Oddly enough, that's how humans used to be prior to adopting pair bonding to forward the species toward civilisation, farming and large scale population centres. Humans are naturally a tournament species, determined by a large difference in sexual dimorphism, and that has four characteristics to it. The alpha male who has 3-4 wives (this is also why women complain about high status men not committing because back in the tribe, they would), the women who raise all the children and where boys who reach coming of age would move to the men's side of the tribe and the beta males who benefit from a group survival strategy but get nothing from the women.

The birth control pill, the decline in the role of man in a monogamous relationship and online dating are a few reasons why we are slowly heading back to a tournament species model. We still have 70-80% of the population who still engage in monogamous relationships but things are slowly shifting. You have a small percentage of men monopolising dating, women sharing the high status men indirectly and starting to engage in the state helping women raise the children via welfare, childcare and schools and a large body of men who pay the taxes and get nothing in return. Hoe_math recently did a short video showing this model of society.