In act 3 in scene 1 of taming of the shrew, what new aspects of Bianca's character emerges?

Bianca likes to play with both her suitors. It becomes clear that Bianca prefers Lucentio. Bianca is much more easy than Kate to woo. She can keep up with the clever turns of phrase that her suitors deliver and is much more receptive to Lucentio's, in particular, affections. Bianca is much "tamer" than Kate but we wonder if she lacks the insight that the fiery Kate has into the male psyche.