I would develop a base JS script for a classic game like tic-tac-toe or other, and you should develop the AI of the game on top of the "framework". The best AI would receive something for free (being a virtual hand-shake or something more
Who would be interested? If we have only one candidate it doesn't make sense to make a contest, but could still be interesting. So don't be shy even if your entry / proposal is not top notch it may still help you to learn something or impress others and actually lead to a better AI code at the end.