Inspired by PuyaSharif's conundrum, I find myself continually faced with the opposite problem, which is identical to the original except in the bold-faced sentences:
You are given the following information:
Your task is to hide a coin in your house (or any familiar finite environment).
After you've hidden the coin your memory will be erased and restored to a state just before you receiving this information.
Then you will be told about the task (i.e that you have hidden a coin), and asked to try to find the coin.
If you find it you win. The faster you find it, the better you win.
Where do you leave the coin so that when you have no memory of where you put it, you can lay your hands on it at once?
For just one coin, you might think up some suitable Schelling point, but now multiply the task a thousandfold, for all of your possessions. (I am not a minimalist; of books alone I have 3500.) How do you arrange all your stuff, all your life, in such a way that everything is exactly where you would first think of looking for it?
Task is ludicrous for to "hide" the item in the place where it can be found the quickest is contrary to the ideal of hiding.
So if the person does their best to hide the coin keeping in the spirit of the game, then they'll decrease their likelihood of winning the game, or of having a better win.
Whereas if the person doesn't do their best to hide the coin, i.e. playing outside the spirit of the game, then they'll increase their likelihood of winning the game, which encourages the person to not actually hide the coin in the first place.
Consequently the game itself is flawed, as it's a game that encourages one to cheat.