Normally Nash's game theory would be looked at with multiple perspectives and the choice would be given to what gives each player the best possible outcome. So that way, people would always choose friends. That's how they got the girls in the movie (a beautiful mind, a movie about Nash and his troubles/mental illness as a mathematician). Each guy did the best the he could to help out the whole group, rather than all go for the one hot girl and all loose out. Thats the whole prupose of it, looking at getting the best for all players concerned. Well i think?
However, most people would look at it from a singular view point (cause you can't really collaborate with the other person) so i guess it'd be foe then.