The $100 Dollar Game

1. Each player starts the game with $0, the bank starts with $100.

2. After a period of negotiation each player writes down a number (secretly) between 1 and 1000.

3. The winner is the player with the highest unique number (N).

4. The payout is $ (100 / the winning player's number).

As you can see winning with a large number (1000) will only gain you 10 cents; ideally you wish to win with the number 1; but this requires a certain amount of negotiation. I only know of one game where the bank has had to pay out the full $100, and very few where the bank has paid out more than $5.