We analyze the effects of asymmetric switching costs on two identical firms that produce an homogeneousgood and compete in prices. Both firms inherit a fraction of themarket which is “locked-in” by the switching costs. When switching costs are low, firms face a tradeoff between charging a high price to their locked in customers, or pricing
We find a necessary and sufficient condition such that a distributional upgrade on a seller’s cost implies a lower expected procurement cost for a buyer. We also show that even under the strongest assumption about this upgrade made in the literature so far, the seller can be worse off, even if this upgrade is costless.