Individuals vary in their intrasexual competitiveness attitude, i.e., an important variable reflecting the potential threat or the extent to which one perceives other individuals of the same sex as social or mating rivals. In this study, we investigated the relationship between self-perceived mate value, a construct usually linked to intersexual selection, and intrasexual competitiveness attitude. We postulated that those psychological traits that increase mate value are related to psychological traits underlying intrasexual competitiveness attitude. The results obtained from a sample of 711 young participants of both sexes (M = 16.93 years ± SD = 0.86) indicated that mate value was positively related to intrasexual competitiveness attitude. Specifically, the subscales of Fear of Failure, Wealth, and Looks were positive predictors of intrasexual competitiveness attitude. Moreover, the Looks subscale was more relevant in determining intrasexual competitiveness attitude in women than in men. These three subscales were part of the same factorial structure that appears to be indicative of a self-promoting strategy based on the ostentation of traits through attitudes. As a conclusion, we argue that the individual differences in intrasexual competitiveness attitudes are associated with the differences in psychological features usually associated with intersexual selection.