If you're looking for a one-size-fits-all set of rules, then polygamy - and, in fact, most forms of social interaction, including monogamy, if you're interested in doing it well - is probably not for you.

The freedom that's noted as a trait of polygamy isn't the freedom from complexity (it's complexity that leads to the "rules"), it's the freedom to choose the kind of complexity you want to deal with, and how you're going to deal with it.