Worked out · AoE3: DE 100.19.18309
Best against cavalry
No. 1: Qiang Pikeman (average edge ×2.75), then Puma Spearman (×2.72) and Levied Spearman (×2.72). Every regular unit ranked by its average edge against the regular cavalry units in equal-cost fights.
| # | Name | Average edge | Note |
|---|---|---|---|
| 1 | ×2.75 | vs 41 cavalry units | |
| 2 | ×2.72 | vs 41 cavalry units | |
| 3 | ×2.72 | vs 41 cavalry units | |
| 4 | ×2.49 | vs 41 cavalry units | |
| 5 | ×2.36 | vs 41 cavalry units | |
| 6 | ×2.36 | vs 41 cavalry units | |
| 7 | ×2.28 | vs 41 cavalry units | |
| 8 | ×2.22 | vs 41 cavalry units | |
| 9 | ×1.99 | vs 41 cavalry units | |
| 10 | ×1.93 | vs 41 cavalry units | |
| 11 | ×1.92 | vs 41 cavalry units | |
| 12 | ×1.92 | vs 41 cavalry units | |
| 13 | ×1.9 | vs 41 cavalry units | |
| 14 | ×1.89 | vs 41 cavalry units | |
| 15 | ×1.88 | vs 41 cavalry units | |
| 16 | ×1.82 | vs 41 cavalry units | |
| 17 | ×1.79 | vs 41 cavalry units | |
| 18 | ×1.75 | vs 41 cavalry units | |
| 19 | ×1.71 | vs 41 cavalry units | |
| 20 | ×1.7 | vs 41 cavalry units | |
| 21 | ×1.7 | vs 41 cavalry units | |
| 22 | ×1.68 | vs 41 cavalry units | |
| 23 | ×1.68 | vs 41 cavalry units | |
| 24 | ×1.67 | vs 41 cavalry units | |
| 25 | ×1.64 | vs 41 cavalry units | |
| 26 | ×1.64 | vs 41 cavalry units | |
| 27 | ×1.6 | vs 41 cavalry units | |
| 28 | ×1.58 | vs 41 cavalry units | |
| 29 | ×1.55 | vs 41 cavalry units | |
| 30 | ×1.54 | vs 41 cavalry units | |
| 31 | ×1.5 | vs 41 cavalry units | |
| 32 | ×1.48 | vs 40 cavalry units | |
| 33 | ×1.48 | vs 40 cavalry units | |
| 34 | ×1.46 | vs 41 cavalry units | |
| 35 | ×1.43 | vs 40 cavalry units | |
| 36 | ×1.42 | vs 40 cavalry units | |
| 37 | ×1.38 | vs 41 cavalry units | |
| 38 | ×1.37 | vs 40 cavalry units | |
| 39 | ×1.34 | vs 40 cavalry units | |
| 40 | ×1.24 | vs 40 cavalry units | |
| 41 | ×1.23 | vs 40 cavalry units | |
| 42 | ×1.21 | vs 41 cavalry units | |
| 43 | ×1.21 | vs 40 cavalry units | |
| 44 | ×1.17 | vs 41 cavalry units | |
| 45 | ×1.14 | vs 40 cavalry units | |
| 46 | ×1.14 | vs 40 cavalry units | |
| 47 | ×1.12 | vs 40 cavalry units | |
| 48 | ×1.11 | vs 40 cavalry units | |
| 49 | ×1.1 | vs 40 cavalry units | |
| 50 | ×1.1 | vs 40 cavalry units | |
| 51 | ×1.08 | vs 40 cavalry units | |
| 52 | ×1.07 | vs 40 cavalry units | |
| 53 | ×1.07 | vs 40 cavalry units | |
| 54 | ×1.06 | vs 41 cavalry units | |
| 55 | ×1.06 | vs 40 cavalry units | |
| 56 | ×1.05 | vs 41 cavalry units | |
| 57 | ×1.04 | vs 40 cavalry units | |
| 58 | ×1.03 | vs 40 cavalry units | |
| 59 | ×1.03 | vs 41 cavalry units | |
| 60 | ×1.02 | vs 40 cavalry units | |
| 61 | ×1.02 | vs 40 cavalry units | |
| 62 | ×1.01 | vs 41 cavalry units | |
| 63 | ×1.01 | vs 40 cavalry units | |
| 64 | ×0.98 | vs 40 cavalry units | |
| 65 | ×0.97 | vs 40 cavalry units | |
| 66 | ×0.97 | vs 40 cavalry units | |
| 67 | ×0.96 | vs 40 cavalry units | |
| 68 | ×0.94 | vs 40 cavalry units | |
| 69 | ×0.93 | vs 41 cavalry units | |
| 70 | ×0.93 | vs 40 cavalry units | |
| 71 | ×0.93 | vs 40 cavalry units | |
| 72 | ×0.92 | vs 40 cavalry units | |
| 73 | ×0.92 | vs 41 cavalry units | |
| 74 | ×0.89 | vs 41 cavalry units | |
| 75 | ×0.88 | vs 41 cavalry units | |
| 76 | ×0.87 | vs 41 cavalry units | |
| 77 | ×0.86 | vs 41 cavalry units | |
| 78 | ×0.86 | vs 41 cavalry units | |
| 79 | ×0.86 | vs 41 cavalry units | |
| 80 | ×0.85 | vs 40 cavalry units | |
| 81 | ×0.85 | vs 41 cavalry units | |
| 82 | ×0.81 | vs 40 cavalry units | |
| 83 | ×0.81 | vs 41 cavalry units | |
| 84 | ×0.79 | vs 40 cavalry units | |
| 85 | ×0.78 | vs 40 cavalry units | |
| 86 | ×0.77 | vs 41 cavalry units | |
| 87 | ×0.75 | vs 41 cavalry units | |
| 88 | ×0.75 | vs 40 cavalry units | |
| 89 | ×0.73 | vs 41 cavalry units | |
| 90 | ×0.73 | vs 41 cavalry units | |
| 91 | ×0.72 | vs 41 cavalry units | |
| 92 | ×0.71 | vs 41 cavalry units | |
| 93 | ×0.68 | vs 40 cavalry units | |
| 94 | ×0.68 | vs 41 cavalry units | |
| 95 | ×0.68 | vs 41 cavalry units | |
| 96 | ×0.68 | vs 41 cavalry units | |
| 97 | ×0.67 | vs 41 cavalry units | |
| 98 | ×0.67 | vs 41 cavalry units | |
| 99 | ×0.66 | vs 41 cavalry units | |
| 100 | ×0.66 | vs 41 cavalry units | |
| 101 | ×0.65 | vs 41 cavalry units | |
| 102 | ×0.65 | vs 41 cavalry units | |
| 103 | ×0.61 | vs 41 cavalry units | |
| 104 | ×0.6 | vs 41 cavalry units | |
| 105 | ×0.59 | vs 40 cavalry units | |
| 106 | ×0.56 | vs 41 cavalry units | |
| 107 | ×0.54 | vs 40 cavalry units | |
| 108 | ×0.52 | vs 41 cavalry units | |
| 109 | ×0.52 | vs 41 cavalry units | |
| 110 | ×0.5 | vs 40 cavalry units | |
| 111 | ×0.48 | vs 41 cavalry units | |
| 112 | ×0.48 | vs 41 cavalry units | |
| 113 | ×0.43 | vs 41 cavalry units | |
| 114 | ×0.38 | vs 41 cavalry units | |
| 115 | ×0.38 | vs 41 cavalry units | |
| 116 | ×0.31 | vs 41 cavalry units | |
| 117 | ×0.26 | vs 41 cavalry units | |
| 118 | ×0.23 | vs 41 cavalry units | |
| 119 | ×0.23 | vs 41 cavalry units | |
| 120 | ×0.22 | vs 41 cavalry units | |
| 121 | ×0.18 | vs 41 cavalry units |
How this is worked out
Equal-cost fights by Lanchester's square law: strength = (resources ÷ unit cost)² × damage per second × hit points; one hit = damage × the multipliers matching the target × (1 − its resist). Edge = √(strength ratio); the average is the geometric mean over every regular cavalry unit, so ×2 against one and ×½ against another cancel out. Above ×1 it wins on average.
Assumptions: Base stats: no upgrades, cards or civilization bonuses. Range, speed and area damage are not modelled.