Switching Costs and Equilibrium Prices

In a competitive environment, switching costs have two eects. First, they increase the market power of a seller with locked-in customers. Second, they increase competition for new customers. I provide conditions under which switching costs decrease or increase equilibrium prices. Taken together, the suggest that, if markets are very competitive to begin with, then switching costs make them even more competitive; whereas if markets are not very competitive to begin with, then switching costs make them even less competitive. In the above statements, by "competitive" I mean a market that is close to a symmetric duopoly or one where the sellers' discount factor is very high