@froodster:
This is way off topic by now but I don’t mind because I started this thread . . .
I wonder if retaking with 2 Inf is smart. With 1 Inf, the other side can get away with retaking with just one Inf. But with 2 Inf, you force them to dedicate more than 2 Inf to guarantee a re-take, thus weakening the main force more than yours was weakened.
I prefer a holistic approach to Axis and Allies, actually. Africa, China . . . it’s all part of the greater whole. In fact, my approach goes so far as to include scenarios in which my opponent had spinach for lunch, with contingency plans for ham and mustard.
Really, you can’t neglect any aspect of the board, or of the opponent that you face.
The THEORY goes something like this:
I have 2 infantry and a fighter attacking your 1 infantry in a 2-3 IPC territory.
I choose to attack because if I leave you alone, you gain 2-3 IPC. If I attack and succeed, you must counterattack or leave me with 2-3 IPC gain.
On the first round of attack:
Your defender has 1/3 a chance of killing a 3 IPC unit (net loss 1 IPC for me)
I have a 47/72 or so chance of killing a 3 IPC unit right away (gain of 3 IPC assuming the enemy infantry DOES die) and gaining a territory worth 2-3 IPC (net gain 5-6 IPC for this step)
I commit 2 infantry worth 6 IPC to the attack. Both of those infantry will die, to the enemy counterattack if nothing else. (net loss 6 IPC for this step)
However, there is a decent chance that the defending infantry will kill neither attacking infantry, and a chance that only one of my attacking infantry will be killed off on the initial attack. Each surviving infantry that I have is worth 1 IPC, because that infantry has at least a 1/3 chance of killing a 3 IPC infantry when you counterattack. (Note that this assumes no battleships; battleships do change the equation). So net gain 1-2 IPC for this step.
Of course, this risk calculation is far from exact, it makes a few assumptions along the way. But roughly,
Lose 1, gain 5-6, lose 6, gain 1-2 for ROUGH parity. I think that if you calculate it all out, the attacker loses a bit. But if the attacker doesn’t attack, of course, the defender simply gains 2-3 IPC from holding the territory, and you gain nothing, for a net of you lose an infantry and your opponent gains an infantry, which is actually a net pain of 4-6 IPC.
Sure, there’s a logistic problem, but the defender doesn’t have to worry so much (the attacker’s coming right for him/her), and the attacker still needs defense at worst.