You and an opponent are each given a number between 0 and 1 uniformly, and the higher number wins 1 point from the other. Having seen your number and not your opponents, you can choose offer double the odds or just continue to see their number. If you offer double, the opponent can, having seen their number either reject the offer (losing 1) or play double, potentially losing or winning 2 based on the numbers. How should you play?