1=[a/(a+d)]+[d/(d+a)]

8) civ 2 design wanted some units that could not attack but at the same time have all units be attacked.
9)Units with defense 0 defend at .125!!!

Test 1 Diplo. vs war. d=.125 a=1
book formula Diplo wins 11.11% of rounds
crash dummies Diplo wins 11.67% of rounds
Total number of rounds 1,132 diplo wins 132

Test 2 Diplo. vs Hrs. d=.125 a=2
book formula Diplo wins 5.88% of rounds
crash dummies Diplo wins 5.84% of rounds
Total number of rounds 1,062 diplo wins 62

Test 3 Diplo. vs Cha. d=.125 a=3
book formula Diplo wins 4.00% of rounds
crash dummies Diplo wins 3.90% of rounds
Total number of rounds 999 diplo wins 39

Note i used the defender as win %
D/(a+d)

And it is. It's just not as simple as the forumla in the manual. Both the odds for the attacker winning a round and the odds of defender winning a round are functions of the attacker's and defender's strength. And in every case, either the attacker or the defender wins. Thus, Awin(A,D)+ Dwin(A,D) = 1. The above link has another link to a spread sheet containing the exact forumlas for Awin(A,D) and Dwin(A,D)

2) There are no chances taken away IE: positive numbers only.
3) 0 is not a positive number

I'm not sure what you're getting at here.

4) The larger the pool(test) the more accurate.

There are well over 1000 tests with 10000's of rounds in the above link.

5) If it aint broke don't fix it

Unless it is broke Note that A/(A+D) is disproved in the above link, specifically it does not hold for Cavalry attacking Armor. The manual even states that A/(A+D) is just an approximation and that turns out to be the case here.

6) Lowest fraction used is 1/8 or .125

Actually, the lowest is 1/16 when you combine .5 bonuses from vets, terrain, fortifying and Pikeman bonus. In any case the fraction is just a modifier to defense strength, it doesn't necessarily provide a lower limit to D.

9)Units with defense 0 defend at .125!!!

Unless there is another formula that fits all cases better. Also see below:

Test 1 Diplo. vs war. d=.125 a=1
book formula Diplo wins 11.11% of rounds
crash dummies Diplo wins 11.67% of rounds
Total number of rounds 1,132 diplo wins 132

The difference between 11.11% and 11.67% is 0.56% or just 6.3 rounds. 6.3 rounds out of 1132 is too small to claim a statistical difference. Random chance could have produced the 6 round difference.

Test 2 Diplo. vs Hrs. d=.125 a=2 ...

Here the delta is just 0.04% of 1062 rounds or 0.42 rounds!

Test 3 Diplo. vs Cha. d=.125 a=3 ...

Delta is just 0.1% of 999 rounds or 0.999 rounds.

My sample was almost 4 times larger than his!
warrior wins 1000 our of 1132 88.33%

Gee his formula is off by 8%.

Cant find that out of 10,000 sample. But im still looking.

Also my diplo test covers being attacked by a horse and a charriot. Ill get back to u
on some more exiting posts in that link.

After reading all of these posts I am still wondering about the pikeman defense as it is used for Anti-tank weaponry. In RedFront there is an AT gun that is 7a3d*1m 2h4f, the * being the pike flag. If I read this thread correctly the pike flag has no effect defending against a Panzer tank 10a6d4m 3h3f or something like that...

partisan attack factor is vastly increased when attacking noncombat units (diplo, settler, caravan,...). Zero-attack units are considered non-combat in civ2. So your partisans rules the winter in RF.

Well Im glad you cleared that up, becaus I was wondering. Would my pikeman get a x2 bonus against an Armor? An armor is in the 'horse unit' line. So, it wouldn't get the bonus. Anyway, if my pikes were ever up against armors, especially since I only have SP, I would never show my screen name here again.