The official site of author CM Sharp

Rationality's Edge

if (logic == perfect) … then why did 1,000 PhDs get a game-show puzzle wrong, why do auctions sell a dollar bill for $20, and why was the prisoner still surprised? Thirty-five puzzles that reveal where logic ends — and human nature begins.

35 PUZZLES · 3 PARTS · GAME THEORY / PROBABILITY / KNOWLEDGE

Cover of Rationality's Edge by CM Sharp — a chess king on a circuit-board chessboard, split by lightning from a watercolor hand

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Dominant strategies. Backward induction. Bayes' theorem. The clean geometry of what a perfectly logical agent should do.

…and the hand that moves the piece

Fairness, ego, fear, hope, sunk costs and surprise — the forces that make real people defy the equations, sometimes wisely.

inside the book

Three expeditions to the edge

Each puzzle is presented with its history, the trap it sets for your intuition, the resolution (where one exists), and the boardrooms, battlefields and ballot boxes where it plays out today.

PART I

Classic Puzzles of Game Theory & Probability

From RAND's Cold War interrogation rooms to Monty Hall's three doors — where individually rational moves produce collectively absurd results.

Chapters 01–17 → Prisoner's Dilemma … Unexpected Hanging

PART II

Paradoxes of Choice, Identity & Morality

When saving impoverishes, when pursuing happiness defeats itself, and when a utopia demands one child suffer in a basement.

Chapters 18–27 → Ellsberg Paradox … Paradox of Choice

PART III

Paradoxes of Knowledge, Prediction & Discovery

Black swans, butterflies, trolleys, and a galaxy that should be teeming with civilizations — yet answers us with silence.

Chapters 28–35 → Goodhart's Law … Fermi Paradox

don't just read them — play them

run( the paradoxes ) on yourself

The book argues that abstract warnings don't work — experience does. So this site lets you fall into the traps personally, safely, and repeatedly.

about the author

CM Sharp

CM Sharp writes at the junction where mathematics meets the messier business of being human. A career spent pressure-testing strategy in boardrooms — where Prisoner's Dilemmas wear suits and Dollar Auctions are called "bidding wars" — convinced the author that the classic paradoxes aren't curiosities. They are operating manuals.

"These puzzles teach us that our intuitions can be systematically wrong, and that humility in the face of complexity is itself a form of wisdom."

Rationality's Edge distills millennia of these traps — from Eubulides of Miletus in the 4th century BCE to zero-determinant strategies discovered in 2012 — into thirty-five chapters you can argue about at dinner.

Rationality's Edge book cover

get the book

Where logic ends and human nature begins

  • 35 puzzles spanning game theory, probability, choice, identity, morality and knowledge
  • The history: RAND's first 100-round experiment, the Parade magazine firestorm, Shubik's $20 dollar bill
  • Real-world playbooks — climate treaties, price wars, central banks, autonomous vehicles
  • Latest research updates: zero-determinant strategies, the Moral Machine experiment, ensemble forecasting