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Luck, Logic, and White Lies The Mathematics of Games, Second Edition

An exploration of the mathematics behind games, classifying them into games of chance, combinatorial games, and strategic games, and providing tools from probability theory, combinatorics, and game theory to analyze and optimize play.

A profile of this book is on the way.

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What it’s about

Luck, Logic, and White Lies delves into the fascinating world of games, revealing the mathematical principles that govern everything from a roll of the dice to a strategic bluff in poker. Author Jörg Bewersdorff classifies games into three fundamental types—games of chance, combinatorial games, and strategic games—and unpacks the core mechanisms of uncertainty that make them compelling: randomness, combinatorial complexity, and imperfect information. Through accessible explanations and historical anecdotes, the book equips readers with tools from probability theory, combinatorics, and game theory to analyze odds, identify optimal moves, and understand the limits of skill and luck. Whether you're a casual player looking to improve your game or simply curious about the mathematics of decision-making, this book offers a scholarly yet entertaining journey into the logic behind the games we play.

The through-line

Who it’s for
An intelligent and curious individual who enjoys playing games, from casual parlor games to more serious strategic contests like chess or poker, and wants to move beyond simple intuition and luck to understand the underlying logic of games and improve their chances of winning.
The problem
The reader consistently loses games, or wins inconsistently, without understanding why. They struggle to evaluate odds, choose the best moves, or know when to take risks. This makes them feel frustrated, confused, and intellectually outmatched. They may feel like success in games is just a matter of 'getting lucky' or having an innate talent they lack.
The plan
  1. Master the fundamentals of chance by learning probability theory to analyze dice, cards, and lotteries (Part I).
  2. Learn to navigate combinatorial complexity by exploring the logic of games like Nim and Chess (Part II).
  3. Understand strategic decision-making under uncertainty by studying game theory and its application to games like Poker (Part III).
  4. Synthesize these concepts to systematically evaluate the balance of skill and luck in any game (Part IV).
The payoff
The reader will gain a profound understanding of why games work the way they do. · They will be able to analyze new games, make more informed decisions, play more strategically, and ultimately improve their winning record. · They will transform from a player relying on luck to one who commands logic.

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Additional reading