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Learning Joint Behaviors with Large Variations

AAAI 2025 · Multi-agent systems and games › Cooperative multi-agent RL · approach: Intrinsic-reward exploration for MARL · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add DJBD exploration to QMIXQMIX · LBFfinal performanceHelped
Add DJBD exploration to QMIXQMIX · SMACfinal performanceMixed
Add DJBD exploration to QMIXQMIX · SMACv2win rateHelped
Remove the 1-Lipschitz constraint (ablation)DJBD · SMACperformanceHurt
Replace the direction term objective with the normal-distribution objective (ablation)DJBD · SMACperformanceHurt
Replace the direction term objective with the regularizer term (ablation)DJBD · SMACperformanceHurt
Replace φ(ut+1) − φ(ut) with φ(ut) (ablation)DJBD · SMACperformanceHurt
Replace φ(ut+1) − φ(ut) with φ(ut+1) (ablation)DJBD · SMACperformanceHurt
Replace φ(ut+1) − φ(ut) with φ(ut+1 − ut) (ablation)DJBD · SMACperformanceHurt

Surprising findings

Limitations

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

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