Peggers Game

Every year at school we organize a game called Peggers.
Students pay $2 to sign up and the game can last anywhere from 2 days to 2 months! This is how it is played:
All students that sign up are given a clothes pin/peg with another players name on it. The object of the game is to "peg" the other person, without them seeing you and without being pegged yourself. If you are pegged, you are out. And when you peg someone, you get his or her peg and now have to get that person. You are not allowed to peg during class and the game lasts during school hours. It is really fun because you can see students lined up against the walls in the hallways trying to see everyone else to make sure nobody pegs them. Last year the game lasted about 3 1/2 months and we raised about 1000 dollars. The problem is organizing the game to make sure nobody will end up with there own peg but if you get it right its a huge success. The winner is the last person pegged and they win half the amount raised!