Robinette wrote:With that said, here's a few thoughts for you to chew on:
Flat Rate - to go 6-3 just for a card is silly unless there is a STRONG strategic advantage to taking that territory. Chef tahitiwahini listed some great stats above, but you should consider that a card is worth, at most, 3.3 armies (I'm guessing the statistical average is closer to 2.6). Anyway, you will on average lose about 2.5 armies, and then likely leave an army behind or exposed. So where is the upside for the attacker... UNLESS there is a STRONG strategic advantage, DON'T take that territory.
Well, when my 6 v 3 fails, I do feel pretty silly. There's a great deal of truth in what you said regarding flat rate games. And obviously since I don't win every game I play, I can't even begin to make a claim that the way I do things is best.
I do tend to go 6 v 3 when I need to. But I'm happier about doing so if I'm adjacent to another country I own. If I'm adjacent to two countries I own I'm even happier. You get the idea, I'm using reinforcements from my adjacent countries to rectify any disaster I may suffer in my attacks.
When it comes right down to it I guess I'm comfortable betting on 77% odds. Roughly 3 out of 4 times I come out looking pretty good; the fourth time I look like an idiot. I willing to live with that. In real life my odds aren't usually that good anyway.
Again, for my style of play (which may not be optimal from the perspective of winning points, but is a heck of a lot of fun for me, maybe more so than accumulating points -- although there's certainly nothing wrong with that!), cards are the fuel that I absolutely require to advance.
I do agree with your average loss of armies in a 6 v 3 attack being 2.5.
However, I would guess that a card is worth on average closer to 2.9 armies.
(10*6/27 + 8*1/27 + 6*1/27 4*1/27)/3 = 2.89
Plus we're forgetting the potential for 2 additional armies for every country you own in the set you turn in. No idea how to quantify that (but I'll bet our resident statistician Aimless could whip something up along those lines

) , but it's got to be worth something.
So on average, I'm coming out ahead by 0.4 armies on the 6 v 3 attack. It ain't much in itself, I'll readily admit.
But, I get to deploy my card bonus armies anywhere I want. Deployment can be a much more powerful mechanism than fortification. I can deploy anywhere I want to on the board. There are restrictions on where I can fortify. I get to deploy at the beginning of my turn, before I make my attacks, I have to fortify after my attacks have already been made (in other words my fortification armies aren't necessarily positioned correctly for my attacks during the current turn while my deployments are always positioned correctly).
Now, you can make the obvious counter-argument that my 2.5 armies that I expect to lose (on average) from my attack are "real" armies, whereas my 2.9 armies I expect to receive (on average) don't actually exist until the third round. You got me there. However, I don't mind making the investment, because if I can survive to the third round (sometimes this has to be the fourth or fifth round of course depending on how favorable the card gods have been to me), I'm positioned to get (on average) 8.7 armies. I need these 8.7 armies desperately to feed my aggressive continent grabbing strategy.
But all the foregoing is just rationalization. I really do it because I have fun doing it.
Of course, you must take my opinion for what it's worth. This is just CPT. tahitiwahini respectfully offering my opinion to COL. Robinette. It's funny Robinette called me
chef because I've probably got about as much chance winning against him as the weekly challenger does winning against the Iron Chef.