-Game of Fractals-
"Four different winners at $1/2"
"The drunk guy"
Poker strategy is abstract and oftentimes very complex. To know which strategies are dominant compared to others, and vice versa, would be a challenging task for anyone but a top professional if assuming everyone is trying their best to win. Furthermore, It would take a long time, or a database of past information, to figure out which way of playing is superior. However, if the top professional happens to be an A.I. program, it could quantify each strategy based on perhaps a single spreadsheet of information pertaining to each player's strategy. As a human myself, I cannot visualize what this spreadsheet looks like, but I have intuition that it is comparable to fractals and geometry.
If no-limit hold'em can be solved -- that is to say there is a singular perfect strategy that would be favorable in any game -- it might resemble the picture in Ex-A. Compared to the other pictures, it is more harmonious. If you zoom in you start to notice repeating patterns, and it appears to be an infinite series. If some being were to play perfect poker, its "spreadsheet" might be a photo copy of Ex-A.
Ex-B is what my own potential to play perfect poker looks like. Notice that it is beautiful in its own right, despite being a little more chaotic and stylistic than Ex-A. This is because no human could ever play perfect poker. Perfect poker requires using perfect frequencies. Say you have a certain holding, and the perfect play is to bet $100 29.4% of the time. It is literally impossible to do this. However, getting closer to perfect play is still worthy of pursuing if being reasonable with oneself. Sitting around trying to make Ex-B look more like Ex-A might not be a great use of time though, and could be unnecessarily expensive.
Ex-C shows fundamentally strong, winning strategies for the smallest stakes. Notice how simple they are, and how much more geometrically sound they are compared to Ex-D.
The lesson is that when sitting down to carve out a strategy, it's critically important to not try and draw an immaculate fractal -- unless you have the tools to do so. Otherwise it will become an ugly mess, and you could miss out on making easy money.
Last edited by Tuma; 02-07-2017 at 03:35 PM.