At least according to a new study that tested the limits of platonic friendship, asking pairs of opposite-sex friends to reveal the extent of their romantic interest:
Men were much more attracted to their female friends than vice versa. Men were also more likely than women to think that their opposite-sex friends were attracted to them—a clearly misguided belief. In fact, men’s estimates of how attractive they were to their female friends had virtually nothing to do with how these women actually felt, and almost everything to do with how the men themselves felt—basically, males assumed that any romantic attraction they experienced was mutual, and were blind to the actual level of romantic interest felt by their female friends. … Men were also more willing to act on this mistakenly perceived mutual attraction.
A non-scientific but revealing study is seen above.
The Dish 