Mathematics of Poker 1st edition by Bill Chen, Jerrod Ankenman 1886070253‎ 978-1886070257

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ISBN-10 ‏ : ‎ 1886070253

ISBN-13 ‏ : ‎ 978-1886070257

Author:  Bill Chen, Jerrod Ankenman

In the late 1970s and early 1980s, the bond an option markets were dominated by traders who had learned their craft by experience. They believed that there experience and intuition for trading were a renewable edge; this is, that they could make money just as they always had by continuing to trade as they always had. By the mid-1990s, a revolution in trading had occurred; the old school grizzled traders had been replaced by a new breed of quantitative analysts, applying mathematics to the “art” of trading and making of it a science.
Similarly in poker, for decades, the highest level of pokers have been dominated by players who have learned the game by playing it, “road gamblers” who have cultivated intuition for the game and are adept at reading other players’ hands from betting patterns and physical tells. Over the last five to ten years, a whole new breed has risen to prominence within the poker community. Applying the tools of computer science and mathematics to poker and sharing the information across the Internet, these players have challenged many of the assumptions that underlie traditional approaches to the game.

Mathematics of Poker 1st Table of contents

Part I: Basics
Chapter 1 Decisions Under Risk: Probability and Expectation……………………… 15
Chapter 2 Predicting the Future: Variance and Sample Outcomes………………….. 24
Chapter 3 Using All the Information: Estimating Parameters and Bayes’ Theorem… 34

Part II: Exploitive Play
Chapter 4 Playing the Odds: Pot Odds and Implied Odds…………………………… 47
Chapter 5 Scientific Tarot: Reading Hands and Strategies…………………………… 59
Chapter 6 The Tells are in the Data: Topics in Online Poker……………………….. 70
Chapter 7 Playing Accurately, Part I: Cards Exposed Situations……………………. 74
Chapter 8 Playing Accurately, Part II: Hand vs. Distribution……………………….. 85
Chapter 9 Adaptive Play: Distribution vs. Distribution……………………………… 94

Part III: Optimal Play
Chapter 10 Facing The Nemesis: Game Theory………………………………………. 100
Chapter 11 One Side of the Street: Half-Street Games……………………………….. 110
Chapter 12 Headsup With High Blinds: The Jam-or-Fold Game……………………… 121
Chapter 13 Poker Made Simple: The AKQ Game…………………………………….. 138
Chapter 14 You Don’t Have To Guess: No-Limit Bet Sizing…………………………. 146
Chapter 15 Player X Strikes Back: Full-Street Games………………………………… 155
 Appendix to Chapter 15 The No-Limit AKQ Game……………………………… 167
Chapter 16 Small Bets, Big Pots: No-Fold [0,1] Games……………………………… 174
 

Appendix to Chapter 16 Solving the Difference Equations………………………. 191
Chapter 17 Mixing in Bluffs: Finite Pot [0,1] Games………………………………… 194
Chapter 18 Lessons and Values: The [0,1]Game Redux………………………………. 212
Chapter 19 The Road to Poker: Static Multi-Street Games……………………………. 228
Chapter 20 Drawing Out: Non-Static Multi-Street Games…………………………….. 243
Chapter 21 A Case Study: Using Game Theory……………………………………….. 259 

Part IV: Risk
Chapter 22 Staying in Action: Risk of Ruin…………………………………………… 274
Chapter 23 Adding Uncertainty: Risk of Ruin with Uncertain Win Rates……………. 288
Chapter 24 Growing Bankrolls: The Kelly Criterion and Rational Game Selection….. 297
Chapter 25 Poker Finance: Portfolio Theory and Backing Agreements………………. 303

Part V: Other topics
Chapter 26 Doubling Up: Tournaments, Part I………………………………………… 312
Chapter 27 Chips Aren’t Cash: Tournaments, Part II………………………………….. 324
Chapter 28 Poker’s Still Poker: Tournaments, Part III………………………………… 338
Chapter 29 Three’s a Crowd: Multiplayer Games……………………………………… 349
Chapter 30 Putting It All Together: Using Math to Improve Play……………………. 359 

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