11565Re: / paroling and exchanging (was: THE BATTLE OF VICKSBURG

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• Jun 3, 2002
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Just a sarcastic thought to add here: Since the Southerners claimed
that each of them was worth TWO Yankees in battle, did the
Confederacy insist on only getting one parolee exchanged for every
two Yankees exchanged? :) I rather doubt that!

Joe H.

--- In civilwarwest@y..., Jfepperson@a... wrote:
> 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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