Social influence is ubiquitous in cultural markets and plays an important role in recommendations for books, songs, and news articles to name only a few. Yet social influence is often presented in a bad light, often because it supposedly increases market unpredictability. Here we study a model of trial-offer markets, in which participants try products and later decide whether to purchase. We consider a simple policy which re- covers product quality and ranks the products by quality when presenting them to market participants. We show that, in this setting, market efficiency always benefits from social influ- ence. Moreover, we prove that the market converges almost surely to a monopoly for the product of highest quality, mak- ing the market both predictable and asymptotically optimal. Computational experiments confirm that the quality ranking policy quickly identifies “blockbusters”, outperforms other policies, and is highly predictable.