No Biggie
I did a little bit of research here, nothing significant; I did this last week and I keep forgetting to write it up and keep forgetting to post it, so I’m going to post it here late on Sunday night, because this is when I am thinking about it.
Suppose that all that you know about a team is the percentage margin between their best player and their second-best player. This is measured by Win Shares. If the best player on a team is 20% better than the second-best player, that could be 18 and 15, or 24 and 20, or 30 and 25, or 36 and 30, or 42 and 35; we don’t know. All that we know is that the best player on the team has 20% more Win Shares than the second-best player on the team—or 10% more, or 7% more, or whatever that number is.
The issue here is, are you better off if that margin is SMALL, or if that margin is large? That’s all I’m asking you here. Are you better off with two good players of roughly the same quality, or with one player who is far better than anybody else on the team?
I know the answer to that question. I didn’t know it 10 days ago, but I know it now, and I’m asking you to guess—or rather, I am asking you to figure it out. Reason it out, and give me your reasons, or just make a wild-ass guess, and give me your wild-ass guess; I don’t care. I’ll give you the answer tomorrow night. No, wait a minute; I’ve got something to do tomorrow evening; I’ll give you the answer some time tomorrow. Thanks.