized pricing is more likely to harm (resp., benefit) consumers (resp.,...

Personalized pricing has become a reality through digitization. We examine firms' incentives to adopt one of the three pricing schemes: uniform, personalized, or group pricing in a Hotelling duopoly model. There are two types of consumer groups that are heterogeneous in their mismatch costs. We...

We investigate the effects of restricting locations of firms into Hotelling duopoly models. In the standard location-price models, the equilibrium distance between firms is too large from the viewpoint of consumer welfare. Thus, restricting locations of firms and reducing the distance between...