A number of ways: the CEO could simply close the doors, sell off stock, etc., Or maybe it was on the decline and ready to vanish like the ever-nasty Subway franchise. Plot Convenience 101, Part One: the series is trying to set up a triangle, but that would make Kate seem immoral / predatory (breaking up a marriage), while having the negative effect of making Sophie seem like an uncaring user, and there's no way her husband should end up saying something along the lines of, "You know...I always knew this was not real / what you wanted. If leaving me for Kate makes you happy, then I'm happy.." In Alice's defense, a single crime leader wanting to "rule" a city is a long-lived comic book trope.. but its never held much water IF its not based on real world crime lords, who psychologically invest in corruption and profit form moral decay (like the 18th Street, La Eme gangs, et al.), otherwise, what is the purpose? To sit on a throne and...be "eeeevil" and controlling for no logical reason? At present, she is motivated by her hatred of her father, and hopes to rope Kate into her ranks, but "ruling a city is one of those tropes that should be quietly swept away, replaced by another kind of criminal interest. I do not expect any of Batman's A-listers to show up, so the series will need to rely on Alice, which is okay, because she's sadistic / bitter enough to become an interesting problem down the road, whether she exploits Kate's family issues or not. Ahh. I thought about that--and its Plot Convenience 101, Part Two in the sense that the established authority must appear weak / ineffectual in order the justify the actions / involvement of the series lead. That kind of plotting has to be dropped, otherwise the Crows will seem as useless and Commissioner Gordon and Chief O'Hara from the 1966-68 Batman TV series, where they could not cross the street without ending up relying on Batman & Robin.. Well, that's a problem with most Berlanti series--its all so much an obvious, count-hen-punch, count-then-kick series of stunts, like a show at an amusement park, and that never comes off as real or painful for the characters. On the opposite end, in Batman v. Superman: Dawn of Justice, the entire sequence of Batman's fight with Luthor's thugs (when rescuing Martha) was spectacular in that the choreography was not obvious, so the fight was fantastic, brutal and felt like bones were being broken. Batman had his own form of combat--perfectly comic accurate--which was not the case for Kane's fights. If you don't have an advantage with a style that is unique, eventually, opponents (particularly those who are well trained) will have your number. That should be explored in upcoming episodes, as she's not really showing anything that would set her apart from others in a fight.