I examine an infinite-period duopoly market with positive consumer swi
tching costs and overlapping generations of consumers. When consumers
have a finite time-horizon, then, unlike Beggs and Klemperer [1992], t
he two firms may alternate dominance from one period to the next, alte
rnately charging high and low prices. This agrees with the intuition t
hat firms with a high locked-in market share may set price so as to ex
ploit that market share, which causes a subsequent low market share am
ong the new cohort of buyers, leading to lower prices, etc.