This is a game of patience. There is $1 in the pot. You can take the $1 and leave the game immediately.

If you wait for 15 minutes, the pot will grow to $2.
If you wait for 1 hour (counting from the start of the game), the pot will grow to $6.
If you wait for 10 hours, the pot will grow to $64.
If you wait for 24 hours, the pot will grow to $160.
If you wait for 2 days, the pot will grow to $340.
If you wait for 5 days, the pot will grow to $900.
If you wait for 14 days, the pot will grow to $2600.
If you wait for 30 days, the pot will grow to $5400.
If you wait for 365 days, the pot will grow to $66,000.
If you wait for 5 years, the pot will grow to $340,000.
If you wait for 20 years, the pot will grow to $1,400,000.
If you wait for 50 years, the pot will grow to $3,600,000.

You do not have to do anything for the pot to grow; just have patience and live your normal life. You can stop the game any time and leave with all the money in the pot. When will you leave?


EDIT: Lets say you choose to stop the game at 30 days. What if the pot will grow to $5585 on the 31st day, or if the pot will grow to $5790 on the 32nd day, or if the pot will grow to $6000 on the 33rd day, etc? Why might your decision change?