## 5 Experiment Analysis
### Experimental Results Analysis
#### 5.2.1 Win Rate Analysis
\begin{table}
\begin{tabular}{c c c c c c c c} \hline
**Env** & **Results** & **DE-COMA** & **COMA** & **QMIX** & **VDN** & **QTRAN** & **MAVEN** \\ \hline
2s1 sc & Mean & \(5.69\times 10^{-01}\) & \(4.70\times 10^{-01}\) & \(7.21\times 10^{-01}\) & \(\mathbf{8.75\times 10^{-01}}\) & \(8.36\times 10^{-01}\) & \(6.63\times 10^{-01}\) \\  & Std & \(3.13\times 10^{-01}\) & \(3.46\times 10^{-01}\) & \(3.59\times 10^{-01}\) & \(\mathbf{2.78\times 10^{-01}}\) & \(3.16\times 10^{-01}\) & \(3.27\times 10^{-01}\) \\  & Max & \(\mathbf{1.00\times 10^{00}}\) & \(6.00\times 10^{-01}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) & \(9.50\times 10^{-01}\) \\  & Min & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) \\
2s3z & Mean & \(4.41\times 10^{-01}\) & \(2.50\times 10^{-01}\) & \(\mathbf{7.75\times 10^{-01}}\) & \(7.42\times 10^{-01}\) & \(4.70\times 10^{-01}\) & \(5.36\times 10^{-01}\) \\  & Std & \(1.97\times 10^{-01}\) & \(\mathbf{1.14\times 10^{-01}}\) & \(2.61\times 10^{-01}\) & \(2.38\times 10^{-01}\) & \(2.70\times 10^{-01}\) & \(3.19\times 10^{-01}\) \\  & Max & \(\mathbf{1.00\times 10^{00}}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) \\  & Min & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) \\
3m & Mean & \(7.50\times 10^{-01}\) & \(6.68\times 10^{-01}\) & \(\mathbf{7.66\times 10^{-01}}\) & \(7.46\times 10^{-01}\) & \(7.61\times 10^{-01}\) & \(7.11\times 10^{-01}\) \\  & Std & \(\mathbf{1.68\times 10^{-01}}\) & \(1.70\times 10^{-01}\) & \(2.76\times 10^{-01}\) & \(2.49\times 10^{-01}\) & \(2.70\times 10^{-01}\) & \(3.77\times 10^{-01}\) \\  & Max & \(\mathbf{1.00\times 10^{00}}\) & \(9.50\times 10^{-01}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) \\  & Min & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) \\
8m & Mean & \(7.91\times 10^{-01}\) & \(7.01\times 10^{-01}\) & \(\mathbf{8.15\times 10^{-01}}\) & \(7.37\times 10^{-01}\) & \(7.52\times 10^{-01}\) & \(7.06\times 10^{-01}\) \\  & Std & \(2.42\times 10^{-01}\) & \(2.34\times 10^{-01}\) & \(\mathbf{2.37\times 10^{-01}}\) & \(2.80\times 10^{-01}\) & \(2.37\times 10^{-01}\) & \(2.82\times 10^{-01}\) \\  & Max & \(\mathbf{1.00\times 10^{00}}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) & \(1.00\times 10^{00}\) \\  & Min & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) & \(0.00\times 10^{00}\) \\ \hline \end{tabular}
\end{table} 
Table 3: Win rate data for six algorithms on StarCraft II 2s_vs_1 sc, 2s3z, 3m, 8m. As shown in Figure 10, in the 2s3z environment, DE-COMA addresses the convergence issue of the COMA algorithm, leading to a significant improvement in the win rate. However, there is still a gap compared to value-based algorithms (QMIX, VDN) due to the policy-based update approach. As depicted in Table 3, for the 2s3z scenario, DE-COMA exhibits a remarkable 74.6% increase in win rate compared to COMA. In this environment, we conducted a Friedman test on the recorded win rate data. The test results and rankings are shown in Table 5.  
As illustrated in Figure 10, in the 3m environment, the DE-COMA algorithm resolves the instability in convergence that COMA experiences in later stages. It also demonstrates the smallest standard deviation among all tested algorithms, approaching the performance of excellent value-based algorithms. As shown in Table 3, for the 3m scenario, DE-COMA yields a 12.35% improvement in win rate compared to COMA. In this environment, we conducted a Friedman test on the recorded win rate data.