Transport Cost Sharing and Spatial Competition

We consider a linear city model where both firms and consumers have to incur transport costs. Following a standard Hotelling (1929) type framework we analyze a duopoly where firms facing a continuum of consumers choose locations and prices, with the transportation rate being linear in distance. From a theoretical point of view such a model is interesting since mill pricing and uniform delivery pricing arise as special cases. Given the complex nature of the profit function for the two-stage transport cost sharing game, we invoke simplifying assumptions and solve for two different games. We provide a complete characterization for the equilibrium of the location game between the duopolists by removing the price choice from the strategy space. We then find that if the two firms are constrained to locate at the same spot, the resulting price competition leads to a mixed strategy equilibrium with discriminatory rationing. In equilibrium both firms always have positive expected profits. Finally, we derive a pure strategy equilibrium for the two-stage game. Results are then compared with the mill pricing and uniform delivery pricing models.Spatial competition; Cost sharing

When Consumers and Firms Share Transportation Costs

We consider a standard linear city model with two firms, where firms and consumers both incur transport costs. This is done by assuming that the total transport cost is shared by the buyers and sellers according to an exogenously given rule. In the model, firms choose locations and prices, with the transportation cost being linear in distance. We first derive the profit function for the two-stage transport cost sharing game and find that it has a complex form. We then invoke simplifying assumptions and solve for two different games. We provide a complete characterization for the equilibrium of the location game between the two firms by assuming fixed prices. We then examine the price game when the two firms are constrained to locate at the same spot. The equilibria of these two games provide insights about the complex two-stage game. </jats:p

Modulated photocurrent and photoluminescence for the characterization of silicon heterojunctions: experiments and simulation

International audienc

Application de la technique de photocourant modulé (MPC) aux cellules à hétérojonctions c-Si / a-Si:H

International audienc