I have been working on mathematical paradoxes.
I am looking for paradoxical situations in Poker for a deep study. I found things, like Morton's Theorem, Implicit Collusion or "all in" strategy, could you help me to find more?
Not sure if this is really a paradox, but...
In a heads-up game your opponent truthfully confides in you that he is playing a 100% range.
So you think to yourself, "Great, from now on I will play a 70% range and I will be profitable because I’m ahead of his range."
You are dealt a new hand and see that it is at the bottom of your range, but you no-longer want to play the hand because it is behind most of your opponents range.
Ace high straight is highest but it is actually easier to make because there are no blockers above.
To me this is a Best hand versus AA as every way I look at it it seems like 67s should be better.