So, let's start with a game where you pick a number between 0 and 100, can be any real number, and your opponent also picks a number between 0 and 100. Whoever picks the lowest number wins, and the winning amount is the amount of the lower number in dollars. So, let's say, if you pick 10, I pick 20, you win, and you win 10 dollars. If you pick 10 and I pick 5, then I win, and I win 5 dollars. If your opponent wins, then you don't win almost anything, and your KNO is 0. So, now imagine yourself, a human person, you're playing against a robot. That robot picks a number between 0 and 100 uniformly at random. And my question is, what is the strategy here?
