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Research map / Multi-agent systems and games / Games and equilibria

Learning to Optimize Differentiable Games

ICML 2023 · Multi-agent systems and games › Games and equilibria · approach: Opponent modeling in competitive games

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Learned optimizer L2PG instead of hand-designed SGA/ConOpttwo-player quadratic games · quadratic games transfer test (stable FPs)convergence steps: 26.375 vs 35.963 (SGA)Helped
Learned optimizer L2PG instead of SGA/ConOptfour-player quadratic games · eps=2 transfer testconvergence steps: 25.00 vs 1000 (SGA, ConOpt)Helped
Learned optimizer L2PG instead of SGA/ConOptGANs (2D mixture of Gaussians) · GAN trainingconvergence speed (qualitative)Mixed
Learned optimizer L2PG on unstable-FP gamestwo-player quadratic games with unstable fixed points · unstable FPs testconvergence steps to unstable FP: 951.4 vs 968.1 (SGA)No clear effect
Add Data-CL curriculum learning (ablation)L2PG meta-training · quadratic games evaluation setconvergence steps: 54.313 vs 402.575 with no CL/SLHelped
Add self-learning (SL) (ablation)L2PG meta-training · quadratic games evaluation setconvergence steps: 91.113 vs 402.575 with no CL/SLHelped
Add Training-CL (ablation)L2PG meta-training · quadratic games evaluation setconvergence steps: 153.938 vs 402.575 with no CL/SLHelped
Combine Data-CL, Training-CL, and SL (ablation)L2PG meta-training · quadratic games transfer testconvergence steps: 26.375 vs 358.763 with no CL/SLHelped
Use all three update components (cg, cA, cS) instead of only cg (ablation)L2PG inputs and update coefficients · quadratic games transfer testconvergence steps: 26.375 vs 64.813 (only cg)Helped
Use only the symmetric S g component (no gradient/antisymmetric) (ablation)L2PG components · quadratic games transfer testconvergence steps: 372.263 vs 26.375 (all components)Hurt
Multiplicative stability-aware loss vs additive regularization vs no regularization (ablation)L2PG meta-training · toy game with unstable FP (Figure 4)convergence to unstable FPHelped

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