Who threw the first rock?
"Blame the other person back": this is the solution to being blamed?...too funny.
Maybe your partner is responding to your blaming them by blaming you (a very common response to receiving blame is to start blaming: as this article demonstrates).
How about focusing on partners improving communication skills rather than encouraging partners to call each other names?
You 'blamer' you (feels good, name calling, doesn't it?).