The larger the league, the more you need a "sure thing" with that #1 pick. There is less opportunity to recover from a risky pick when fewer "consistant production players" are available between each pick.
The alternative to changing strategy with the first pick though, is mitigating that risk later in the draft by picking up hand-cuff players.
Disagree with this sentiment. I think LUCKS says it best when he says later on in this thread that in the WCOFF "LJ is the obvious #1 pick for that format IMHO.". Why is that?Well what do you wamt in your #1 pick in any league size? You want a guy that will stay healthy and consistantly put up the most points. But there is rarely an opporunity to optimize all conditions, so you have to evaluate what is the most imporatnt.
Much can be learned from statistics, in that in the long run, you always want to choose the play with the most expected value. That is, you determine the value of all probable outcomes and multiple them by their probablity. So, for example let's say you are considering Larry Johnson vs. Shaun Alexander. Say for example that you argue that there is a 90% chance Shaun stays healthy and scores 200 points, but a 10% chance he scores only 80 points (due to injury). Then you say 200*.9 + 80*.10 and you expect Shaun Alexander to score 199 points. For Larry Johnson, perhaps you argue that he can score 230 points 65% of the time, but only 60 the other 35% of the time. You give LJ an expected value of 174.5.
In the long run, you
always take the play with the most expected value. Its a no brainer. Given enough chances, that play pays off the most. But in a redraft league, its not the long term. Its a one shot proposition. You have to ask yourself, how much do I need to leave some expected value on the table in order to maximize my chances of winning?
League size plays a big factor here. If I handed you a $25 chip in a casino and told you that if in an hour you didn't have a thousand dollars to give me, what game would you play? The highest expected value would be to play conservatively at craps or at blackjack, but that isn't going to give you the money you need. You need to give up a lot of expected value and put that $25 chip down on a number at the roulette number and say a prayer.
When your league size is small, you take the expected value and stick to the sure thing (think pass line craps bets or conservative blackjack) when you play in a big league (or a huge league like WCOFF) doing "good" isn't going to cut the mustard. You have to do outstanding. So in that case you leave expected value on the table in order to try to show a huge return.
So the point is, small league = take less risk, maximize your value. Big to huge league = take more risk, try to maximize your investment and shoot the moon. THis is where I think LUCKS was originally going. If you play in an 8 team league Shaun Alexander is a no brainer at #1. But when you play in WCOFF, Larry Johnson is your no brainer.