I justed ran 15 tests, 4 units on each side. First test was HRE Pavise Xbowmen vs Yeomen Archers, 2nd was Longbowmen vs. Ottoman Infantry, 3rd was Pavisers vs Ottos. I controleld the Longbowmen vs the Ottos and HRE, and the HRE vs. the Ottos. Started the battle on Arsuf, with my units already in loose formation, and left it alone, and just watched. Unit setting was 48 men per unit. All units were fully upgraded armor. When my longbows ran out of ammo, I had them attempt melee. Generally not successful. Pavisers never ran out of ammo.
Test 1, HRE Pavisers vs Longbows: 183/82(HRE), 176/71(HRE), 162/100(HRE), 184/54(HRE), 118/150(Longbows! hurrah!)
First battle, I forgot to set lose formation, and changed about half way through...
Test 2: Longbows vs. Ottoman infantry: 164/94(Ottos), 161/100(Ottos), 117/150(Longbows!), 162/117(Ottos), 178/144(Ottos)
This whole test was Foggy conditions, but I reckon that evens out since both sides are archers. Third battle, the Ottos switched to fire arrows half way through, and what was previously a lopsided fight(roughly 40% of my force dead, vs 30% of the Ottos), turned around quickly.
Test 3: HRE Pavisers vs. Ottos: 179/99(HRE), 169/91(HRE), 169/96(HRE), 180/78(HRE), 160/107(HRE!)
The ottos, for some reason, attempted to march as close as possible to the Pavisers EVERY battle, and skirmish mode frequently kicked on, and the Pavisers ripped into the Ottos. I chose to control the HRE, because I had the feeling they would win, and after losing 8 or the last 10, I needed to pump up my win ratio!
This shows, I think, just how vulnerable "elite" archers(here I use that term to mean archers with long range, shields and armor) are to prolonged missile fire. Doesn't necessarily mean squat, but I think it's a good example of why I prefer Pavisers in general: they can take a little bit of shooting before they start hurting overly much. in actual campaign, most of my armies have atleast 4 units of Pavisers, and I've generally found them to be quite useful in keeping enemy archers and cavalry "honest".
I will admit that Pavisers lack the general awesome of stakes, which allows a heavy Longbow stack to virtually ignore cavalry charges. Their melee is also admittedly worse, and they arn't going to outfight longbows. But they WILL outshoot them. Any time you can position Pavisers where they can't be easily charged off by cavalry, they will ALWAYS impress. When facing Cavalry, I find it necessary to manually retreat my missile units(archers or xbows) behind my lines, as the skirmish range is shorter than the charge range of cavalry. The AI generally charges their cavalry early, which means I retreat behind Serjents or Spear Militia, and let them handle the cavalry, while my xbows manuever to the wings to pour on the fire against the infantry.
Now, I do think it's obvious that the AI will almost never handle heavy Longbow stacks against a crafty human: I'll always deploy my archers widely to get the most stakage, and generally position my heavy infantry(if I have any) on the front lines during battle, retreating the archers back. Enemy cav charge the stakes, die, enemy infantry get shot apart, reach the swordsmen, and die. But that's as much the AI being retarded as anything else.
But my money is still on Pavisers: if you can get good field position they will never let you down. They also make decent anvil troops, due to their high DEF in melee, allowing them to tangle with enemy spearmen and hold the line, vital if you need to stop some encirclment by french spear spam(why does the French AI ALWAYS seem to spam upgraded spearmen? I don't know!), for example. Don't expect them to handle dedicated melee troops, but against the lighter types, and in defense of walls, they are stellar.
I'll still say that Pavisers are great, because they can fight pretty much anyone's elite archers and come off well in a ranged battle, and are available to a majority of factions(Spain, Portugal, HRE, Milan, Venice, Sicily, Papal States and Hungary, or 8 of the 15 playable factions. I think that's a pretty good performance ratio, especially when you consider their modest 490 florins recruitment cost. They are also cheaper to maintain(By 50 florins less for militia, 25 for Pavisers) than longbowmen. This adds up: 2 longbow units cost as much to maintain as 3 Pavise Militia! Genoese are more expensive, but you get a higher starting armor, and their actual Pavisers have Attack 14 AP! Yowsers. In addition, the Genoese can have 1 higher level of armor than other Pavisers, so they're better protected.
I like Pavisers because I don't have to rush to kill enemy archers to keep my missile units alive, and I can actually let them exchange volleys for a while, while my cavalry can manuever to a flank. Or, and this is VERY important when using Catapults, I can let my artillery soften up the enemy army, without worrying that my cavalry chasing down archers are going to catch friendly fire. That's important! I've lost too many family members during what would've been heroic victories, to my inaccurate siege weaponry.
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