Yes. To find what will win in a fight, click each unit and compare it's stats against the other's armor type and hit points. If there is a terrain bonus, it must be multiplied into the power of the units it affects. Fortifications would be multiplied into the entire defending force, if they are within fortifications. Remember there is a slight X factor.

this is a post for @DxC

jeepers this is a lot to take in

lot to answer here, I will re read it and take a look

The exact order and combination of the combat algorithm is kept secret. However there are some rules of thumb.

1. Try to attack using the rock paper scissors mind set.

• That is to say each unit has advantages and disadvantages based on terrain and armor class use the best unit in the proper location.
  

2. The more unit type in an attack (stacking limit) the less percentage of attack power is used within an attack.

• For, example 5 light tanks attack at 100% State-based damage efficiency if they are level 3 the damage they will do is 100 points, but if you have 10 in a stack the attack 76% State-based damage efficiency or about 150 - 175 points .
  
• The bigger the stack gets the less efficient it will become. (So as a strategy you might want to attack from two different directions with two stacks of 5 which would give you 200 points of damage vs 150 - 175.
  

3. With the above said there are also other factors like moral and terrain which can change that number.

On a personal note -- I try not to mix Armor and other units as it tends to slow them down and you loose the advantage of speed dragging such things as AA and artillery.

I Blitz with Tanks with good air support is the best means of moving fast, but dont forget that Tanks suck in cities so dont attack them unless they are empty.

You can think about it like in terms of mathematics. In the end the combat engine is ran by math whether it's secret or not. The numbers that you see when looking at the attack and defense vs others are more than likely multipliers in the algorithm they use to run the combat engine.

If you are wondering whether or not physics plays into it, i would say not much going on there. Technically a blast from a tank could kill dozens of infantry, if they were standing right in front of it. However outside of a rear tank gunner one infantry is perfectly safe behind the tank but what damage could he possibly do to it?

In this game, lets say you have 5 Militia & 1 Tank against 1 Tank.

When the one tank fires at the group the damage is not spread around amongst all the stack members but is, at different ratios, to other types of units in the group. Meaning that the only militia that will take damage is the first one in the stack and not all of them. The second in the stack doesn't get hurt until the first one is dead unless the damage is high enough to kill more than one at a time. The tank will also take damage but at a lesser rate.

When the group fires back however instead of lower power coming from all 5, let's just say the first one is dead and the second one is at 70%, you get a hit at 70% from the one guy but 100% from the other 3. This is just the way they have it at the moment, I would think that will eventually change as certain units should be able to damage everyone in the group whether they are stacked or not. From a hit point perspective, damage is damage but then again the last 3 guys in the group didn't even get a scratch from the tank blast.

What would be cool to figure out is when you go in a fight with a good mix of units against a good mix of units and to know who is going to damage what first. This can be determined though.

You can start a game with a buddy to test out and figure out how they are calculating it as it's not random function, simple math that's all

Wrong!

The 'math' includes probability functions, so there is (large) random component.

Furthermore, Bystro continually dithers with the functionality, so there is no way you can start a game with a buddy and figure out how they are calculating the battle outcomes.