Following the topic raised by Colin Knox I just wanted to expand on this further.
Austerlitz indeed was the greatest victory but it was not a result of some sort of magic prevision by Napoleon. His orders from the 1st of December and the general battle plan signed off on the evening of the 1st of Dec suggest that the flow of the battle was not a result of cunning calculation but the improvisation based on the flaws of the Allied battle plan.
Napoleon’s battle plan says nothing about attacking allied center; it says nothing about encircling the enemy between Pratzen and the ponds. The disposition says nothing about operations in this area at all!
In fact the disposition prescribed the opposite: the main attack towards east was to be performed by Lann’s and Bernadote’s Corps supported by the entire Reserve cavalry. That is why the bulk of Napoleon’s forces including the entire reserve cavalry were concentrated around Santon hill. Davout was dispatched towards Kobelnitz:

In short, no operations around Tellnitz and Sokolnitz were planned. In reality, the so called “main attack” towards Pratzen was carried by a limited force of Soult’s Corps who found himself outnumbered while attacking the heights, who had less than 1,000 cavalry under his operational command and who after capturing the heights had no further orders and had no idea what he is supposed to do next.
The traditional view on the French battle plan (which to this day found on Wikipedia):
“….the French troops would attack and recapture the Pratzen Heights, then from the Heights they would launch a decisive assault to the center of the Allied army, cripple them and then encircle them from the rear” - has little to do with reality. The classical view of the battle was born as a result of post-factum knowledge about the battle.
The day before battle Napoleon did not plan to attack Prazten heights and had no idea which way the allied columns occupying the Pratzen heights were going to move. If Allied columns were going to stay on Pratzen as was advocated by Kutuzov, the task of capturing the heights would be suicidal. Prior to battle, seeing Allied columns occupying the heights Napoleon exclaimed: “if they think I am going to attack them there, they will have to wait for a long time”.
Most likely the plan was to crush Bagration cutting off Allied communication lines to Olmutz and then turning his front from West to East facing south. Seeing Allied columns abandoning the heights Napoleon realized the opportunity to achieve what was achieved historically and it appears that to large extend the greatest victory was achieved due to the flaw of the allied battle plan, the weaknesses in the allied command chain (that is only nominal command by Kutuzov) and Napoleon’s ability to recognize the opportunity. However, this was not as a result of precisely calculated plan but rather an improvisation.
“No battle plan survives contact with the enemy”
Even with the full knowledge of each other’s forces and disposition – the historical scenario is still a challenge to both players, especially the Allied who having equal forces is burdened with a task of attacking and faces a dilemma of defending the heights or attacking Sokolnitz/Telnitz. I also suppose we are yet to see an Allied player who can beat Colin Knox playing the French. If there are any senior French officers willing to try H&R 1.03 Austerlitz historical scenario drop me a message.