marioslaz wrote:I surrender! I cannot argument against " I believe that..." or "My experience is...".
I make a good and accurate software model which simulate what happen in one million of melee. If I run it with 2 identical units I get they win at exactly 50% (wow! what a surprise!) and if I run it with 2 blocks of same bases' number BG, but with different formations, I get they win at 55% and 45%. Does nobody care about? Well, I don't care too. Do you want to put your head beneath the ground like an ostrich? Do it, I don't care at all.
I care

.
I believe there is a basic problem that is going on.
The "my experience" group is based on what they observed in actual games. This includes lots of random swings of luck, more complex situations (involving skimrishers, other units, generals, etc) and of course the entire rest of the battle.
The "simulation" group is interested in understanding what happends in small isolated components. At least for me, some of the interactions are pretty subtle and while I can reliable predict my superior knights will slaughter MF armed with swords - I probably would not have predicted the advantage in the fight discussed here was on the side of the small BGs. It looks to me at least like that is true for a number of people reading this thread.
The real thing to take away is that there is no "right" answer here all the pieces are useful in thinking about the game. I personally find the "bulding block" from the simulation pretty useful. Just like a good poker player knows the odds of drawing a particular hand (and there have been studies, turns out those guys are amazingly good at estimating subtle probability differences) to form the basis of their play. Equally, good poker players aren't just computers they play in a much bigger game that invovles a lot of elements that aren't just pure probability.
Neither position "I find in most games that I don't really think the small BGs have an advantage" is not incompatible with "two small BGs on their own vs on large will, in general, favor the smaller BG side" is wrong. If you want to learn something from it it, then there is a lot more discussion and detail that matters (generals, shooting, skirmishing, how you play out the fight, etc).
All that said, if you really think probability and simulation of this sort have no value and that you can win "based on a feeling" I highly suggest you head out to Vegas and make a fortune...Simulating this combat is no different than simulating craps, roulette or anythign else...just throwing dice after all...