We analyzed the market for indivisible, pure status goods. Firms produce and sell di¤erent brands of pure status goods to a population that is willing to signal individual abilities to potential matches in another population. Individual status is determined by the most expensive status good one has. There is a strati…ed equilibrium with a …nite number of brands. Under constant tax rates, a monopoly sells di¤erent brands to social classes of equal measure, while in contestable markets, social classes have decreasing measures. Under optimal taxation, contestable markets have progressive tax rates, while a monopoly faces an adequate ‡at tax rate to all brands. In contrast with the literature, subsidies may be socially optimal, depending on the parameters, in both market structures.

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