Kuhn Poker
A simplified poker game with a 3-card deck, one round of betting, and a single raise option.
Game Properties
| Property | Value |
|---|
| Histories (terminals and chance histories included) | 58 |
| Payoff range (min/max for P1) | -2 / 2 |
| Information states P1 P2 total |
6 6 12
|
| Actions per state | 2 |
| Nash equilibrium value (P1) |
-1/18 = -0.0555...
|
Uniform Random Policy
| Metric | Value |
|---|
| EV (P1) | 0.125 |
| Exploitability | 0.458333 |
| BRV (best-response value) of P1The EV of a P2 best-response to the P1 policy | 0.416667 |
| BRV (best-response value) of P2The EV of a P1 best-response to the P2 policy | 0.5 |
Algorithm Convergence
| Algorithm | Iterations | Exploitability |
|---|
| CFR |
100 |
— |
| CFR |
1000 |
— |
| CFR+ |
100 |
— |
References
- H. W. Kuhn. "A Simplified Two-Person Poker." In H. W. Kuhn and A. W. Tucker (eds.), Contributions to the Theory of Games, Vol. I, Annals of Mathematics Studies 24, pp. 97–103. Princeton University Press, 1950. https://doi.org/10.1515/9781400881727-010