# Kuhn Poker

There is this really great notebook on CFR for Kuhn Poker:

Kuhn Poker is a simplified game of poker with 3-cards, invented by Harold E. Kuhn. It is a 2-player zero-sum game.

### Basic Explanation of Kuhn Poker

• At the beginning of each round, two players each place 1 chip into the pot (we say that they each ante 1 chip)
• Three cards, marked with numbers 1, 2, and 3, are shuffled. One private card is dealt to both players (meaning the other player cannot see the opponentâ€™s card)
• Play alternates starting with player 1. On a turn, a player may either pass or bet.
• A player that bets places an additional chip into the pot. When a player passes after a bet, the opponent takes all chips in the pot.
• When there are two successive passes or two successive bets, both players reveal their cards, and the player with the higher card takes all chips in the pot.

Here is a summary of possible play sequences with the resulting chip payoffs:

Player 1Player 2Player 1Payoff
passpass+1 to player with higher card
passbetpass+1 to player 2
passbetbet+2 to player with higher card
betpass+1 to player 1
betbet+2 to player with higher card