Leduc hold’em
Description
Leduc hold’em is a simplified poker proposed in [Souhty+05].
Rules
We quote the description in [Souhty+05]:
Leduc Hold ’Em. We have also constructed a smaller version of hold ’em, which seeks to retain the strategic elements of the large game while keeping the size of the game tractable. In Leduc hold ’em, the deck consists of two suits with three cards in each suit. There are two rounds. In the first round a single private card is dealt to each player. In the second round a single board card is revealed. There is a two-bet maximum, with raise amounts of 2 and 4 in the first and second round, respectively. Both players start the first round with 1 already in the pot.
Figure 1: An example decision tree for a single betting round in poker with a two-bet maximum. Leaf nodes with open boxes continue to the next round, while closed boxes end the hand.
Specs
| Name | Value |
|---|---|
| Version | v0 |
| Number of players | 2 |
| Number of actions | 4 |
| Observation shape | (7,) |
| Observation type | bool |
| Rewards | {-13, -12, ... 0, ..., 12, 13} |
Observation
| Index | Description |
|---|---|
[0] |
True if J in hand |
[1] |
True if Q in hand |
[2] |
True if K in hand |
[3] |
True if J is the public card |
[4] |
True if Q is the public card |
[5] |
True if K is the public card |
[6:19] |
represent my chip count (0, ..., 13) |
[20:33] |
represent opponent's chip count (0, ..., 13) |
Action
There are four distinct actions.
| Index | Action |
|---|---|
| 0 | Call |
| 1 | Raise |
| 2 | Fold |
Rewards
The reward is the payoff of the game.
Termination
Follows the rules above.
Version History
v0: Initial release (v1.0.0)
References
- [Souhty+05][Bayes' Bluff: Opponent Modelling in Poker](https://arxiv.org/abs/1207.1411) UAI2005