Dynamic Spatial Competition between Multi-Store Firms

We propose a dynamic model of an oligopoly industry characterized by spatial competition between multi-store firms. Firms compete in prices and decide where to open or close stores depending on demand conditions and the number of competitors at different locations, and on location-specific private-information shocks. We provide an algorithm to compute Markov Perfect Equilibria (MPE) in our model. We conduct several numerical experiments to study how the propensity of multi-store retailers to spatial preemptive behavior depends on the magnitude of entry costs, exit value and transportation costs