Chandrasekhar
Determined
Not when it's paired with a low base strength and a ridiculous beaker cost.
Is it possible to determine a precise combat victory %chance where getting one extra first strike becomes better than getting +10% or +20% combat strength?
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I'm not going to pretend I'm following.But IIUC first strike gets better the better your combat odds already are. So wouldn't it be possible to make one formula for a given combat odds x +20% => resulting in another combat odds. And then make another list of the same given combat odds x + one first strike, and then simply look when first strike gets better than +20%?
Retreat chance 105% is not attractive?
I'm going to have to say that I agree with Unser. Although I'm fairly certain you could make each promotion equal in any possible combat situation, I would have to say that the effort and time required to undertake such a job would be immense. And, I highly doubt that the way Civ 4 is programmed (and even the way that mathematics works), it will be a nice simple equation to use (i.e. There is virtually no chance that you could make 1 first strike always be equivalent to +20% combat multiplier).
Math simply isn't that straightforward. So, like I said, I'm fairly certain it can be done, but the required time, effort, and resultant required processing power would be so large that it wouldn't be worth trying to do. Plus, I like that each promotion isn't EXACTLY as powerful. It adds some spice to the game. Otherwise, you get people who "min-max" the game to death.
But I get the impression you are imagining a comparison between a unit with no first strikes, no first strikes and 120% strength, and 100% strength and one first strike. That's only one of many possible conditions. There's the comparison between going from 120% to 140% strength, from two to three 1st strikes, and so forth.
And then to be certain you understand a universal rule you have to repeat the whole magilla for different base strength units. While it is likely you will find similar behavior in a 10vs7 battle as a 20vs14 as a 30vs21 battle, you cannot assume that to be true without testing.
Good point. Though I guess that still leaves a limited and manageable number of scenarios.
Aren't base strengths irrelevant if you're working with the effect of first strikes and combat promotions on victory chances? Looks to me the only relevant factor that needs to be counted in would be the promotions and first strikes the unit in question for which we would want to determine the effects of the promotions, already has. Promotions of the enemy combatants simply decrease the victory odds, and first strikes of the opponent simply would need to be deducted from your own unit's first strikes to determine under what scenario you're working to check under what odds first strikes becomes better than a Combat promotion.