The Mathematics of Poker

[morgan180]

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What mathematical aspects of poker are covered?

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The book is divided into 5 parts:

I) Basics
Covers basic probability and statistical concepts, as well as Bayes' theorem, inference from observed data.

II) Exploitive play
Covers odds, reading hands, reading strategies, a little bit about data mining, playing accurately in cards exposed situations, hand vs distribution situations, and distribution vs distribution situations.

III) Optimal play
Introduces game theory, concept of the nemesis, and then solves many different poker-like toy games. Concepts touched on by these toy games are:

--Jam-or-fold (contains solution to HU JoF NL holdem)
--betting and bluffing ratios
--card removal (AKQ game)
--NL bet sizing
--all manner of [0,1] games
--multi-street games without draws - bet sizing across multiple streets
--multi-street games with open and closed draws - also exposed hand vs known distribution play on turn and river.

IV) Risk
Covers risk of ruin calculations, also risk of ruin based on a sample (includes the uncertainty of the win rate). Covers Kelly utility, game selection (CE choice of limits), portfolio theory, and backing agreements.

V) Other Topics
Covers tournaments, both necessary adjustments (based on the theory of doubling up) and also statistical inference based on tournament payout structures and results.
Covers multiplayer games, collusive alliances, and so on.

--jerrod

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nice, and represent Avon, CT. my hometown.