If your criteria for selecting a mate is based on having low empathy, low agreeableness, and a preference for prevailing and competing... guess what will happen when you suggest a person with these personality traits to help with house chores, help with taking care of children, etc.
What will happen is exactly what is expected to happen based on those personality traits: you will be playing "chicken" all the time with a person that always chooses to compete and you will always lose. "If you want those tasks done, do them yourself".
If only there was a solution for that :)
Hint: Don't get romantically involved with jerks