6 votes

How precise is math in the heat of battle?

If such a player is approximating a game-theoretic-optimal (GTO) strategy, then they are essentially putting their opponent in a situation where it doesn't matter what they do. In other words, ...
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  • 361
5 votes

How precise is math in the heat of battle?

Judging from what you wrote in the question, I think you are misunderstanding a few concepts here. First, math is math. Math doesn't care if you play poker, running, feeding your dog or doing ...
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4 votes
Accepted

Number of game tree nodes in HU

It sounds like we're looking for game states. Assumptions: The game is Texas Hold 'Em We round bets to multiples of the big blind for calculating state We don't distinguish between raising and re-...
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4 votes

Prospect theory and loss aversion refuted by poker players

Kahnemans theory is slightly more nuanced. You are actually supporting his evidence with your example as he found that people are more risk averse when they are winning and conversely they are more ...
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  • 6,483
4 votes

Computing Nash equilibrium strategy

Your question is very general. Game Theory, which employs Nash equilibrium, is a set of methods to model situations where players are in conflict. If your input is the entire game, the problem ...
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2 votes

Is the heads up NLH no mixing Nash equilibrium strategy known?

The solution is actually known. I can solve it in 2-3 days using a server I rent for that exact purpose (studying poker) and some specialized software. To the answer from Ying Li: You misunderstand ...
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  • 166
2 votes
Accepted

Can a push/fold strategy be optimal (ie EV>=0 against any other strategy) in general

It's not optimal. For NL hold'em, consider when each player has a stack size several thousand times the big blind. If you're limited to push-fold, then here's my strategy: In the big blind, I only ...
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  • 136
2 votes

What would be the main difference to poker if the deck would be extended?

Hand rankings are based on the probability to make a given hand when drawing five cards: the lower the probability, the stronger the hand. When you add more suits to a deck: The value of flush ...
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  • 345
1 vote

Computing Nash equilibrium strategy

Nash Equilibrium is where two players don't have an incentive to change their strategy. A simplified way of looking at how a solver works: If you have player1 and player2. You would start with some ...
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  • 166
1 vote
Accepted

What would be the main difference to poker if the deck would be extended?

I coded some python to generate every hand. As it seems to work okay for a regular deck (13 ranks, 4 suits), I think I can trust the numbers. For comparison, here's what it says for a regular deck (...
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  • 477
1 vote

What would be the main difference to poker if the deck would be extended?

It would have no effect on flushes or straights. Pairs I don't know. Have to work out the math. A short deck is different in that it increases the likelihood of pairs and triplets and straights. ...
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1 vote

What would be the main difference to poker if the deck would be extended?

Some interesting info. As the number of suits increase, boats/quads drop a lot of value. A deck with more than 16 suits would value straights over boats. If you removed a suit to make a 3-suit deck, ...
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  • 1,036
1 vote

Is the Nash equilibrum strategy probabilistic?

In poker, there are never identical situations, because even if you play with the same cards and the same opponent for days, you will end up creating history and dynamics between you. However, you ...
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1 vote

Is the heads up NLH no mixing Nash equilibrium strategy known?

I am probably one of the few people with significant experience in all three fields (mathematics, Machine Learning (and AI), poker). To answer is it known, the answer is probably not yet. There are ...
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  • 684
1 vote

Are there any recommended Tournament Theory Books?

Book recommendations are kind of out of scope. A Sit & Go is a mini tournament. Because of the payout structure a chip you lose is worth more than a chip you win. You need to stay alive. You ...
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  • 6,849

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