Far in the distant future humans traveled hundreds of light years to an ideal planet. Once there they all seem to become addicted to virtual sex where each person can experience all of it just how they want it and with whoever they want. They can even use famous although deceased celebrities of the past. This new technology dampens the need for real sex and the population is rapidly dwindling.
Once the government steps in they pick the most attractive and intelligent to breed. These treasured folk soon find themselves waking up in a room with other men and woman like themselves. The government report on each of the prisoners is distributed to each and based on their personality and sexual proclivities learned through monitoring the virtual encounters they had they are each told to take a mate. When more than one vies for the same person a fight to submission or death is ordered with the winner getting his/her prize. The opening scene would be a hunting trip where each person tries to stay alive while eliminating either those they don't want, those who are in competition with them, and those who attack them first. All is televised and gambling on the winner is a popular hobby.
Perhaps one of the men finds out who is the heavy underdog offering the best odds. Does he save her under the assumption that he wants her or is she aware of his greed. This game can go many ways so please let me know if you have variations of this idea. Thanks.