11563Re: / paroling and exchanging (was: THE BATTLE OF VICKSBURG

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• Jun 3, 2002
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Thanks, that is the first time someone ever explained the math to me that made
any sense.
I wonder, though, if the decision was really made on the basis of such slim
advantage in the face of such woefull consequences.
Carl

--- In civilwarwest@y..., Jfepperson@a... wrote:
> No, not at all. Suppose I have a 100,000 man army, and
> you have a 60,000 man army. We fight a battle, and in this
> battle we both take 1,000 men prisoners, with 6,000 K&W.
> If we exchange prisoners, after the battle I have 94,000
> men and you have 54,000 men. If we don't exchange, I
> have 93,000 and you have 53,000. 93/53 is (very slightly)
> higher than 94/54, thus the superior force is better off
> not exchanging.
>
> Actually, there is some higher math involved, because
> one can show that, when making equal deductions from
> two forces, the smaller force is reduced by the greater
> fraction. This means an equal exchange policy is always
> a disadvantage (numerically) to the stronger force.
>
> JFE
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