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Beyond Training Time, Test-Time Coordination is Essential for Cooperative MARL
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Position paper arguing cooperative MARL should treat test-time coordination as a design axis, formalizing centralized training with mixed execution (CTME) where a coordinator intermittently emits high-level signals, supported by a toy bottleneck game analysis.
Problem
CTDE provides global information only during training and no coordination channel at execution, so teams in centrally monitored long-horizon cooperative systems cannot realign when objectives or conditions drift (the "recoverability gap").
Approach
Introduce CTME, a problem setting in which a coordinator observes global state and intermittently emits high-level signals (sub-goals, skills, roles, latents) while agents act locally; CTDE is a limit case with no signal. Analyzed via correlated equilibrium/CCE welfare gaps and a sequential toy game with coordination period k.
Key results
- Under the symmetric Nash equilibrium, collision probability converges to 1-1/e ≈ 0.632 as team size grows, and per-agent welfare converges to 1/e - c(1-1/e), negative for c > 1/(e-1).
- A coordinator sampling uniform random permutations achieves zero collisions and welfare N; per-agent coordination gain converges to (1+c)(1-1/e).
- In the sequential toy setting, recovery time after task switches scales as Θ(k) (coordination period), not Θ(τ), and welfare loss under coordinator dropout decreases with k.
Surprising findings
- Per-agent coordination gain depends on collision cost c but only weakly on team size N, since competition and lane count effects nearly cancel.
Limitations
- Toy analysis is didactic and does not test deep MARL on realistic benchmarks.
- CTME provides no robustness guarantee against coordinator corruption; a trusted coordinator is assumed.
- Does not make limited-information distributed control tractable (NEXP-complete in general).
Experimental setup
Metrics: social welfare collision probability recovery time after task switch relative welfare loss under coordinator dropout
Baselines: CTDE CTCE communication-based MARL hierarchical MARL
Builds on: CTDE Dec-POMDP correlated equilibrium options framework communication-based MARL
Closest papers by meaning
- Communication-efficient Multi-Agent Reinforcement Learning with Spatiotemporal Information Hub (AAAI 2026 · similarity 0.88)
- Multi-Agent Coordination via Support-Preserving Distillation (NeurIPS 2026 · similarity 0.87)
- Cross-environment Cooperation Enables Zero-shot Multi-agent Coordination (ICML 2025 · similarity 0.86)
- COOP$^2$: Defining, Observing, and Repairing Cooperation in LLM Multi-Agent Systems (NeurIPS 2026 · similarity 0.86)
- Cooperative Policy Agreement: Learning Diverse Policy for Offline MARL (AAAI 2025 · similarity 0.85)
- GTDE: Grouped Training with Decentralized Execution for Multi-agent Actor-Critic (AAAI 2025 · similarity 0.85)
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