# Optimal Auction Design on Multi-setting Auction mixture of 2x3 to 3x7 settings (test)

Source: [Optimal Auction Design on Multi-setting Auction mixture of 2x3 to 3x7 settings (test)](<https://www.sota2.com/research/sota/optimal-auction-design-on-multi-setting-auction-mixture-of-2x3-to-3x7-settings-test>)

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

Data updated: 2026-02-26T06:02:14.865Z

Evaluation of Optimal Auction Design performance across a mixture of auction settings ranging from 2x3 to 3x7 configurations, measured by revenue and regret.

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 | Optimal Auction Design |
| Dataset (including any stated split) | Multi-setting Auction mixture of 2x3 to 3x7 settings (test) |
| Metric | Revenue |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 33 of 33 |
| 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

- [Revenue](<https://www.sota2.com/research/sota/optimal-auction-design-on-multi-setting-auction-mixture-of-2x3-to-3x7-settings-test.md?metric=Revenue>): Higher is better; unit: SCALAR.

- [Regret](<https://www.sota2.com/research/sota/optimal-auction-design-on-multi-setting-auction-mixture-of-2x3-to-3x7-settings-test.md?metric=Regret>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Revenue | Result date | Report paper |
| --- | --- | --- | --- |
| EquivariantNet | 4.467 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretFormer | 4.14 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretNet | 3.921 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| EquivariantNet | 3.834 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| EquivariantNet | 3.787 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretFormer | 3.553 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretFormer | 3.521 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretNet | 3.362 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretNet | 3.346 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| EquivariantNet | 3.226 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| EquivariantNet | 3.108 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretFormer | 3.006 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretFormer | 2.911 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| EquivariantNet | 2.889 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretNet | 2.866 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretNet | 2.786 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretFormer | 2.703 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| EquivariantNet | 2.646 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretNet | 2.573 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretFormer | 2.471 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| EquivariantNet | 2.449 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretNet | 2.339 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretFormer | 2.312 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretNet | 2.217 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| EquivariantNet | 2.07 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretFormer | 1.951 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretNet | 1.855 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| EquivariantNet | 1.795 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretFormer | 1.708 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretNet | 1.652 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| EquivariantNet | 1.504 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretFormer | 1.432 | Not recorded | 68fa6dc81e209131cea3c2a3 |
| RegretNet | 1.386 | Not recorded | 68fa6dc81e209131cea3c2a3 |

### EquivariantNet

Revenue: 4.467. Result ID: 698fe9833a6c314849fcbe90.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b161e209131cea2c0e9.md>)

Recorded evaluation configuration: {"Setting":"3x7"}. This record does not assert independent reproduction.

### RegretFormer

Revenue: 4.14. Result ID: 698fe9833a6c314849fcbe91.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"3x7"}. This record does not assert independent reproduction.

### RegretNet

Revenue: 3.921. Result ID: 698fe9833a6c314849fcbe8f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"3x7"}. This record does not assert independent reproduction.

### EquivariantNet

Revenue: 3.834. Result ID: 698fe9833a6c314849fcbe81.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b161e209131cea2c0e9.md>)

Recorded evaluation configuration: {"Setting":"2x7"}. This record does not assert independent reproduction.

### EquivariantNet

Revenue: 3.787. Result ID: 698fe9833a6c314849fcbe8d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b161e209131cea2c0e9.md>)

Recorded evaluation configuration: {"Setting":"3x6"}. This record does not assert independent reproduction.

### RegretFormer

Revenue: 3.553. Result ID: 698fe9833a6c314849fcbe82.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"2x7"}. This record does not assert independent reproduction.

### RegretFormer

Revenue: 3.521. Result ID: 698fe9833a6c314849fcbe8e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"3x6"}. This record does not assert independent reproduction.

### RegretNet

Revenue: 3.362. Result ID: 698fe9833a6c314849fcbe8c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"3x6"}. This record does not assert independent reproduction.

### RegretNet

Revenue: 3.346. Result ID: 698fe9833a6c314849fcbe80.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"2x7"}. This record does not assert independent reproduction.

### EquivariantNet

Revenue: 3.226. Result ID: 698fe9833a6c314849fcbe7e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b161e209131cea2c0e9.md>)

Recorded evaluation configuration: {"Setting":"2x6"}. This record does not assert independent reproduction.

### EquivariantNet

Revenue: 3.108. Result ID: 698fe9833a6c314849fcbe8a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b161e209131cea2c0e9.md>)

Recorded evaluation configuration: {"Setting":"3x5"}. This record does not assert independent reproduction.

### RegretFormer

Revenue: 3.006. Result ID: 698fe9833a6c314849fcbe7f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"2x6"}. This record does not assert independent reproduction.

### RegretFormer

Revenue: 2.911. Result ID: 698fe9833a6c314849fcbe8b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"3x5"}. This record does not assert independent reproduction.

### EquivariantNet

Revenue: 2.889. Result ID: 698fe9833a6c314849fcbe72.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b161e209131cea2c0e9.md>)

Recorded evaluation configuration: {"Setting":"average"}. This record does not assert independent reproduction.

### RegretNet

Revenue: 2.866. Result ID: 698fe9833a6c314849fcbe7d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"2x6"}. This record does not assert independent reproduction.

### RegretNet

Revenue: 2.786. Result ID: 698fe9833a6c314849fcbe89.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"3x5"}. This record does not assert independent reproduction.

### RegretFormer

Revenue: 2.703. Result ID: 698fe9833a6c314849fcbe73.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"average"}. This record does not assert independent reproduction.

### EquivariantNet

Revenue: 2.646. Result ID: 698fe9833a6c314849fcbe7b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b161e209131cea2c0e9.md>)

Recorded evaluation configuration: {"Setting":"2x5"}. This record does not assert independent reproduction.

### RegretNet

Revenue: 2.573. Result ID: 698fe9833a6c314849fcbe71.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"average"}. This record does not assert independent reproduction.

### RegretFormer

Revenue: 2.471. Result ID: 698fe9833a6c314849fcbe7c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"2x5"}. This record does not assert independent reproduction.

### EquivariantNet

Revenue: 2.449. Result ID: 698fe9833a6c314849fcbe87.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b161e209131cea2c0e9.md>)

Recorded evaluation configuration: {"Setting":"3x4"}. This record does not assert independent reproduction.

### RegretNet

Revenue: 2.339. Result ID: 698fe9833a6c314849fcbe7a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"2x5"}. This record does not assert independent reproduction.

### RegretFormer

Revenue: 2.312. Result ID: 698fe9833a6c314849fcbe88.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"3x4"}. This record does not assert independent reproduction.

### RegretNet

Revenue: 2.217. Result ID: 698fe9833a6c314849fcbe86.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"3x4"}. This record does not assert independent reproduction.

### EquivariantNet

Revenue: 2.07. Result ID: 698fe9833a6c314849fcbe78.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b161e209131cea2c0e9.md>)

Recorded evaluation configuration: {"Setting":"2x4"}. This record does not assert independent reproduction.

### RegretFormer

Revenue: 1.951. Result ID: 698fe9833a6c314849fcbe79.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"2x4"}. This record does not assert independent reproduction.

### RegretNet

Revenue: 1.855. Result ID: 698fe9833a6c314849fcbe77.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"2x4"}. This record does not assert independent reproduction.

### EquivariantNet

Revenue: 1.795. Result ID: 698fe9833a6c314849fcbe84.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b161e209131cea2c0e9.md>)

Recorded evaluation configuration: {"Setting":"3x3"}. This record does not assert independent reproduction.

### RegretFormer

Revenue: 1.708. Result ID: 698fe9833a6c314849fcbe85.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"3x3"}. This record does not assert independent reproduction.

### RegretNet

Revenue: 1.652. Result ID: 698fe9833a6c314849fcbe83.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"3x3"}. This record does not assert independent reproduction.

### EquivariantNet

Revenue: 1.504. Result ID: 698fe9833a6c314849fcbe75.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b161e209131cea2c0e9.md>)

Recorded evaluation configuration: {"Setting":"2x3"}. This record does not assert independent reproduction.

### RegretFormer

Revenue: 1.432. Result ID: 698fe9833a6c314849fcbe76.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"2x3"}. This record does not assert independent reproduction.

### RegretNet

Revenue: 1.386. Result ID: 698fe9833a6c314849fcbe74.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6dc81e209131cea3c2a3.md>)

Recorded evaluation configuration: {"Setting":"2x3"}. This record does not assert independent reproduction.

Page 1 of 1. This is an index page, not the full collection.
