3 ms·
For the uninitiated like me it's confusing at first the following sentence when deriving the Nash equilibrum: "If first player has a K, because of 1. and 2., h
by plafl 6y ago
For the uninitiated like me it's confusing at first the following sentence when deriving the Nash equilibrum:
"If first player has a K, because of 1. and 2., he would only lose if he bets. So first player should pass if he has a K."
It actually means that the first player always loses on average if he bets (expected utility -1/2 if not mistaken). If he folds however the expected utility is clearly zero since half of the time wins and half of the time loses.
I have not reached yet the description of the algorithm.
I actually find somewhat paradoxical that the first player should fold with a K and bluff with a Q! I remember that I loved little results like this when years ago I first followed the game theory course in Coursera. It was a little dry but I completed it nevertheless since I found it quite fascinating. I do wonder what possible applications are for my working field, machine learning, to apply these kind of algorithms. I would love to have an excuse to devote some time to it.
- ThrustVectoring 6y ago> I actually find somewhat paradoxical that the first player should fold with a K and bluff with a Q! Bluffing is a strategy that wins against the middling hands you can convince to fold, and loses against the strongest hands which just call you anyways. The game is special in that when you have a middling hand, your opponent never has one, so they always either correctly call with the best hand or correctly fold with the worst.
- deleted 6y ago[deleted]
- s1t5 6y ago> It actually means that the first player always loses on average if he bets (expected utility -1/2 if not mistaken). If he folds however the expected utility is clearly zero since half of the time wins and half of the time loses. "If he folds however" - this should be "if he checks". It doesn't make sense for him to fold when he isn't facing a bet. The original article uses "pass" to mean both fold and check depending on the context and that can get really confusing.