In this article, I analyze price competition under price inertia. Afte
r setting prices, sellers are unable to change them for a period of pr
edetermined length, but may delay price commitments indefinitely. Alth
ough most consumers consider the firms' products to be perfect substit
utes, an arbitrarily small number of ''captive'' consumers display bra
nd loyalty to a particular firm, even when the competing brand is chea
per. In this article, I show that a firm with even slightly fewer capt
ive customers than its competitor achieves monopoly power over all rem
aining consumers.