A Unified Framework for Factorizing Distributional Value Functions for Multi-Agent Reinforcement Learning

4 Jun 2023  ยท  Wei-Fang Sun, Cheng-Kuang Lee, Simon See, Chun-Yi Lee ยท

In fully cooperative multi-agent reinforcement learning (MARL) settings, environments are highly stochastic due to the partial observability of each agent and the continuously changing policies of other agents. To address the above issues, we proposed a unified framework, called DFAC, for integrating distributional RL with value function factorization methods. This framework generalizes expected value function factorization methods to enable the factorization of return distributions. To validate DFAC, we first demonstrate its ability to factorize the value functions of a simple matrix game with stochastic rewards. Then, we perform experiments on all Super Hard maps of the StarCraft Multi-Agent Challenge and six self-designed Ultra Hard maps, showing that DFAC is able to outperform a number of baselines.

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Datasets


Results from the Paper


Task Dataset Model Metric Name Metric Value Global Rank Result Benchmark
SMAC SMAC 26m_vs_30m DMIX Median Win Rate 81.82 # 1
Average Score 19.17 # 1
SMAC SMAC 26m_vs_30m DDN Median Win Rate 67.90 # 3
Average Score 18.49 # 3
SMAC SMAC 26m_vs_30m DPLEX Median Win Rate 59.38 # 5
Average Score 18.49 # 3
SMAC SMAC 26m_vs_30m VDN Median Win Rate 23.01 # 6
Average Score 16.69 # 6
SMAC SMAC 26m_vs_30m QMIX Median Win Rate 62.78 # 4
Average Score 18.23 # 5
SMAC SMAC 26m_vs_30m QPLEX Median Win Rate 78.12 # 2
Average Score 18.66 # 2
SMAC SMAC 27m_vs_30m QPLEX Median Win Rate 78.12 # 5
Average Score 19.33 # 5
SMAC SMAC 27m_vs_30m DPLEX Median Win Rate 90.62 # 2
Average Score 19.62 # 2
SMAC SMAC 3s5z_vs_3s6z QPLEX Median Win Rate 84.38 # 6
Average Score 20.42 # 2
SMAC SMAC 3s5z_vs_3s6z DPLEX Median Win Rate 90.62 # 4
Average Score 20.27 # 3
SMAC SMAC 3s5z_vs_4s6z QMIX Average Score 13.09 # 6
SMAC SMAC 3s5z_vs_4s6z DPLEX Average Score 14.99 # 4
SMAC SMAC 3s5z_vs_4s6z DMIX Median Win Rate 83.52 # 2
Average Score 18.61 # 2
SMAC SMAC 3s5z_vs_4s6z QPLEX Average Score 13.60 # 5
SMAC SMAC 3s5z_vs_4s6z DDN Median Win Rate 89.77 # 1
Average Score 19.65 # 1
SMAC SMAC 3s5z_vs_4s6z VDN Median Win Rate 47.16 # 3
Average Score 17.16 # 3
SMAC SMAC 6h_vs_8z QPLEX Average Score 15.95 # 4
SMAC SMAC 6h_vs_8z DPLEX Median Win Rate 43.75 # 4
Average Score 17.88 # 2
SMAC SMAC 6h_vs_9z DMIX Average Score 13.73 # 4
SMAC SMAC 6h_vs_9z VDN Average Score 13.57 # 5
SMAC SMAC 6h_vs_9z DDN Median Win Rate 0.28 # 2
Average Score 16.00 # 1
SMAC SMAC 6h_vs_9z DPLEX Average Score 14.84 # 2
SMAC SMAC 6h_vs_9z QMIX Median Win Rate 1.14 # 1
Average Score 12.37 # 6
SMAC SMAC 6h_vs_9z QPLEX Average Score 13.86 # 3
SMAC SMAC corridor DPLEX Median Win Rate 81.25 # 7
Average Score 19.08 # 6
SMAC SMAC corridor QPLEX Median Win Rate 75.00 # 8
Average Score 18.73 # 7
SMAC SMAC corridor_2z_vs_24zg DDN Median Win Rate 41.19 # 1
Average Score 11.10 # 1
SMAC SMAC corridor_2z_vs_24zg QPLEX Average Score 6.44 # 5
SMAC SMAC corridor_2z_vs_24zg DMIX Average Score 7.41 # 4
SMAC SMAC corridor_2z_vs_24zg DPLEX Median Win Rate 3.12 # 2
Average Score 10.71 # 2
SMAC SMAC corridor_2z_vs_24zg QMIX Average Score 4.80 # 6
SMAC SMAC corridor_2z_vs_24zg VDN Median Win Rate 0.00 # 3
Average Score 7.78 # 3
SMAC SMAC MMM2 QPLEX Median Win Rate 96.88 # 3
Average Score 19.60 # 4
SMAC SMAC MMM2 DPLEX Median Win Rate 96.88 # 3
Average Score 19.93 # 2
SMAC SMAC MMM2_7m2M1M_vs_8m4M1M QMIX Median Win Rate 29.55 # 5
Average Score 14.40 # 5
SMAC SMAC MMM2_7m2M1M_vs_8m4M1M DPLEX Median Win Rate 50.00 # 3
Average Score 15.89 # 3
SMAC SMAC MMM2_7m2M1M_vs_8m4M1M DMIX Median Win Rate 63.35 # 1
Average Score 16.24 # 2
SMAC SMAC MMM2_7m2M1M_vs_8m4M1M DDN Median Win Rate 56.82 # 2
Average Score 16.50 # 1
SMAC SMAC MMM2_7m2M1M_vs_8m4M1M QPLEX Median Win Rate 46.88 # 4
Average Score 15.52 # 4
SMAC SMAC MMM2_7m2M1M_vs_8m4M1M VDN Median Win Rate 13.35 # 6
Average Score 13.13 # 6
SMAC SMAC MMM2_7m2M1M_vs_9m3M1M QPLEX Median Win Rate 90.62 # 2
Average Score 19.06 # 4
SMAC SMAC MMM2_7m2M1M_vs_9m3M1M DMIX Median Win Rate 92.33 # 1
Average Score 19.33 # 3
SMAC SMAC MMM2_7m2M1M_vs_9m3M1M DPLEX Median Win Rate 90.62 # 2
Average Score 19.40 # 2
SMAC SMAC MMM2_7m2M1M_vs_9m3M1M VDN Median Win Rate 75.00 # 6
Average Score 17.30 # 6
SMAC SMAC MMM2_7m2M1M_vs_9m3M1M QMIX Median Win Rate 88.64 # 5
Average Score 19.01 # 5
SMAC SMAC MMM2_7m2M1M_vs_9m3M1M DDN Median Win Rate 90.34 # 4
Average Score 19.45 # 1

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