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How to balance (calculate strength of) units in any strategy game

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Date Editor Before After
7/5/2016 11:13:47 PMGBrankTheEloIsALie before revert after revert
7/5/2016 11:09:24 PMGBrankTheEloIsALie before revert after revert
Before After
1 Alright, so let me break down some of this math: 1 Alright, so let me break down some of this math:
2 \n 2 \n
3 The second centered formula (why didn't you number them???) says that if unit X costs 200 and unit Y costs 100, then X should have half its HP left the moment Y dies in a straight up battle. 3 The second centered formula (why didn't you number them???) says that if unit X costs 200 and unit Y costs 100, then X should have half its HP left the moment Y dies in a straight up battle.
4 \n 4 \n
5 I don't see why that should "ideally" be true. In fact, raider/riot/skirmish triangles are easy counterexamples of this assumption. This also forces a very specific balance situation where bigger units [i]always[/i] win in a battle of equal cost. 5 I don't see why that should "ideally" be true. In fact, raider/riot/skirmish triangles are easy counterexamples of this assumption. This also forces a very specific balance situation where bigger units [i]always[/i] win in a battle of equal cost.
6 \n 6 \n
7 Worse, this [b]implies that all units are equally good against each other[/b]. That would probably the most boring game/unit selection I could imagine. 7 Worse, this [b]implies that all units are equally good against each other[/b]. That would probably the most boring game/unit selection I could imagine.
8 \n 8 \n
9 Maybe this is an assumption/example by you, but it's not clearly marked as such and makes up a substantial amount of your document... 9 Maybe this is an assumption/example by you, but it's not clearly marked as such and makes up a substantial amount of your document...
10 \n 10 \n
11 [spoiler] 11 [spoiler]
12 I also fail to find a definition of ψ and ϕ, with the former being used both as a function, a function argument and a differential. . . [/spoiler] 12 I also fail to find a definition of ψ and ϕ, with the former being used both as a function, a function argument and a differential. . . Otherwise I'd try to wrap my head around the unit group idea ( because that's an interesting topic) , but I don't see how any of the standard meanings of ϕ would make sense here either. [/spoiler]