In my young life I have lived in quite a few households – first with my primary family, then I moved to college where a lot of interesting room-mate situations happened, and now I live with a partner. In these households there was ALWAYS some sort of dispute around household management and chores.
To settle at least the basics of shared responsibility, we have tried many methods; most commonly there was a list of stuff to do and stuff to buy hanging somewhere in the house, sometimes we resorted to holding interventions for the ones that did not do their share of work, and in recent years we have toyed with the idea of using technology to get our household working. We tried shared calendars, shared to-do lists and angry emails. I do have to say that basically all the methods worked – for a limited amount of time. Then the initial intent wore off and we were back to where we started.