Due to Fisher’s Principle, we know that there’s roughly as many women as men. So why don’t you go and take a population of 5 men and 5 women, and show how they can be partnered up in such a way that each woman is on average connected to more men than vice versa. You’ll quickly find it impossible, and that’s because it is mathematically impossible.
Uh no. It’s not 1-1, it’s 1-to-many.
Due to Fisher’s Principle, we know that there’s roughly as many women as men. So why don’t you go and take a population of 5 men and 5 women, and show how they can be partnered up in such a way that each woman is on average connected to more men than vice versa. You’ll quickly find it impossible, and that’s because it is mathematically impossible.