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Sovereign
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Haha. Funny Ahnuld joke. 
IMHO, RoN had one of the best combat systems regarding the technological disparity between the civ’s units.
However, I have a better combat model for a True Civ game. Here goes….
Unit Base Hit Points:
Ancient Age Units: 2 Hit Points
Middle Age Units: 4 Hit Points
Industrial Age Units: 7 Hit Points
Modern Age Units: 10 Hit Points.
So, say, an Elite Modern Age unit would have 15 Hit Points total while a regular Ancient Age unit would have 5 Hit Points total.
Next area…. Firepower.
Ancient Age Unit Firepower: 1 = 1 hit point damage per attack.
Middle Age Unit Firepower: 1 = 1 hit point damage per attack.
Industrial Age Unit Firepower: 2 = 2 hit point damage per attack.
Modern Age Unit Firepower: 2 = 2 Hit points per attack.
The exceptions to this rule are:
3 Firepower units (3 hit point damage per attack) = Modern Armor, Radar artillery, AEGIS cruiser, cruise missiles, and Stealth bombers.
4 Firepower units (4 hit point damage per attack) = Battleship
Last area…. Odds calculation. Throw out the stupid Civ3 random generator.
Attacker hitting Defender: Attacker’s AP divided by Defender’s DP modified by Fortify, Terrain bonuses, and city structures / size (if inside city).
Defender’s chance to deflect incoming attack: Defender’s base DP divided by Attacker’s AP then the result divided by the Attacker’s Firepower.
Defender’s chance to counterattack: Defender’s AP divided by Attacker’s DP modified by terrain or Fortification / Barrier bonuses (if Attacker is attacking from a fortress)
Attacker’s chance to deflect defender’s attack: Attacker’s DP divided by Defender’s AP, then result divided by the Defender’s firepower.
Note: When a successful Deflection is achieved, no damage is dealt to the unit doing the deflecting.
An example:
Marine: Attack 10, Defense 5
Infantry: Attack 6, Defense 8
Marine is located on a grassland tile.
Infantry is fortified and located on a grassland tile.
Marine attacks. Has 10 / 12 odds of hitting the Infantry. Infantry has 50% bonus to base defense from fortifying.
Infantry tries to deflect the incoming attack. 4 / 10 odds. Attacker has 2 firepower, so 8/10 divided by 2 is 4/10, which will be the final result / odds.
The Infantry tries to counterattack. 6 / 5 odds that it’ll succeed.
The Marine tries to deflect. 5 / 6 initial odds of success. 5/6 divided by 2 (Defender’s firepower) = 5/12 then 5/12 is final odds of success.
Then the cycle repeats until either the Attacker or Defender dies.
Hopefully my models were clear enough for everyone to follow.
What do you think? 
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Sovereign
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Sorry for double post!
For some reason my T1 connection is sucking AGAIN! 
Last edited by Sovereign on 07-02-2004 at 01:54
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Flip McWho
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New Zealand
May 2002
time: 17:33
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Unless your so far in front of your opponent that they don't have anything better.
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bvoncranium
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The Nation's Capital
Mar 2003
time: 00:33
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Skill-testing question for you sharp math-types:
If you compare the probability of the Tank winning in Case#1 and Case#2 below, does it have the same chance of winning? If not, which probability of winning is greater?
Case#1: A veteran Tank on the Plains attacks an unfortified veteran Spearman on an adjacent Plains, with no improvements (town, radar, etc) or advantageous terrain (river) involved.
Unit Attack = 16, Unit Defense = 2
Case#2: A veteran Spear on the Plains attacks an unfortified veteran Tank on an adjacent Plains, with no improvements (town, radar, etc) or advantageous terrain (river) involved.
Unit Attack = 1, Unit Defense = 8
If needed, I'll post the correct answer in the coming week.
Have fun - bvc
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bvoncranium
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The Nation's Capital
Mar 2003
time: 00:33
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quote:
Thriller's right:
- 10% defender bonus for plains - Defending Tank gets more bonus than defending Spear. So case 1 is 16 vs 2.2 and case 2 is 1 vs 8.8;
- Tank has retreat ability of (I think) 67% for veteran.
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It is the Tank's retreat probability that, strangely enough, reduces the probability of a win for the Spearman AND for the Tank.
One way to describe it is:
a) With no retreat, there are 8 possible outcomes for this battle in terms of hp for each unit, each with a certain probability. The sum of probabilities in this case line up with vmxa1's post.
b) With retreat, there are 12 possible outcomes for the battle in terms of hp for each unit. In the 4 cases wherein the Spear has been lucky enough to take the Tank to 1 hp, the Tank has a good chance of withdrawing, which drastically reduces the Spear's real chance of victory. Also in the 4 cases wherein the Tank goes to 1 hp and retreats, it cuts off a number of it's own paths to victory, thereby reducing its total chance for victory.
The net effect is that both units have a lower chance of victory than in the no-retreat case, with the difference taken up by the probability that no-one wins (4 retreat outcomes).
If anyone is interested I can post the math at a later date.
What's more pertinent is:
1) The Tank's chance of winning is very high.
2) The Tank's chance of surviving is even higher.
3) The Tank's chance of losing is extremely small - if this happens to you, and there are no mitigating factors, you have no luck at all.
Go get 'dem Spearfolk! - bvc
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04-02-2004 08:05
unfortified) on open terrain ( 
It seems you have confused the setting of battle probabilities with the mechanics of the resolving each battle round (the latter depending on the RNG).
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