By Tom “LearnedfromTV” Chambers

Slides:



Advertisements
Similar presentations
The Ten Basic Quarterback Reads
Advertisements

How do you play weak & strong draws? Strategy: No Limit.
Bet sizing – How much to bet and why? Strategy: SnG / Tournaments.
Odds and Outs – How to play Draws Strategy: SNG / Tournaments.
Advanced strategies for postflop play Strategy: SnG / tournaments.
So you want to be a skip?. The Role of the Skip Represents the team, leads the team Calls the game – Determines strategy for game, end and shot – Enables.
Advanced Strategies for Craps and Poker Billy J. Duke Joel A. Johnson.
After the flop – an opponent raised before the flop Strategy: No-Limit.
After the flop – nobody raised before the flop Strategy: No-Limit.
The Ten Basic Quarterback Reads
Switching from Short Stack to Big Stack Strategy Strategy: No Limit.
Short Stack Strategy – How to play after the flop Strategy: No Limit.
Statistical Issues in Research Planning and Evaluation
What is the Best Position? More Advanced Positioning February, R. Baker1.
Intelligence for Games and Puzzles1 Poker: Opponent Modelling Early AI work on poker used simplified.
Intro to Probability & Games
Using Probabilistic Knowledge And Simulation To Play Poker (Darse Billings …) Presented by Brett Borghetti 7 Jan 2007.
Poki: The Poker Agent Greg Priebe Zak Knudson. Overview Texas Hold’em poker Architecture and Opponent Modeling of Poki Improvements from past Poki Betting.
Introduction to the Big Stack Strategy (BSS) Strategy: No Limit.
Texas Holdem Poker With Q-Learning. First Round (pre-flop) PlayerOpponent.
Overview Odds Pot Odds Outs Probability to Hit an Out
Blackjack: An Analysis of Probability By: John Theobald.
Math 116 Chapter 12.
Brian Duddy.  Two players, X and Y, are playing a card game- goal is to find optimal strategy for X  X has red ace (A), black ace (A), and red two (2)
Brain Teasers. Answer 3 Quantitative Finance Society Gambling Strategies & Statistics.
Introduction for Rotarians
Fundamentals of Data Analysis Lecture 9 Management of data sets and improving the precision of measurement.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 11 Understanding Randomness.
ttest PLO Postflop Theory Video # 2: Betting the Flop
SARTRE: System Overview A Case-Based Agent for Two-Player Texas Hold'em Jonathan Rubin & Ian Watson University of Auckland Game AI Group
Statistics - methodology for collecting, analyzing, interpreting and drawing conclusions from collected data Anastasia Kadina GM presentation 6/15/2015.
Chapter(3) Qualitative Risk Analysis. Risk Model.
Shortstack Strategy: How do you play before the flop? Strategy: No Limit.
Copyright © 2012 Pearson Education. All rights reserved © 2010 Pearson Education Copyright © 2012 Pearson Education. All rights reserved. Chapter.
The challenge of poker NDHU CSIE AI Lab 羅仲耘. 2004/11/04the challenge of poker2 Outline Introduction Texas Hold’em rules Poki’s architecture Betting Strategy.
Testing hypotheses Continuous variables. H H H H H L H L L L L L H H L H L H H L High Murder Low Murder Low Income 31 High Income 24 High Murder Low Murder.
Poker as a Testbed for Machine Intelligence Research By Darse Billings, Dennis Papp, Jonathan Schaeffer, Duane Szafron Presented By:- Debraj Manna Gada.
Issues concerning the interpretation of statistical significance tests.
Neural Network Implementation of Poker AI
Experimental Design Econ 176, Fall Some Terminology Session: A single meeting at which observations are made on a group of subjects. Experiment:
MIT 15.S50 L ECTURE 5 Friday, January 27 th, 2012.
Texas Hold’em Playing Styles Team 4 Matt Darryl Alex.
Short stack strategy: Draws in a free play situation Strategy: No Limit.
All In To put all the rest of your money into the pot.
GamblingGambling What are the odds? Jessica Judd.
Chess Strategies Component Skills Strategies Prototype Josh Waters, Ty Fenn, Tianyu Chen.
Introduction to Poker Originally created by Albert Wu,
Penn Poker Fall Strategy Session Series
The Mathematics of Poker– Implied Pot Odds Strategy: No-Limit.
Uncertainty and confidence Although the sample mean,, is a unique number for any particular sample, if you pick a different sample you will probably get.
CHAPTER 15: Tests of Significance The Basics ESSENTIAL STATISTICS Second Edition David S. Moore, William I. Notz, and Michael A. Fligner Lecture Presentation.
Outline: 1) Odds ratios, continued. 2) Expected value revisited, Harrington’s strategy 3) Pot odds 4) Examples.
Stat 35b: Introduction to Probability with Applications to Poker Outline for the day: 1. Combos, permutations, and A  vs 2  after first ace 2.Conditional.
Stat 35b: Introduction to Probability with Applications to Poker Outline for the day: 1.Expected value. 2.Heads up with AA. 3.Heads up with Gus vs.
The inference and accuracy We learned how to estimate the probability that the percentage of some subjects in the sample would be in a given interval by.
The expected value The value of a variable one would “expect” to get. It is also called the (mathematical) expectation, or the mean.
Winning Poker Strategy Joe Hachem.  You’re always comparing the odds presented by the pot against the odds of making your hand. Simply put: the pot should.
The normal approximation for probability histograms.
The Law of Averages. What does the law of average say? We know that, from the definition of probability, in the long run the frequency of some event will.
Stat 35b: Introduction to Probability with Applications to Poker
Stat 35b: Introduction to Probability with Applications to Poker
ttest PLO Postflop Theory Video # 7: Executing Floats
Strategies for Poker AI player
An Introductory Look at Curling Analytics
GORDONs NB-6-max overview (V. 1.0 DocSnyder)
ttest PLO Postflop Theory
Stat 35b: Introduction to Probability with Applications to Poker
Stat 35b: Introduction to Probability with Applications to Poker
Stat 35b: Introduction to Probability with Applications to Poker
Stat 35b: Introduction to Probability with Applications to Poker
Presentation transcript:

By Tom “LearnedfromTV” Chambers PLO Postflop Theory Video # 1: Introduction By Tom “LearnedfromTV” Chambers ttest 1

ttest Series Contents Video 1: Introduction to Postflop Theory Video 2: Betting the Flop Video 3: Facing Flop Bets Video 4: The Flop-Turn Transition Video 5: Using Holdem Manager Video 6: Turn Texture Video 7: Betting the Turn Video 8: Facing Turn Bets Video 9: The Turn-River Transition Video 10: Introduction to Game Theory Video 11: River Play Out of Position Video 12: River Play In Position ttest 2

The Parameters of a Postflop Situation #1 – Number of Players #2 - Position #3 – Stack to Pot Ratio (SPR) #4 – Initiative and Leverage #5 – Board Texture #6 – Opponent Tendencies #7 – Image These aren’t listed in order of importance, but from most quantifiable to least quantifiable. Generally, it is easiest to define broad classes of postflop situation based on the first three, the first five can be used together to build default strategies for specific common situations, and the final two determine how to adjust default strategies to account for table dynamic. The next seven slides cover basic generalizations about how each parameter provides context to understand hand strengths, ranges, and strategic options. ttest 3

ttest Number of Players 4 - Average VPIP in mid-stakes 6-max online PLO games (2/4-10/20) is roughly 35% Approximately half of all pots that see the flop are heads-up. The majority of the rest are three-way, but there are a non-negligible number of pots with four or more players. In single-raised pots, the balance is weighted more towards multi-way action; a higher percentage of three-bet and four-bet pots are heads-up. - The action in heads-up pots is centered on the middle and upper-middle of ranges. Having nutty hands and hands that are very strong on their best flops is not as important as having hands that hit a lot of flops moderately well. Most of the time, the postflop action will begin with the preflop raiser continuation betting. The action in pots with 4+ players is centered around the very top of ranges. Nuttiness is very important and a lot of profit comes from domination scenarios - having the nuts against the near-nuts and having the good end of 55/45s between strong ranges. Betting as a bluff is almost always a bad idea. Preflop initiative is relatively unimportant; position and overall aggressiveness is a much better indicator of which player is most likely to bet the flop than who raised preflop. - Three-way pots are the intermediate case. The chance that two of three players hit a flop fairly hard is high enough that the chance of dominating someone or being dominated is a major factor, so nuttiness is very valuable. On the other hand, near-nut hands (especially multi-component near-nut hands, like top pair + non-nut flush draw + nut gut-shot) are much more likely to get action from hands they dominate than they would be in a four- or five-way pot. Whether to continuation bet with air or a light semi-bluff is often a very close decision, especially on medium-textured boards like Jc7h4s. So is whether to check to the raiser with a strong hand or lead. ttest 4

Position - When out of position, it is extremely important to build polarized ranges when a pot will have significant money behind for the turn and river. The combination of positional disadvantage and having a range full of non-nut hands is an easy way to bleed money. - When in position, it is much easier to profitably play hands with multiple non-nut pieces of equity. For example, it is almost always profitable to call heads-up in position with JcTh9c6h on Jh5s4c (top pair, gut-shot + backdoor straight draws, two backdoor flush draws), but almost always unprofitable to check-call out of position. In multi-way pots on the flop when in a middle position, it is very important to pay attention to the likelihood of being in or out of position on the turn and river. For example, there is a big difference between being second or third in a four-way pot – the person third to act can bet knowing the one person who could have position on him on later streets has to worry about two possible check-raises; the person second to act has to get through two people who could have position on him on the turn and river. When second to act in a three way pot, which player is looser/which player bet can often sway a close decision one way or the other. - ttest 5

Stack to Pot Ratio (SPR) - The flop SPR is influenced by the number of players to see the flop, whether there were limpers before the first raise, and the effective stack sizes, but the main factor that determines it is the number of preflop raises. The three main cases are single-raised pots, three-bet pots, and four-bet pots - Assuming effective stacks close to 100bb, the SPR in single-raised pots usually ranges from ~9-15. SPR = 13 is the number at which it takes three streets of pot-sized bets to get stacks in. The heavy action in single-raised pots usually centers around the top of ranges (top 10%-20%); i.e. nut and near-nut hands – sets, nut flushes, nut straights, nut combo draws. The main way to win stacks in these pots is with nut versus near-nut domination situations. The main way to lose stacks is to overplay near-nut hands. - Assuming effective stacks close to 100bb, the SPR in three-bet pots usually ranges from ~2-5. SPR = 4 is the number at which it takes two streets of pot-sized bets to get stacks in. The heavy action in three-bet pots usually centers around the middle and upper-middle of ranges (top 30%-40%), with the hierarchy of pair + draw and decent combo draws playing a key role. The main way to win stacks in these pots is to have pair + draw hands that dominate other pair + draw hands and have decent equity against nut hands. For example, AsQsJcTc on Js9h6c. - Assuming effective stacks close to 100bb, the SPR in four-bet pots usually ranges from 0.5-1.5. SPR = 1 is (obviously) the number at which it takes one streets of pot-sized bets to get stacks in, and these pots will very rarely play out over multiple streets. The heavy action in four-bet pots usually centers around the lower-middle and middle of ranges (top 50%-60%). Generally, flopping anything (a pair, an open-ender with backdoors) is enough to call or shove. With SPR closer to 2 there is a little more maneuverability and required hand strengths adjust (bare AA** is much different with SPR = 2 than SPR = 1.5), but for the most part the money made in four-bet pots is made with the preflop decisions to four-bet or call a 4-bet. ttest 6

Initiative and Leverage - Initiative is simply a statement of who was the last aggressor on the previous street. We want to evaluate how initiative impacts the action on the current street. - Leverage is a reflection of how the current street action (particularly who the aggressor is) impacts the anticipated action on future streets, particularly in cases where one player has the opportunity to use his range to make a relatively small bet backed by a much larger implied threat of future bets. - Preflop initiative does not generally have as much impact on postflop action in PLO as it does in NLHE. The cases where it is most relevant who raised preflop are heads-up pots, where the action will usually begin with the preflop caller deferring to the preflop raiser to make the first bet. In three-way pots, the raiser is substantially more likely to be first bettor, but the other two players will often have a close decision between leading and checking with a good hand, and leading is not rare in the way it is in heads-up pots. In 4+-way pots, the preflop initiative is largely irrelevant as a reason to bet, although it may be beneficial in that people are a bit more likely to check their big hands when they weren’t the raiser, which gives us a chance to check behind with hands that want to see a turn, like JcTs8h7c on 9c5s4s. - On polarized, static-equity boards (where the nuts is a full house, flush, or invulnerable straight like JT** on AcKdQh6s), the leverage advantage lies with the person with a nuttier range. The fewer possible texture shifts, the scarier the threat of future street of betting that is implied by a flop or turn bet. Often the most heavily leveraged bets are well-sized turn bets on flush and paired boards. - On smooth, dynamic-equity boards (where the nuts is a straight or set and there are multiple possible draws), the leverage advantage lies with the person who has more balanced coverage of the many future street contingencies. ttest 7

Board Texture - Two-Axis System for categorizing the texture of unpaired flops. One, a spectrum from dry to wet, reflecting how draw-heavy a board is. Two, a spectrum from heavy to light, reflecting how hard people’s ranges hit the top of the possible hands on a given texture. Straight free Board Examples: Dry/Heavy – AK9r, AJ5r Dry/Light – J62r, T52r Wet/Heavy – KQ7s, JT6s Wet/Light – 963s, 752s Straight Board Examples: Dry/Heavy – KQJr, 987r Dry/Light – 542r, 632r Wet/Heavy – QJ8s, KJ9s Wet/Light – 864s, 652s Generally, the straight boards are heavier (and more polarizing when dry) than the straight-free boards. This is because the nuts is much more likely when it is an unpaired two card combination (7.2% chance a random hand has JT** on 987) than when it is a pocket pair (1.5% chance a random hand has QQ** on QT2) ttest 8

Board Texture, continued - On dry/heavy boards like AK9r nothing has good equity against {AK+}, the four hands in {AK+} all have dominating relationships among each other, and the board texture is relatively unlikely to change on the turn and river. The play dynamic usually falls into one of two categories – a) shutdown/showdown mode where typical players try to play for one or two streets with their marginal hands; b) an aggressive leveraged polarized-range game, where strong players use the fact that everything worse than {AK+} can’t play for stacks without risking getting it in really bad to apply pressure with bluff raises and second and third barrels On wet/heavy boards like JT6s, a ton of hands have good equity against the current nuts, and the top slice of hands of different types (sets, combo draws, pair + draw) all have good hand versus range equity against each other. It is important to build ranges for multiple contingencies and to be cautious with dominated draws and bare made hands. These boards are very good for semi-bluffing and it is relatively easy to adjust to an opponent who is too passive, too aggressive, or unbalanced on them. There are three main differences between dry/light boards like J62r and dry/heavy boards. One, the one pair hierarchy is much more relevant because sets are a smaller part of people’s range. Two, overpairs are a major part of that hierarchy. Three, none of the one pair/two pair hands are invulnerable, unlike top two on AK9r. This all means that even without any draws, equities run closer together nearer to the top of ranges. Nothing has good equity against JJ **, but the overall infrequency of sets means that the equity relationships among hands like {AA54, KQJT, KKJ2, AJ98, 6543} are important. - The main difference between wet/light boards (like 863s and 753s) and wet/heavy boards is that the wet/light boards allow for semi-bluffing wider; that is, semi-bluffing with hands that are (in absolute terms) weaker than the hands good to enough to semi-bluff on a board like QJ7s. ttest 9

ttest Opponent Tendencies 10 - Generalizations about opponent tendencies fall into two basic categories. One, there are a handful of action frequencies for which we can have a large sample size and that converge rather quickly. These include the key preflop and flop stats, such as vpip, pfr, 3-bet%, steal %, SB/BB fold to steal %s, continuation bet %, and fold/call/raise continuation bet %s. Two, there are many tendencies, primarily later street tendencies, that are much more difficult to quantify for several reasons, including sample size and differences in the action sequences and board texture development that lead to a certain decision point. To properly interpret the statistics that converge quickly, it is still necessary to identify a few ways that the other parameters cause an opponent’s strategy to vary in different conditions. Preflop vpip/pfr/3b% need to be placed in the context of his positional awareness, either by looking at position-by-position data or by observing the types of hands he shows down from different positions. One 25/15/5 opponent may range from 15/15/0 UTG to 45/25/15 from the button, while another has a much narrower difference. Similarly, flop statistics represent an averaging over a range of board textures, numbers of opponents, and SPRs. - Most of the useful turn and river data (aggression frequencies, showdown frequencies) is more about determining the general shape of opponent strategies than the specific tendencies they have in individual situations. We can’t practically look at something like “turn check-raise frequency after c-betting a three-way flop on a medium-wet board where the turn completes a flush draw,” both for sample size reasons and because there are so many possible scenarios. ttest 10

Opponent Tendencies, continued - Another approach to analyzing opponent tendencies in these low sample-size situations is to look for events that can be extrapolated to indicate an aspect of his thought process that has a major impact on his overall range. It particularly makes sense to look for events that are unusual, either in comparison to the standard line you would take or the standard line you would expect from an opponent with his general profile (preflop + flop statistics, overall aggression, etc). For example, if someone shows down JJ74 and T885 after calling 3-bets, it is likelier that he will fold to flop continuation bets in 3-bet pots. Another example: over a session you observe that someone checks behind the turn (with SPR ~4 on a wet board) once with top two pair and a couple times with a strong combo hand (a draw with showdown value on blanks) that he could profitably double-barrel. Such an opponent’s betting range has more air than the average opponent with the same turn aggression stats and can be check-raised lighter. ttest 11

Image - Image of the fuzziest of the seven parameters, because it involves interpreting the meaning of a wide range of actions and tendencies with the handicap of two degrees of imperfect information. One, our opponent’s are trying to determine our overall strategy from isolated examples. Two, we have imperfect information about how they do this – which things they look for, which things they notice. - The first step toward understanding our image is to ignore the second difficulty and assess our own strategy as our opponents should if they had perfect information - The second step is to use what we know about their tendencies to analyze their thought process, which in turn allows us to estimate what parts of our strategy they will notice and how they interpret them. - The third step is to use steps one and two to make our opponents think what we want them to think. ttest 12