I am still having a look at facebook's looong page and content rules but quickly I wanted to ask something, Let's say we have a brand called "x", and they have an official facebook page. Can I create a page with a name "x dislikers" ? Is it against facebook rules? There won't be any illegal content, hate speech or other risky stuff.
Not sure if its against facebooks T+C but if its a large corporation you are doing it to I would be very wary because they have large wallets for this type of thing and don't think twice about making an example of people even if it means they lose money.
This is not against the guidelines... In fact this is very common over social networking websites. But I would advise you not to this for ruining your competitor's reputation. You never know what they can do to your reputation. So, play safe!