CTDE and the three MARL baselines Training time — centralized critic / mixer / value sees all agents' observations + actions stationary target for each actor update addresses non-stationarity of multi-learner settings MADDPG critic · QMIX mixer · MAPPO centralized V Deploy time — decentralized actor 0 sees o_0 only local action actor 1 sees o_1 only local action actor N sees o_N only local action no critic at runtime; only local policy call three baselines, three specializations MADDPG (2017) per-agent critic · continuous actions · mixed cooperative/competitive · scales ~10 agents QMIX (2018) value decomposition · monotone mixer · cooperative · discrete · dominant on SMAC MAPPO (2022) PPO with centralized V · minimal tuning · cooperative · robust across benchmarks production note start with MAPPO; escalate to MADDPG for mixed settings, QMIX for sparse cooperative For LLM-agent systems: CTDE is a design pattern; training end-to-end is optional.