My understanding of the 3-1 concept is that it was mostly based on WWII experience (perhaps some WWI experience), where it was felt you needed a 3-1 edge in numbers while on the offensive to more or less guarrantee success. It should be noted that this was 3-1 over the entire front; but much higher odds were felt to be needed in the local areas where you were making your actual attacks; i.e. at the schwerpunkt, where I often read of numbers like 6-1 or 10-1 being needed.
How this extrapolates to the era portrayed in EU is anybody's guess. But assuming for the moment that it does extrapolate, we would conclude that in your war against country X you would need an overall edge in manpower of 3-1, to guarrantee victory, but for the localized efforts we might need more like 8-1 or 10-1 or so.
My observation is that in the large majority of cases a 10-1 margin you'll have almost a guarranteed victory.
How this extrapolates to the era portrayed in EU is anybody's guess. But assuming for the moment that it does extrapolate, we would conclude that in your war against country X you would need an overall edge in manpower of 3-1, to guarrantee victory, but for the localized efforts we might need more like 8-1 or 10-1 or so.
My observation is that in the large majority of cases a 10-1 margin you'll have almost a guarranteed victory.