Balanced 3v3 Melee FSM Battles
These simulations were modified to alternate strategies between each player. So, TAW vs. TAC, means that both players use the TAW strategy 10 times and the TAC strategy 10 times, but both players always use different strategies during each round. For a description of the strategies, see 3v3 FSM results. Units:
- createUnit(0, 0, 4, 5);
- createUnit(0, 0, 4, 6);
- createUnit(0, 0, 4, 7);
- createUnit(1, 0, 7, 5);
- createUnit(1, 0, 7, 6);
- createUnit(1, 0, 7, 7);
Win-lose table for the different strategies, the first value corresponds to the wins obtained by the column strategy:
| Strategy | TAW | TAC | AW | AC | HP |
|---|---|---|---|---|---|
| TAW | 8-12 | 7-13 | 8-12 | 12-8 | 10-10 |
| TAC | 11-9 | 10-10 | 11-9 | 13-7 | 7-13 |
| AW | 8-12 | 7-13 | 8-12 | 10-10 | 14-6 |
| AC | 8-12 | 7-13 | 8-12 | 10-10 | 7-13 |
| HP | 9-11 | 13-7 | 9-11 | 11-9 | NA |
Average objective values for the different strategies, where the value is defined as the remaining health of allied units minus the health of enemy units:
| Strategy | TAW | TAC | AW | AC | HP | sum |
|---|---|---|---|---|---|---|
| TAW | -2.2 | -2.95 | -2.2 | 9.7 | 2.5 | -4.85 |
| TAC | -1.05 | -3.55 | -1.05 | 3.25 | 6.85 | -4.45 |
| AW | -2.2 | -2.95 | -2.2 | 4.9 | 16.3 | -13.85 |
| AC | -9.95 | -14.9 | -9.95 | 1.35 | -4.35 | 36.9 |
| HP | -9.85 | -4.6 | -14.45 | -0.7 | NA | 29.6 |
| sum | -24.35 | -28.95 | -29.85 | 18.50 | 21.30 |
Transposing the values from the first table results in the following table:
| Strategy | TAW | TAC | AW | AC | HP |
|---|---|---|---|---|---|
| TAW | 20-20 | 16-24 | 20-20 | 24-16 | 21-19 |
| TAC | 24-16 | 20-20 | 24-16 | 26-14 | 14-26 |
| AW | 20-20 | 16-24 | 20-20 | 22-18 | 25-15 |
| AC | 16-24 | 14-26 | 18-22 | 20-20 | 16-24 |
| HP | 19-21 | 26-14 | 15-25 | 24-16 | NA |
Normalizing the objective values so the sum equals zero results in the following table:
| Strategy | TAW | TAC | AW | AC | HP |
|---|---|---|---|---|---|
| TAW | -0.39 | -1.14 | -0.39 | 11.51 | 4.31 |
| TAC | 0.76 | -1.74 | 0.76 | 5.06 | 8.66 |
| AW | -0.39 | -1.14 | -0.39 | 6.71 | 18.11 |
| AC | -7.24 | -13.09 | -8.14 | 3.16 | -2.54 |
| HP | -8.04 | -2.79 | -12.64 | 1.11 | NA |
The results show that the AC strategy dominates the other strategies. The next strongest strategy is HP, but this is vulnerable to the TAC and AC strategies.
