Basically if they made a Ghostbusters game, I'd want it to be like a sub group starting up in another city. Have email correspondence, maybe have some voice acting from original casts,
The benefit of a new city is that they can make up a city and let you do what ever you want. You'd have to get your reputation up, choose where to build the facility, and the game could have you become governor and let you manage some aspects of the city. It wouldn't be horribly complicated, but basically the more you expand the city, the more unmarked graves you defile, the more hauntings, not dealing with the hauntings will make the city a ghost town...
You'd have a standard Story progression, but everyone would have a different intimate experience. You'd be proud of how big your city is. If you wanted to, you could resign from the governor ship or not apply for the governor position, and it would expand sort of neutrally. Bare minimum to have a good experience or to balance out your mistakes.
Reason why you'd add this Mayoral/Gubernatorial position is basically to make sure that it adds a sense of depth, replayability, longevity, and most importantly, something to learn for power gamers.