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 opponent’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 1 | Player 2 | Player 1 | Payoff |
|---|---|---|---|
| pass | pass | +1 to player with higher card | |
| pass | bet | pass | +1 to player 2 |
| pass | bet | bet | +2 to player with higher card |
| bet | pass | +1 to player 1 | |
| bet | bet | +2 to player with higher card |