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Fair Order Matching on LOBSTER NASDAQ

0.85SpreadUnconstrained PPO
0.761.36751.9752.5825Apr 7, 2026

Evaluation results

MethodLinks
Unconstrained PPOMethod Category=Learned Baseline2026.040.855,250958,500120.9545.5100———
CPO-FOAMMethod Category=Ours2026.040.954,850918,150151.021.22.5551.8
No Spectral NormMethod Category=Ablation Studies2026.040.984,680897,950161.0522.56.525158.5
PI-only ControllerMethod Category=Ablation Studies2026.040.984,720907,850161.041.84.518124.5
P-only ControllerMethod Category=Ablation Studies2026.041.024,550887,650171.062.87.235209.5
No PID (ξ = 0)Method Category=Ablation Studies2026.041.054,250857,450181.085.811.2752819.5
Lagrangian PPOMethod Category=Learned Baseline2026.041.153,840766,250251.1212.428.51458545.2
No Trust RegionMethod Category=Ablation Studies2026.041.183,800786,450281.1411.525.51308241
PID-LagrangianMethod Category=Learned Baseline2026.041.23,750746,100281.159.514.5453512.5
RCPOMethod Category=Learned Baseline2026.041.253,650725,850301.1810.522.41127238.4
Vanilla CPOMethod Category=Learned Baseline2026.041.353,580705,450321.26.512.4644518.2
No KL ProjectionMethod Category=Ablation Studies2026.041.383,500725,800361.224.59.5422211.5
No Recovery StepMethod Category=Ablation Studies2026.041.43,250685,100421.281.55.515103.8
IPOMethod Category=Learned Baseline2026.041.453,420685,200351.258.215.6855525.4
FIFOMethod Category=Rule-Based Baseline2026.042.451,250424,200851.4518.5100———
Size-Time Interp.Method Category=Rule-Based Baseline2026.042.651,650404,100881.5220.1100———
Pro-RataMethod Category=Rule-Based Baseline2026.043.11,840383,850921.625.4100———