Asymmetric Spatial Competition

This paper considers price and location decisions of competing duopolists through an approach that integrates the traditional inside location and outside location model. One firm locates inside a linear city along with consumers while the other locates outside it. We analyze a location-price simultaneous game as well as a location-then price sequential game and characterize the equilibria in pure strategies. The transport cost are assumed to be linear-quadratic and borne by the consumers. We find the results are contrasting to the traditional inside and outside location models and the stability of the proposed model is intermediate between the two.