Both dramas psychological and deal with the deep issues of human nature. We see that both male characters are a mystery at first, and each character has their own battles they must fight. I loved Cheese in the Trap for the most part, but I found that Beautiful Mind far surpasses where CITT fell short, in character development.
Both are psychological drama's that deal with with serval different types of personalities. The male leads are both dark mysterious chaebols. The female leads are caring and seek to try to understand and love the male lead.