Bertrand Competition under Network Externalities

September 2013, Revised May 201

Local network externalities and market segmentation

This paper models interaction between groups of agents by means of a graph where each node represents a group of agents and an arc represents bilateral interaction. It departs from the standard Katz-Shapiro framework by assuming that network benefits are restricted only amongst groups of linked agents. It shows that even if rival firms engage in Bertrand competition, this form of network externalities permits strong market segmentation in which firms divide up the market and earn positive profits. The analysis also shows that some graphs or network structures do not permit such segmentation, while for others, there are easy to interpret conditions under which market segmentation obtains in equilibrium.network structure, network externalities, price competition, market segmentation

Local network externalities and market segmentation

This paper models interaction between groups of agents by means of a graph where each node represents a group of agents and an arc represents bilateral interaction. It departs from the standard Katz-Shapiro framework by assuming that network benefits are restricted only amongst groups of linked agents. It shows that even if rival firms engage in Bertrand competition, this form of network externalities permits strong market segmentation in which firms divide up the market and earn positive profits. The analysis also shows that some graphs or network structures do not permit such segmentation, while for others, there are easy to interpret conditions under which market segmentation obtains in equilibrium

Efficient upgrading in network goods : is commitment always good?

The frequency of upgrades in technology markets is not socially optimal when the quality improvement is negligible and smaller than the adoption cost of the new product. In monopolies, the literature has identifed a suff cient factor for efficient upgrading: the firms power to commit to whether it will upgrade or not in the future. This is not true when an entry threat applies. In fact, it could even be that commitment is a factor of inefficiency when the market is open to competition. As shown in this paper, the incumbentís commitment adds an additional source of inefficiency while an entry threat could dissolve social optimality

R&D incentives, compatibility and network externalities

This paper analyzes the impact of network externalities on R&D competition between an incumbent and a potential entrant. The analysis shows that the incumbent always invests more than the entrant in the development of higher quality network goods. However, the incumbent exhibits a too low level of investments, while the entrant invests too much in R&D in comparison with the social optimum. In the model entry occurs too often in equilibrium. These inefficiencies are solely due to the presence of network externalities. By choosing compatible network goods, firms do not necessarily reduce the R&D competition intensity. --Network externalities,Innovation,Imperfect Competition

A Simple Theory of Predation

We propose a simple theory of predatory pricing, based on scale economies and sequential buyers (or markets). The entrant (or prey) needs to reach a critical scale to be successful. The incumbent (or predator) is ready to make losses on earlier buyers so as to deprive the prey of the scale it needs, thus making monopoly profits on later buyers. Several extensions are considered, including markets where scale economies exist because of demand externalities or two-sided market effects, and where markets are characterised by common costs. Conditions under which predation may take place in actual cases are also discussed.Anticompetitive Behaviour, Exclusion, Below-Cost Pricing, Antitrust

Network Externalities, Demand Inertia and Dynamic Pricing in an Experimental Oligopoly Market

This paper analyses dynamic pricing in markets with network externalities. Network externalities imply demand inertia, because the size of a network increases the usefulness of the product for consumers. Since past sales increase current demand, firms have an incentive to set low introductory prices to be able to increase prices as their networks grow. However, in reality we observe decreasing prices. This could be due to other factors dominating the network effects. We use an experimental duopoly market with demand inertia to isolate the e¤ect of network externalities. We find that experimental price dynamics are rather consistent with real world observations than with theoretical predictions.network externalities, demand inertia, experiments, oligopoly

Dynamic R&D incentives with network externalities

This paper studies the incentives to undertake uncertain R&D initiatives in a dynamic duopoly network industry. It is shown that network externalities positively affect the incentives to invest in R&D. In the model, competition resembles a preemption race and, therefore, market performance implies an overinvestment in R&D in comparison with the social optimum. Moreover, network externalities have an important impact in the dynamic evolution of the industry. Although in the long-run a single firm dominates the market (i.e. wins the race), short-run competition is very fierce and concentrated on neck-and-neck technological configurations. This short-run competition is fiercer and longer, the higher the level of network externalities. Policy measures that increase technological diffusion (i.e. mandatory licensing), increase the level of competition and/or prolong the short-run competition have an important positive impact on consumer welfare and on firms? R&D incentives. --Network externalities,Innovation,Imperfect Competition,Dynamic Games