It doesn't give you the best chance of winning because there's not enough time left for additional possessions. That's not the case early in the second quarter. Pretty straightforward.
Exactly. So number of trials remaining is a factor. So why do you think number of games in a series wouldn't be a factor?
I think the fact that your example of points having diminishing marginal returns required a blowout scenario. That wasn't the case when this decision we're talking about was made.
You pointed out in my example that you didn't think it was relevent because you're decision would be influenced by the possibility of diminishing returns on the amount of money you won. I was simply refuting your reasoning because it exists in the game scenario as well.
For example, take your $ hypothetical and divide the dollar figures by 1000 or 10,000. If that's the case I take the higher EV option every time, and so do most people. That hypo is far more relevant to a 3-0 game early in the second quarter than your example.
Yes, if lower the value of the bet, it becomes easier. Why? Because not much as at stake. In a one game scenario, the stakes are high, I'm arguing that at any point in a Conference Championship game the stakes are much closer to my hypothetical than your alternate hypothical of dividing the values by 1000 or 10,0000. It's all or nothing. It's not, "oh i lost, I'll get em next time." There is no next time, every single play, ever single possession is important. There is no need there to risk 3 points for an average possiblility of gaining and additional 1.1
I don't follow your "unnecessary gambles" logic at all. Every play is a gamble, you never know what could happen when the ball is snapped. Using phrases like "unnecessary gambles" sounds like risk aversion to me, and that's "keep my job" coaching, not "win the game" coaching.
No it's not "keep my job" coaching. The reasoning goes like this...I like my chances in this game, especially at 3-3. Sure, 7-3 would be better, but 0-3 could be disasterous if with the momentum swing Brady marches down the field and puts me in a 10-0 hole. I don't think I'd like my chances as much then against this high powered offense. Hmmmm, it is a tough one though, 7-3 would sure be sweet. And TobiasFunke tells me my EV on such a play is 4.1 compared to 3 for a FG. So on average, if I go for it, I can walk away ahead 4.1 to 3. That's really not much better than 3-3, especially since it's unlikely I keep the Pats from scoring again this game. Plus its a long yard, not just inches, and my QB isn't great at sneaks, and their Defense has been blowing up the run so far. I tried this last week too and failed, it could have cost me the game. If I go for it and don't score, I'm giving a not so great defense who's already playing well a real confidence boost. And my offense has struggled a bit, so getting any points would be a nice boost for them. Plus, if I kick the fg, the worst that can happen is the Pats score, and I'm still only down 1 score, still in the game. It's just not worth the risking of falling behind a team that thrives on having a lead. Besides, I liked my chances at 0-0, I still like my chances at 3-3.
Now, the same (reversed) agrument could be made for going for it. The point is, there are many other factors involved that you can't possible put a number on get an accurate EV for that exact situation.
Look, I'm not saying the decision was right, and I'm not saying it's wrong. All I'm saying is there is too many variables to even come up with an accurate EV calculation for that situation. And even if you could, it's possible (read that, possible, I'm not saying always, just that its possible) that selecting the lower EV can actually give you the better chance at winning. Look back to my hypothetical, multiply or divide the amounts by however much you want. The truth is, option 1 gives you a 50% chance of losing money. Option 2, you're almost certain to end up winning. Obviously, football is more complicated than that, but that's the point, it's too complex to be able to accurately calculate an EV of a play.
We could probably go back and forth like this all day, and if we haven't changed each others mind by now, we probably never will.