Invitation to the Game

When I was in junior high and high school, my favorite subgenre was the group of books where the story takes place after the Apocalypse, after Earth has self-destructed and people are beginning to rebuild. This story would fall into that category. Lisse has just graduated from school and is hoping to be placed in one of the few jobs available in the world, but this does not happen. Instead, she is sent to live with a group of other unemployed young people in an old building in the dying inner city. Then the group receives an invitation to the Game and everything changes.