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I regret to say that in your scenario, the men would be even more heavily selected than the women. If you don't think most dudes would be happy to have 20 wives while you have none, you're mistaken. And to many, your having none would be almost as attractive as their having 20.

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This is where Darwinism kicks in my friend. I will use all the tools necesary to fight for my 20 wives even if I have to kill 100 men. Better yet, I can kill all the men on the planet and be the only hope of the future. My full time job would be making love to one chick after another. Ah, the perfect world of pandemics.