Leduc Poker

A poker game with a 6-card deck (J, Q, K in two suits), two rounds of betting, and a public community card revealed between rounds.

Game Properties

PropertyValue
Histories (terminals and chance histories included)9457
Payoff range (min/max for P1)-13 / 13
Information states P1 P2 total 468 468 936
Actions per state—
Nash equilibrium value (P1) -0.08561Computed via sequence-form LP. Full floating-point value: -0.08560642407800051

Uniform Random Policy

MetricValue
EV (P1)-0.078125
Exploitability2.373611
BRV (best-response value) of P1The EV of a P2 best-response to the P1 policy2.659722
BRV (best-response value) of P2The EV of a P1 best-response to the P2 policy2.0875

References

  1. F. Southey, M. Bowling, B. Larson, C. Piccione, N. Burch, D. Billings, and C. Rayner. "Bayes' Bluff: Opponent Modelling in Poker." In Proceedings of the 21st Conference on Uncertainty in Artificial Intelligence (UAI 2005), pp. 550–558. https://arxiv.org/abs/1207.1411