Hybristophilia is a term used by criminologists -- but not scientists -- to describe a sexual attraction to violent killers in prison, who often receive racy love letters or sexy undergarments from their fans.
Also known as the "Bonnie and Clyde syndrome," it has existed throughout time and across borders.
Norway's most famous mass murderer gets hundreds of fan letters from lovelorn women, including marriage proposals. Charles Manson had his cult following, even in prison.
Why some women are attracted to "the bad boy" persona baffles normal men.
Perhaps, due to societal pressures and expectations, women have to repress their desires for freedom and adventure. They seek to find fulfillment with "exciting" men who appear to be the rebellious answer to their conservative peer pressures. It also may a motherly adaptation of the theme of trying to change a bad man into a good one.
So who were the "bad boys" of LOST?
Sawyer, the charming con man, clearly used his image and talents to find women falling over him. Even after the con, some women still adored him. The women who fell for him were usually those lonely housewives that lacked a spark of excitement in their marriages, or had self-worth issues that could be solved with a "big financial score." However, Kate was clearly drawn to Sawyer because they shared a same reckless, self-first survival mode.
Ben was a sociopath, a mass murderer. In the show, he had no girlfriend. He tried to impose his will on the women in the compound, but his tyranny did not evoke any connection with women in the camp. However, in fan groups, there were several women who adored Ben's character, which may be closer to the Bonnie and Clyde syndrone mentioned above. Women could be attracted to such a bad character because Ben was not a real person in their lives, much as a prisoner in a life sentence without parole could never be part of the real lives. It is that real barrier that allows the fantasy connection to be expressed by these women.
Jacob may have also been a sociopath. He brought people to the island as candidates, only to have almost all of the candidates perish. He played games with human lives. But he was also a loner. We never saw any connection to anyone, except his Crazy Mother (also a sociopath) and his estranged brother. In an odd way, perhaps Jacob's game of bringing people to the island was a means of combating his loneliness, or a weak attempt to attract someone he could truly love. The mystery of Jacob did spawn a group of followers, including women in the Others camp. But it seems that Jacob never acted upon his cult followers in any way to allow them to meet or interact with him in a human way. Even in Greek stories, the gods would at times come to Earth to mingle, tease, and procreate with interior humans, usually to invoke the wrath of higher gods.