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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