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Originally Posted by Gospy
This is pretty bad.
If we assume all players play optimally, then everyone breaks even minus the rake.
That's not what you meant to say.
Wtf are you talking about. That's what playing optimally means, assuming everyone is playing optimally with equal stack sizes. The whole point is that because one player has a shallower stack, the 6 players cannot all break even minus the rake -- 1 player will have a different winrate than the other 5.
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That being said, at no point in your post do you make any reference to mathematics or game theory, which I would thoroughly enjoy reading as I do have a background in mathematics.
I didn't intend my post to be deep detailed game theory about what happens when a 20bb stack plays with five 100bb stacks. I intended it to be a plain English explanation so that people could get the general idea. How is optimal play not a reference to game theory? I mentioned that you need to have a basic understanding of game theory because if you have no idea what optimal play is (judging from your statement above, you don't seem to), then my post may not make sense.
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Furthermore, what the issue is here (if I follow correctly) is that 100 bb players like to iso raise loosely against fish type players and short stacks knowing this information take advantage by shoving over these ranges. A player that is full stacked could adjust to a shortstacker but at the expense of lowering his/her edge against full stacked bad players.
It has nothing to do with an inherent mathematical advantage. Short stack players are not more likely to win. Their style of play however, may, cut into profits of full stackers in such a way that if the shortstacks did not exist, these full stacked regs would have higher winrates.
This is directly related to what I am talking about. In this case, the optimal play for the fullstacking reg is to exploit the fish. However, if he plays optimally he loses money to the shortstacker. This is directly related to the stack sizes and not to any skill advantage. So how is this not a mathematical advantage?
You phrase it in a shortstack-friendly way (i.e., "Their style of play... may cut into profits of the full stackers"), but it is exactly the same thing. Yes, the fullstacker
can ignore the fish and play optimally against the shortstacker -- just like a fullstacker in my example could do the same thing. In both cases they lose EV -- in your example the reg happens to keep winning because his play, though not optimal, continues to exploit the fish; while in my example the reg would lose more money because his play would be exploited by the other fullstacking regs.
Whether you like it or not, this is game theory.