It doesn’t work on female. Every male know how attractive a girl is without having to rely on what other males think. Females are simple. Pretty, smart, big tits -> attractive.
Males are complex. Some are tall, some are handsome, some are funny, some are smart. Most of men quality is hidden.
The cost of sharing is also different. In ancient time, there is no blood test. Men that share a women will have a hard time deciding which kid to support. So waiting for other men to have her first is costly for men (unless he can knock her up and run).