>just play emperor first every time bro then you'll always win 80% of the time

The problem with a strategy like that is that if your opponent also knows 1st grade fractions like you, they'll also recognize that your statistically best play is emperor first, and always go slave first, meaning emperor player would always lose, so you can't optimize this game with pure probability.

So the emperor player must think a step ahead, and base their play on what their opponent knows that they know. But the slave player might also be thinking two steps ahead, in which case the emperor player must think three steps ahead, and this quickly becomes an endless loop where you can basically "But if he knows that I know that he knows that I know that he knows that I know..." forever, so trying to win with speculative psychology is also pretty much a bust.

Your actual best bet of influencing the outcome with skill is most likely going for reads. Trying to learn and recognize things the other players subconsciously does, like for example perhaps he always swallows nervously before playing his special card, and adjusting your plays accordingly. But this is also a whole lot of guess work.

But in the end, no matter what you try to do, the single biggest factor behind this game will be plain old dumb luck. Just random ass guessing and hoping for the best, which will always be weighed in the emperor players favor.

~~Or you could just cheat like everyone in the show does.~~

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