How about the alternative of showing the name if greater than X percent of the user's last Y comments have been voted down by the same person? If you downvote 98 of a user's last 100 comments and they're not a blatant troll, you probably deserve to earn their wrath, influential or not.
If you don't want to do even that, then how about this instead: for each comment that was modded down, have a button to click for "moderation statistics". If you click on the button it will say something like "This comment was modded down by 2 users. User 1 has modded down 4 of your past 100 posts. User 2 has modded down 99 of your past 100 posts". Suspicious numbers like 99 out of 100 can be grounds for contacting an admin. There's nothing like having an actual human being doing actual adminning. This solution would also prevent someone from gaming the system by noticing that a name is displayed at 95% so he only mods down 94% of someone's posts.
At that point you might as well just write moderation tools for it, without requiring the user input step. Which wouldn't be a bad idea in theory, but it runs into the usual LW bottleneck of development time.
To whoever has for the last several days been downvoting ~10 of my old comments per day:
It is possible that your intention is to discourage me from commenting on Less Wrong.
The actual effect is the reverse. My comments still end up positive on average, and I am therefore motivated to post more of them in order to compensate for the steady karma drain you are causing.
If you are mass-downvoting other people, the effect on some of them is probably the same.
To the LW admins, if any are reading:
Look, can we really not do anything about this behaviour? It's childish and stupid, and it makes the karma system less useful (e.g., for comment-sorting), and it gives bad actors a disproportionate influence on Less Wrong. It seems like there are lots of obvious things that would go some way towards helping, many of which have been discussed in past threads about this.
Failing that, can we at least agree that it's bad behaviour and that it would be good in principle to stop it or make it more visible and/or inconvenient?
Failing that, can we at least have an official statement from an LW administrator that mass-downvoting is not considered an undesirable behaviour here? I really hope this isn't the opinion of the LW admins, but as the topic has been discussed from time to time with never any admin response I've been thinking it increasingly likely that it is. If so, let's at least be honest about it.
To anyone else reading this:
If you should happen to notice that a sizeable fraction of my comments are at -1, this is probably why. (Though of course I may just have posted a bunch of silly things. I expect it happens from time to time.)
My apologies for cluttering up Discussion with this. (But not very many apologies; this sort of mass-downvoting seems to me to be one of the more toxic phenomena on Less Wrong, and I retain some small hope that eventually something may be done about it.)