K you are right, i have nood checked it good enough. I did so now however:
I enter the following info in 2 battle calculators
(
http://forums.civfanatics.com/showthread.php?t=75765 and
http://www.safalra.com/other/civilization.html)
Attackers always veteran (who builds regulars)
results are written as: Win - Loss - Retreat(calc1) -:- Win (calc2)
Defender1: normal spearman, fortified, grassland.
. Horsemen: 48.9 - 26.0 - 25.0 -:- 51
. Swordsmen: 70.4 - 29.6 -:- 70
Defender2: veteran spearman, fortified, grassland.
. Horsemen: 32.9 - 32.8 - 34.2 -:- 34
. Swordsmen: 55.7 - 44.3 -:- 56
Defender3: normal spearman, fortified, city.
. Horsemen: 40.8 - 32.2 - 27.0 -:- 35
. Swordsmen: 62.5 - 37.5 -:- 55
Defender4: veteran spearman, fortified, city.
. Horsemen: 25.2 - 33.7 - 41.1 -:- 20
. Swordsmen: 46.5 - 53.5 -:- 39
Defender5: normal spearman, fortified, city, hills.
. Horsemen: 30.7 - 34.9 - 34.4 -:- 27
. Swordsmen: 51.5 - 48.5 -:- 46
Defender6: veteran spearman, fortified, city, hills.
. Horsemen: 16.8 - 37.4 - 45.8 -:- 14
. Swordsmen: 34.7 - 65.3 -:- 29
Now to the conclusions:
-The combat calculators give different results. :s
-In easy battles, the chance to lose is almost equal for swords and horses while swords have a far greater chance to win.
-In harder battles, the chance to lose for swords becomes up to double that of horses. However, it's chance to win is equally increased. Therfore, horses will need many more battles before defeating the enemy. if we take the toughest example vs veteran fortified in city on hill, horses have 17% chance vs 35% for swords. It is difficult to calculate the exact numbers because the defender will be damaged after earlier battles and also might get upgrades after defeating an enemy. I will leave this to better math scientists, but my estimate is that loses will be about equal again, but the swords needing only half the amount of troops to take the city.
-the difference between regular and veteran defenders is bigger than one might expect. It makes it almost as tough as a city on a hill.
basically it looks like this:
if you need 2 swordsmen on average (1 will win, 1 will die) you need 3 horses for the same battle (1 will win, 1 will die, 1 will retreat)
I would like you to explain why a large group of horses would be better than a large group of swords if a single sword is better than a single horse. Of course, if you bring groups of 10 to 1 city defended by 2 spears, the horses will get their earlier and thus be better. (losses are equal)
if however you split your swords in 2 groups, you can take 2 cities with them while the horses take one city.