Thank you dot, I was trying really hard there, LOL! My thoughts are fragmented a bit, only got anecdotal observations now, so hear goes nothing.... First off, I realize now that game theory is not what I meant. Not sure if there is a word that describes social dynamics as related to strategy, but 'strategy' is closest to what I meant (always an intriguing topic for me).
I'm not an expert in any of this but again I am challenged and fascinated by your question and wish to hazard a response anyway. While there may be ways of critiquing topics, ideologies, and the relationships based on them, I think these come closest to an anarchistic response (yet even those critiques are not purely influenced by anarchists). Culture and society at large influenced these and could potentially shed light on any possible offense inspired or colored by them. I assume most anarchists hear are probably not keen on playing the role of social worker, and thus, that's a critique to consider as well. In some ways an offensive against domestic violence may be beyond the scope of anarchists, but there may be something there.
When I was a lot younger I temporarily resided amidst a living arrangement in which domestic violence was apparently, unbeknownst to me, the norm, (or at least was previously just a threat, yet to materialize). I don't recall having heard of any anarchist ideas/culture then, and I didn't even have a drivers license or independent means of transportation. After a couple of previous altercations, I physically intervened and at least temporarily ended one violent episode. It was easy for me in those particular circumstances because I was an in-house resident and already knew what I was up against. I only lasted a year in that household and would have left sooner had I the necessary means. It went on for years after I left and eventually the couple parted ways. In the mean time the neighbors threatened to call the police and I think the aggressor did go to jail at least once.
So that brings me to the crux of the matter. Context. Where are the neighbors in these circumstances, and what can they do if anything? Eventually folks are going to grow weary of listening to this and may want to com together some how to do whatever may help, which again, depends on context. They would do well to try out the ideas you mentioned in your answer above first, and discourage calling the police.
Critiquing the nuclear family arrangements that are literally structured into our everyday residential lives is also vital as physical boundaries literally obscure the particulars involved from those that would otherwise be willing to intervene. Again I temporarily had an advantage that the neighbors didn't have because I could quickly asses the risks involved. A change in these living arrangements are most likely or eventually going to be necessary, with maybe some transitional couch-surfing before a more permanent solution can be found.
One advantage folks in the neighborhood have over such aggressors is that the aggressor, in making a spectacle of himself, ends up becoming notorious. Knowing an opponent may help a lot, and most violent crime take place between people that know each other. Even support for such violent individuals can cower away in the face of the social stigma associated with battery and abuse once exposed.
Anyways I know there are psychological conditions associated with 'victim' 'co-dependance' (blah blah blah) and other such jargony limitations, but also I know from experience that hope for the hopeless is a bit intoxicating and maybe it can be made contagious. Also because Ron Sakolsky "Mutual Acquiescence or Mutual Aid?" means all that bullshit can change over night, right? LOL! Just had to end with surrealism again! Cheers!