If the damage done is somewhere between zero and negligible and you don't know you are not the only one affected, inaction is sometimes the best policy. The idiot will get bored from getting no reaction and fade away. Reporting them won't stop them doing the same thing to others and more and inaction will - they can do the same thing to others using new accounts just as well as they can re-hound you with new accounts.
It is the same as arguing with idiots, as the old saying goes: they will drag you down to their level then "win" through a mix of experience and perseverance. (please note: this is a general comment, I'm not intending to call you an idiot at all here!). I dealt with bullies as lot in earlier life and random fools on the Internet are absolutely no different (aside from getting their apparent confidence due to relative anonymity rather than size of fighting experience). Sometimes ignoring them is the best policy for all (though, of course, use your judgement).
Of course if they are causing appreciable damage, the picture is different. And don't just report them to twitter. If they are trying to extort money from your business, report them to the relevant legal authority (if one is clear, this unfortunately can be difficult to determine).
It is the same as arguing with idiots, as the old saying goes: they will drag you down to their level then "win" through a mix of experience and perseverance. (please note: this is a general comment, I'm not intending to call you an idiot at all here!). I dealt with bullies as lot in earlier life and random fools on the Internet are absolutely no different (aside from getting their apparent confidence due to relative anonymity rather than size of fighting experience). Sometimes ignoring them is the best policy for all (though, of course, use your judgement).
Of course if they are causing appreciable damage, the picture is different. And don't just report them to twitter. If they are trying to extort money from your business, report them to the relevant legal authority (if one is clear, this unfortunately can be difficult to determine).