1) The document provides market data on market share, sole loyalty, and customer duplication for 8 cosmetics brands, including 3 prestige brands (Christian Dior, Estee Lauder, Shiseido).
2) Analysis of the data shows that bigger brands have higher market share and loyalty, consistent with the "double jeopardy effect", while prestige brands have higher-than-expected loyalty given their smaller size.
3) Dior's main competitors are Estee Lauder and Clinique based on high levels of customer duplication; the best strategy for Dior growth is likely reducing duplication with these brands to take a share of their customers.