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Learning Joint Behaviors with Large Variations
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Proposes DJBD, a multi-agent exploration method that learns a 1-Lipschitz representation function to maximize traveled distances in joint behavior space, implemented on top of QMIX (and MAPPO), evaluated on LBF, SMAC, and SMACv2.
Problem
Insufficient exploration in cooperative MARL; mutual information-based exploration methods can be maximized with only small differences between joint behaviors, so agents do not learn joint behaviors with large variations.
Approach
Replace mutual information with a conditional mutual information bound whose direction term aligns latent-space joint behavior differences with latent variables; enforce a 1-Lipschitz constraint (spectral normalization) on the representation so that larger latent differences correspond to larger traveled distances in joint behavior space, used as a per-step transition reward in QMIX.
Key results
- DJBD outperforms QMIX and mutual information baselines (MAVEN, EOI, CDS, FoX, etc.) across SMAC scenarios including 6h vs 8z and corridor (super hard).
- On SMACv2 terran, protoss, and zerg 5 vs 5, DJBD achieves significant outperformance over baselines in all scenarios.
- Ablating the 1-Lipschitz constraint drops performance to roughly QMIX level, showing the constraint is essential.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add DJBD exploration to QMIX | QMIX · LBF | final performance | Helped |
| Add DJBD exploration to QMIX | QMIX · SMAC | final performance | Mixed |
| Add DJBD exploration to QMIX | QMIX · SMACv2 | win rate | Helped |
| Remove the 1-Lipschitz constraint (ablation) | DJBD · SMAC | performance | Hurt |
| Replace the direction term objective with the normal-distribution objective (ablation) | DJBD · SMAC | performance | Hurt |
| Replace the direction term objective with the regularizer term (ablation) | DJBD · SMAC | performance | Hurt |
| Replace φ(ut+1) − φ(ut) with φ(ut) (ablation) | DJBD · SMAC | performance | Hurt |
| Replace φ(ut+1) − φ(ut) with φ(ut+1) (ablation) | DJBD · SMAC | performance | Hurt |
| Replace φ(ut+1) − φ(ut) with φ(ut+1 − ut) (ablation) | DJBD · SMAC | performance | Hurt |
Surprising findings
- Maximizing the direction objective without the Lipschitz constraint yields performance similar to QMIX, so enlarging representation-space distance alone does not enlarge joint behavior distance.
- The method does not improve over baselines in simple scenarios such as 3s5z (easy) and 2c vs 64zg (hard), suggesting diversity may not help learning efficiency there.
Limitations
- Gains are limited or absent in simple scenarios where diversity does not aid learning.
- Relies on a Lipschitz-constrained representation, and the 1-Lipschitz constraint is critical; variants without it fail.
Experimental setup
Datasets: LBF SMAC SMACv2
Benchmarks: LBF SMAC SMACv2
Metrics: win rate average return average normalized joint behavior distance food items eaten visitation heatmap coverage
Baselines: QMIX QTRAN MAVEN EOI CDS PMIC LIPO FoX
Builds on: QMIX MAVEN MAPPO spectral normalization
Closest papers by meaning
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- Cooperative Policy Agreement: Learning Diverse Policy for Offline MARL (AAAI 2025 · similarity 0.89)
- Scalable Constrained Policy Optimization for Safe Multi-agent Reinforcement Learning (NeurIPS 2024 · similarity 0.89)
- O-MAPL: Offline Multi-agent Preference Learning (ICML 2025 · similarity 0.88)
- Revisiting Cooperative Off-Policy Multi-Agent Reinforcement Learning (ICML 2025 · similarity 0.88)
- Multi-agent cooperation through learning-aware policy gradients (ICLR 2025 · similarity 0.88)
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