There recently had been a book out on the market called, The Curse of the Good Girl by Rachel Simmons. Normally it wouldn't have caught my attention especially from the gaming perspective but it did.
The book explained that being a "good girl" holds some women from reaching full potential in society. It describes the "good girl" as being schooled, follows the rules, is a people pleaser and a perfectionist.
So how does that connect women to video games?
Simple, it shows at what kind of audience thinks the typical woman should act and I think most games use the thin line of being a bad vs good girl to an advantage.
There is the stereotypical good girl and bad girl in every game and they add them in to make the video game more appealing.
There isn't a huge difference in male characters in video games. In fact most "good boys" actually have a bad streak somewhere in their character. It isn't questioned if a male character has a good and a bad side but for female charactors they are more likely to be labeled.
Perhaps because in most games men outnumber women in video games, while even happening in movies. If there is five characters and it isn't a chick flick most likely three of them are male while two are female.