For an example of what a society like this looks like now, there are a number of Muslim societies (and a few hidden corners in the US) that legalize polyamory.
Notably, they follow pre-birth control setups and are male centered (one man, many wives), and do indeed exclude large swathes of men from the economy and relationships.
One woman, many husband type setups are quite rare outside of nomadic/pastoral communities.
As to with birth control? Harder to say.
Many<->Many setups seem to have a lot of historical precedent, but mostly in societies without strong property rights (nomadic tribal) as they tend to be unstable over time and unpredictable. No large scale societies exist like that I am aware of.
Notably, they follow pre-birth control setups and are male centered (one man, many wives), and do indeed exclude large swathes of men from the economy and relationships.
One woman, many husband type setups are quite rare outside of nomadic/pastoral communities.
As to with birth control? Harder to say.
Many<->Many setups seem to have a lot of historical precedent, but mostly in societies without strong property rights (nomadic tribal) as they tend to be unstable over time and unpredictable. No large scale societies exist like that I am aware of.