# Nash Equilibrium Approximation on HUNL Endgame 10 boards (random boards)

Source: [Nash Equilibrium Approximation on HUNL Endgame 10 boards (random boards)](<https://www.sota2.com/research/sota/nash-equilibrium-approximation-on-hunl-endgame-10-boards-random-boards>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-05-12T17:00:36.615Z

Evaluation of algorithms for approximating the Nash Equilibrium specifically within the context of the HUNL Endgame 10 board scenarios, measured by exploitability relative to the pot size.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Nash Equilibrium Approximation |
| Dataset (including any stated split) | HUNL Endgame 10 boards (random boards) |
| Metric | Exploitability (Fraction of Pot) |
| Unit | PERCENT |
| Direction | Lower is better |
| Results loaded | 18 of 18 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Exploitability (Fraction of Pot)](<https://www.sota2.com/research/sota/nash-equilibrium-approximation-on-hunl-endgame-10-boards-random-boards.md?metric=Exploitability%20(Fraction%20of%20Pot)>): Lower is better; unit: PERCENT.

## Recorded results

| Method | Exploitability (Fraction of Pot) | Result date | Report paper |
| --- | --- | --- | --- |
| ev-nd | 0.143 | Not recorded | 6a02b4b3dbc836b87d824fac |
| ev-nd | 0.171 | Not recorded | 6a02b4b3dbc836b87d824fac |
| equity | 0.189 | Not recorded | 6a02b4b3dbc836b87d824fac |
| rank | 0.202 | Not recorded | 6a02b4b3dbc836b87d824fac |
| ev-nd | 0.202 | Not recorded | 6a02b4b3dbc836b87d824fac |
| ev-root | 0.22 | Not recorded | 6a02b4b3dbc836b87d824fac |
| ev-nd | 0.244 | Not recorded | 6a02b4b3dbc836b87d824fac |
| ev-nd | 0.261 | Not recorded | 6a02b4b3dbc836b87d824fac |
| ev-nd | 0.279 | Not recorded | 6a02b4b3dbc836b87d824fac |
| ev-root | 0.323 | Not recorded | 6a02b4b3dbc836b87d824fac |
| equity | 0.334 | Not recorded | 6a02b4b3dbc836b87d824fac |
| rank | 0.337 | Not recorded | 6a02b4b3dbc836b87d824fac |
| ev-nd | 0.484 | Not recorded | 6a02b4b3dbc836b87d824fac |
| ev-nd | 0.492 | Not recorded | 6a02b4b3dbc836b87d824fac |
| ev-nd | 0.502 | Not recorded | 6a02b4b3dbc836b87d824fac |
| ev-root | 0.515 | Not recorded | 6a02b4b3dbc836b87d824fac |
| equity | 0.531 | Not recorded | 6a02b4b3dbc836b87d824fac |
| rank | 0.541 | Not recorded | 6a02b4b3dbc836b87d824fac |

### ev-nd

Exploitability (Fraction of Pot): 0.143. Result ID: 6a035c9947f34ce924e90369.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"200","Warm-up iterations (W)":"500","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### ev-nd

Exploitability (Fraction of Pot): 0.171. Result ID: 6a035c9947f34ce924e90366.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"200","Warm-up iterations (W)":"50","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### equity

Exploitability (Fraction of Pot): 0.189. Result ID: 6a035c9947f34ce924e9035a.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"200","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### rank

Exploitability (Fraction of Pot): 0.202. Result ID: 6a035c9947f34ce924e9035d.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"200","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### ev-nd

Exploitability (Fraction of Pot): 0.202. Result ID: 6a035c9947f34ce924e90363.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"200","Warm-up iterations (W)":"10","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### ev-root

Exploitability (Fraction of Pot): 0.22. Result ID: 6a035c9947f34ce924e90360.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"200","Warm-up iterations (W)":"50","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### ev-nd

Exploitability (Fraction of Pot): 0.244. Result ID: 6a035c9947f34ce924e90368.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"50","Warm-up iterations (W)":"500","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### ev-nd

Exploitability (Fraction of Pot): 0.261. Result ID: 6a035c9947f34ce924e90365.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"50","Warm-up iterations (W)":"50","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### ev-nd

Exploitability (Fraction of Pot): 0.279. Result ID: 6a035c9947f34ce924e90362.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"50","Warm-up iterations (W)":"10","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### ev-root

Exploitability (Fraction of Pot): 0.323. Result ID: 6a035c9947f34ce924e9035f.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"50","Warm-up iterations (W)":"50","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### equity

Exploitability (Fraction of Pot): 0.334. Result ID: 6a035c9947f34ce924e90359.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"50","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### rank

Exploitability (Fraction of Pot): 0.337. Result ID: 6a035c9947f34ce924e9035c.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"50","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### ev-nd

Exploitability (Fraction of Pot): 0.484. Result ID: 6a035c9947f34ce924e90361.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"20","Warm-up iterations (W)":"10","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### ev-nd

Exploitability (Fraction of Pot): 0.492. Result ID: 6a035c9947f34ce924e90364.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"20","Warm-up iterations (W)":"50","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### ev-nd

Exploitability (Fraction of Pot): 0.502. Result ID: 6a035c9947f34ce924e90367.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"20","Warm-up iterations (W)":"500","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### ev-root

Exploitability (Fraction of Pot): 0.515. Result ID: 6a035c9947f34ce924e9035e.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"20","Warm-up iterations (W)":"50","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### equity

Exploitability (Fraction of Pot): 0.531. Result ID: 6a035c9947f34ce924e90358.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"20","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

### rank

Exploitability (Fraction of Pot): 0.541. Result ID: 6a035c9947f34ce924e9035b.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b4b3dbc836b87d824fac.md>)

Recorded evaluation configuration: {"Bucket Count (K)":"20","CFR variant":"PCFR+","CFR iteration budget (T)":"2,000"}. This record does not assert independent reproduction.

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