This paper investigates those cases where firms use both comparison advertising to affect the preference of consumers and price competition to acquire greater profits, and then we analyze the effects of firms’ noncooperative and cooperative comparison advertising strategies on those firms' comparison advertising, product prices and profits, consumer surplus and social welfare. We find that only with specific loyalty segmentation, can firms increase their market share and profits by using comparison advertising. However, this implies that with specific loyalty segmentation, firms engaging in comparison advertising to intensify product differentiation in an effort to increase their market share actually tend to loose the intensity of price competition. Finally, we find that the effects of changing consumers’ loyalty segmentation on social welfare depend on which interval those consumers belong to. When consumers have a relatively high degree of loyalty, firms employing cooperative comparison advertising can actually increase social welfare.