QuantMax

GAME

Games, decision theory and puzzles

Pricing a game you may keep playing, and the three habits — counting information, reasoning about what others know, working backwards — that the puzzle round is really testing.

  1. 1

    Expected-value games

    Re-rolls, costs per attempt, self-referential equations and optimal stopping.

  2. 2

    Game theory

    Dominant and mixed strategies, indifference, Nash equilibrium and minimax.

  3. 3

    Poker and decision theory

    Pot odds, equity, ranges, bluffing frequency and balanced play.

  4. 4

    Logic puzzles and multi-agent problems

    Information bounds, common knowledge, hat puzzles and backward induction.

  5. 5

    Classic brainteasers

    The set every desk still asks: ropes, jugs, clocks, coins, eggs, prisoners and bulbs — and the two moves that solve all of them.

  6. 6

    Combinatorial games

    Nim, Sprague–Grundy, subtraction games and symmetry strategies.