me either or me neither?

[Toleman]

Thanks

[styley]

2nd one

[Quizmonster]

Strictly speaking, neither of the options is 'correct'. Better to say, "Nor I." So, if one person says, "Well, I won't do it" and you agree with that, you ought to say, "Nor (will) I."
However, in common speech, the most frequently used of the two options you list is, "Me neither."

[Quizmonster]

You could, of course, use 'neither' by saying, "Neither will I." "Either will I" is simply wrong.

[jonpmay]

nor me

[Quizmonster]

Yes, people do say. "Nor me", but it is generally incorrect in that it should be, "Nor I." It depends, as always, on the context.
In my earlier example above..."Well I won't do it"..."Nor (will) I"...the 'will' is optional but the 'I' is compulsory and 'me' just won't do. That's if you want to be grammatically correct by using the nominative case as required.
However, if the situation involved the objective/accusative case, 'me' would be fine. For example, if the first speaker said. "Well, he didn't cheat me", the second would be correct to say. "Nor me."
As I already said, in common everyday speech the "Me neither" version would almost certainly be used. It all depends, Toleman, whether you want the 'correct' answer or the one most people actually 'use'!

[Quizmonkey]

If only everyone understood the English case system as well as you (and I) QM!

Can I just add that 'me either' is a US colloquial form of the English 'me neither'.