Showing posts with label bot. Show all posts
Showing posts with label bot. Show all posts

Monday, November 3, 2014

Perfect Heads-Up Limit Hold' Em Strategy part 1

STUDYING THE STRATEGIES OF THE FOUR ALL-TIME BEST HULHE PLAYERS, MAN OR MACHINE, TO CREATE YOUR OWN


The best way to find the Perfect Heads-Up Fixed Limit Hold' Em Strategy is to study the strategies used by the great ones.  For me the greats in HULHE are two humans plus two machines.  My two human players are Phil Ivey and Andy Beal.  My two poker bots are Polaris and Texas Hold ‘Em Heads Up Poker.  I will try to enter the brain of those four world-class experts to find and analyze their winning strategies.





Phil Ivey's HUHU FL HE strategy:

Step 1. Raise pre-flop in position

Raise pre-flop in the big blind with (1:1)
Ax, Kx, Q3s, Q6, J8, T7s, T9, 98s, 33+
Step 2. Continuation bet on the flop and turn 100% of the time
Step 3. Leaving after losing one buy-in

Keep playing when winning

Why is Phil Ivey so good?
a) hyper aggressive
b) incredible focus and concentration
c) uncanny ability to detect and exploit opponents's weaknesses and betting patterns
d) zero tilt factor
e) intimidating and fearsome reputation
f) unlimited bankroll





Andy Beal High Stakes Heads-Up Limit Hold' Em strategy
Step 1. Play nearly every hands
Raise (most of the time) every pot he enters
Step 2. Check-call all the way down to the river with any A-high hand
8-bets the turn with two pair
Step 3. Obsession with preventing tells

Why is Andy Beal so good?
a) Obsession
b) Specialization
c) Mathematical approach
d) High stakes
e) Ultra-aggressive
f) Impossible to read




Phil Ivey vs The Brain




In NVGtard fantasy land (12-01-2010) :

"The Brain" heads up poker machine proves to be remarkably resilient, beating the best minds in poker over a large sample. When the limits are raised to 200/400 Hoss tbf flys to vegas and enters the Bellagio and plays it days on end only to break even until he tires and begins to lose. And so the machine sits outside the poker room unplayed and unscathed save a few suckers from time to time. The stakes are raised to any that the tourist wishes to play, from .50/1 to 500000/1000000. A billionaire is reported to have lost 4 million on may 23, 2011 during a break from highstakes craps. One day at the poker table Ivey is asked if he would play heads up nl omaha by a young upcoming susperstar from norway and Ivey responds that he would play anybody. The kid says I bet you wouldn't play the brain smugly. "Who's that?" asks Ivey. The kid points to the machine. Ivey says sure and spends the next 45 minutes inserting a giant wad of hundreds and over the course of the next 28 hours he beats it for 300 million dollars infront of the ever growing massive crowd of spectators. Finally after being down 324 million dollars and 28 hours of poker, The Brain ask Phil Ivey if he would let him play on credit. A fat executive hobbles out of the crowd red faced and screams hell no! and pulls the plug.


That's exactly what could happen if Phil Ivey was met to play Texas Hold' Em Heads Up Poker machine "The Brain".  This funny story was written by spaceman Bryce on the twoplustwo poker forum.
http://forumserver.twoplustwo.com/29/news-views-gossip/heads-up-poker-machines-raise-limits-929205/index2.html



It's nice to see that Phil Ivey's dominance made him a mythological figure just like Chuck Norris. 

Now you can say that Phil Ivey is the Chuck Norris of Poker.


Originally published in: http://www.heads-up-fixed-limit-texas-hold-em-poker.com/2013/10/phil-ivey-vs-brain.html 

Polaris

Polaris is the Deep Blue of poker.


The patience of a monk or the fierce aggression of a tiger, changing gears in a single heartbeat. Polaris can make a pro's head spin. Bluff, trap, check-raise bluff, big lay-down -- name your poison.


Polaris is a Texas hold 'em poker playing program developed by the computer poker research group at the University of Alberta, a project that has been under way for 16 years as of 2007. Polaris is a composite program consisting of a number of bots, including Hyperborean08, the winner of the limit equilibrium series in the 2008 Association for the Advancement of Artificial Intelligence (AAAI) Computer Poker Competition. Polaris also contains a number of other fixed strategies, and chooses between these strategies during a match. Polaris requires little computational power at match time, so it is run on an Apple MacBook Pro laptop during competitions. Polaris plays only heads-up (two player) Limit Texas hold'em.



Limit Hold'em (LH) Heads-up Duplicate poker


On July 23–24, 2007, Polaris played against poker professionals Phil Laak and Ali Eslami at the Hyatt Regency Hotel in Vancouver, B.C.  The competition consisted of four duplicate matches, with 500 hands per match. In each duplicate match, the same cards were dealt to both pairs of players, human and bot, but with the seating reversed.  After roughly 16 hours of play over two days, Polaris tied the first round, won the second and lost the last two.

Final result -- Polaris record: 1-2-1


On July 3–6, 2008, Polaris competed against six human professional poker players in the Second Man-Machine Poker Championship, held in Las Vegas at the 2008 Gaming Life Expo. Polaris defeated the human players with three wins, two losses and one tie. Each of the six sessions was a duplicate match of 500 hands against two different players, resulting in six thousand hands played.

Across all six sessions, Polaris won 195 big blinds. The version of Polaris used in the 2008 match was much stronger than the 2007 version, both in the quality of the component strategies and in its ability to learn which component strategy to use.

Final result -- Polaris record: 3-2-1

Overall Polaris's record vs. humans: 4-4-2


Polaris and Deep Blue

Comparing Polaris results with IBM chess computer Deep Blue versus reigning world chess champion Garry Kasparov in two games under tournament regulations.

Result: Kasparov–Deep Blue (4–2)

Result: Deep Blue–Kasparov (3½–2½)

Overall Deep Blue record versus Kasparov (5½–6½)

Polaris (4-4-2 or 5-5) vs. Deep Blue (5½–6½)

So with that being said. We can see that Polaris had better results versus humans than Deep Blue.




Polaris's Strategies:

Polaris have a total of 5 different strategies
The Nash Equilibrium plus 4 other to use against different types of opponents.  Polaris identifies which common poker strategy a human is using and switches its own strategy to counter.

1- The first approach is to approximate a Nash equilibrium strategy which is robust against any opponent.
2- The second approach is to find an exploitive counter-strategy to an opponent. We will show that these counter-strategies are brittle: they can lose to arbitrary other opponents.

3- The third approach is a compromise of the first two, to find robust counter-strategies.
4- The four approach is to combine several of these agents into a team, and learn during a game which to use.



Why is Polaris so good?

a) Adaptation. Polaris doesn't have a "best way" to play; it has a "best way" to adapt.
b) Specialization
c) No emotion
d) Aggression





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