Quote from tradingjournals:
Walter: I think it is what he meant. You choose two numbers that you put in two envelops for instance, s/he opens one of the two envelops, and s/he decides whether that number is the largest of the two, or the number in the other envelop is the largest. S/he can have a positive expectancy, because s/he will use the information from the opened envelop to decide (more intelligently) on the number in the unopened envelop.
Based on the wording in the original game.
"Choose N1=50 and show that number, flip a coin to decide if N2 is 51 or 49. It should be impossible for them have a chance other than 50% of guessing if N2>N1. Which will lead to positive expectation with the imbalanced payout."
Beats the game. I am assuming there was an error with how it was described if it is actually possible for it to be unbeatable.