play /

kuhn poker

antes of 1
J♠
Q♠
K♠

Three cards. One each. One bet.

Both players ante 1 and get a jack, queen or king. You can check or bet 1, and a bet can be called or folded. The bot plays the exact equilibrium, so over many hands nobody can beat it.

Seats alternate every hand. Enter to start.
the equilibrium

First to act: bet a king half the time, bluff a jack one time in six, never bet a queen; after checking and facing a bet, call with a queen half the time. Second: bet a king always, bluff a jack a third of the time, call with a queen a third of the time.

the value

Acting first is worth −1/18 of an ante per hand. Acting second, +1/18. Seats alternate, so perfect play breaks even.

elsewhere
Nash equilibriumPlay: push or foldenter for the next hand