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...

This paper investigates an asymmetric duopoly model with a Hotelling line. We find that helping a small (minor) firm can reduce both social and consumer surplus. This makes a sharp contrast to existing works showing that helping minor firms can reduce social surplus but always improves consumer...

We provide a theoretical framework to discuss the relation between market size and vertical structure in the railway industry. The framework is based on a simple downstream monopoly model with two input suppliers, labor forces and the rail infrastructure firm. The operation of the downstream...

Innovators who have developed advanced technologies, along with launching new products by themselves, often license these technologies to their rivals. When a firm launches a new product, product positioning is also an important matter. Using a standard linear city model with two firms, we...

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...

Innovators who have developed advanced technologies, along with launching new products by themselves, often license these technologies to their rivals. When a firm launches a new product, product positioning is also an important matter. Using a standard linear city model with two firms, we...

This paper investigates an asymmetric duopoly model with a Hotelling line. We find that helping a small (minor) firm can reduce both social and consumer surplus. This makes a sharp contrast to existing works showing that helping minor firms can reduce social surplus but always improves consumer...

We provide a theoretical framework to discuss the relation between market size and vertical structure in the railway industry. The framework is based on a simple downstream monopoly model with two input suppliers, labor forces and the rail infrastructure firm. The operation of the downstream...