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Originally Posted by punter11235
There was discussion about it before. I think the current option is better. The problem with:
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Please add another all-in threshold option for % of CURRENT stack.
I think it's just not something real players use (even if they think they do). For example if you have already 900$ invested out of initial 975$ and now they bet 35$ (less than 50% of the current stack) they are very unlikley to fold for the last 40$.
On the other hand if you bet 500$ out of your 975$ and got raised all in (let's say the starting pot was 500$ here) you may consider folding now.
The "% of the initial stack" expresses exactly how people react: if the percentage is big the pot is already very big and there is little money behind (so that little money is likely to be added to the last made bet).
Your criticisms of the proposed method are correct, but the current "all in threshold" method doesn't truly reflect how people reason about bet sizes.
For example, the current all in threshold method means that the inclusion of a bet size depends on how the street was reached. In other words, rebuilding a tree starting from the river can actually result with more bet sizes being available even though the same bet sizes were used because 0 chips have been invested if you start from the river.
The problem gets worse when you start to think that poker isn't always a 2 player game, so the current method implies that a player would think differently if the node was reached with 5 players investing lots in the previous streets (then folding down to 2 players) vs if it was reached with only 2, even with the same ranges for both players.
There is an alternate method which is better than both the current and proposed method. A method that stops tiny bets (like your example) and that also doesn't have the problem of a the inclusion of a bet size depending on how much the player invested in previous streets.
I call it the Minimum Stack to Pot Ratio. It works as follows. If an opponent's call of the given bet or raise would leave the effective stack sizes less than a given fraction, then the bet or raise becomes an all in.
For example, suppose we input fraction of 0.2. This means we can never have less than 20% of the pot as effective stacks.
So if the pot starts as 100 on the flop and effective stacks are 200, and a size of 80% pot is input into the tree as a cbet size, this would become an all in. This is because (100+80+80) = 260 would be the pot after a call and 40 would be the remaining stacks. And since 40 is less than 260*0.2, it would therefore become an all in instead of an 80% bet being available on the flop.
I think this better reflects the way players reason about bet sizes, I do believe most players think "how many chips will I have left after I make this bet" rather than "how many chips have I already invested into the pot, and what fraction of my stack would have been invested after I make this bet".