Bayesian Games

Every game keeps a live posterior on screen, so you can watch evidence change a belief move by move. Pick one; the All games link at the top of each brings you back here.

Battleship

Hunt a hidden fleet with the exact posterior over where every ship could be.

heat maps · ruling things out

Connect 4

Work out how skilled the computer is from the moves it makes, while it sizes you up.

learning a hidden parameter

Slots

Four machines with secret payout rates. Race a computer that uses Thompson sampling.

Beta posteriors · explore vs exploit

Submarine Hunt

Track a sub that moves every turn with noisy sonar: predict, then update.

filtering · the idea behind GPS

Liar's Dice

Read the computer's hidden dice from its bids, and call it when it lies.

evidence from behaviour · dice odds

Blackjack

Beat the dealer, and work out from the cards whether the shoe is short of tens or rich in them.

comparing hypotheses · card counting