Can a decline in search cost increase prices?

This paper provides a new explanation of why a decline in consumers' price search cost may not lead to lower prices. In a duopoly with price competition, I show that when some consumers are captive to one firm, there may be a non-monotonic relationship between search cost and market power; firms may charge high prices with higher probability and the average price charged may be higher when consumers' price search cost falls below a critical level. Furthermore, when firms have asymmetric captive segments, expected prices charged by each firm may move in opposite directions as search cost declines.