Thursday, January 7, 2016

Optimal Heads-Up (Preflop) Limit Hold' Em


The Game has changed. As said in The Evolution of Poker: from Super System to math PhD reading Doyle Brunson's SUPER SYSTEM is not enough anymore to give you an edge.  The 2003 Chris Moneymaker's Effect changed all that. Now the common man has the opportunity to play thousands of hands and read all kind of poker books about game theory and exploitative plays. Todays fishes are way more skilled than their counterparts of 20 years ago.

Let me give the highlights of the Optimal Game Theory as ellaborated by highly lucrative online poker pros and some math wizards. These below were particularly devised for Heads-Up Fixed Limit Hold' Em Poker (HUHU / HULHE). HULHE is the simplest form of poker from a programming and mathematical standpoint. Just like chess computer Deep Blue defeated undisputed world chess champion Garry Kasparov. The best bots like Polaris and casino slot machine named "Texas Hold'em Heads Up Poker" AKA "The Brain" routinely beat world-class pro poker players. To this point, HULHE is similar to chess. While it is possible for Artificial Intelligence to play near optimal strategy to beat the best players. Both chess and Heads-Up Limit Hold' Em aren't solved games. 



Exploitative Players were information seekers to keep an edge over their opponents. They are the old guard.
Game Theory Optimal (GTO, optimal) players the highest limits of online plays. They don't much care what their opponent does. They seek to play a strategy designed in the long run to beat any other strategy in the long run.

An optimal player seeks to find the optimal strategy. For any game, there exists at least one optimal strategy. Any GTO poker pro dedicates his time and effort to get as close as possible to the Optimal Strategy. 

However you need to prioritize the practical over the theoretical at all times.

http://www.highstakesdb.com/community/topic/29580-sauce-on-gto/




Game Theoretical Optimum strategy






Button (Small Blind)
rarely fold in the SB (10/169)
23o-28o and 34o-38o

SB never fold to a raise
SB never raise his worst hands


Big Blind (Out Of Position)
NEVER fold in the BB

BB has the edge (act second and is live)
BB never fold to a raise
BB never re-raise with worst hands



Button & BB
R3 - Raise, reraise and re-re-raise if raised back only with AA


Playing different hands in the same way
However, Optimal Strategy dictates to vary strategy randomly in order to be deceptive.







The Two Rules

If Villain bet or raise, you should CALL (usually)

If you bet one street and Villain calls, you should BET again on the next card. (usually)


http://www.amazon.com/Pokers-1%25-Secret-Keeps-Players/dp/1496159187/ref=as_sl_pc_tf_til?tag=strenfight-20&linkCode=w00&linkId=QLUJOVHU7GARZLX7&creativeASIN=1496159187



Some of the people who applied professional level mathematics to real world poker. 

Nick Christenson
Alex Selby 
Ben "Sauce123" Sulsky
Matthew Janda
Dr. Darse Billings
Bill Chen
Jerrod Ankenman
Chris Fergusson








http://www.lvrevealed.com/articles/research/selby.html
http://www.archduke.org/simplex/index.html
http://www.archduke.org/simplex/art
http://www.highstakesdb.com/community/topic/29580-sauce-on-gto/

http://forumserver.twoplustwo.com/109/heads-up-limit/optimal-preflop-play-737220/
https://www.google.ca/webhp?sourceid=chrome-instant&rlz=1C1NCHB_enCA593CA593&ion=1&espv=2&ie=UTF-8#safe=off&q=optimal%20heads%20up%20preflop%20holdem

http://www.pokerlistings.com/poker-bots-overrated-says-dr-darse-billings-29734
http://www.pokerlistings.com/strategy/psychology/poker-bots-the-beginning-of-the-end-um-no
http://www.pokerlistings.com/strategy/psychology/bot-this-too-robots-dont-have-girlfriends

http://billchenpoker.com/

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