Welcome to Our Forums. Once you've registered and logged in, you're primed to talk football, among other topics, with the sharpest and most experienced fantasy players on the internet.
Nice. I hope everyone else read this and took notes. It can be really tough to get a bunch of owners to agree to league changes, and this strategy eliminates most of the pissing, moaning, and complaining. Most, b/c "that guy" never quite gets it.
Yep. Indifference to possible choices is the essence of fair division. First things first: the following idea is way too crazy to actually put into practice.
*places gun to head*Yep. Indifference to possible choices is the essence of fair division. First things first: the following idea is way too crazy to actually put into practice.
But I think the cake-cutting solution is the best one. So you know how split a piece of cake between two people. One cuts, the other chooses. No one can complain. But what if you have to split the cake among three people? Or four? One way to go is this, let's say with 12 people:
1. Person A cuts off a piece that he is willing to take.
2. Person B does not have the option of taking that piece. But he can cut something off it and declare that he is willing to take the now-smaller piece. In either event, he passes some piece --- either Person A's or a smaller one which he has claimed --- along to Person C.
3. Person C cannot take that piece, but he can cut something off it and declare that he is willing to take the now-even-smaller piece.
and so on down the line...
Eventually, some piece, which is either Person A's piece, or one smaller than that, gets to the last person in line. He can either (a) cut something off it and take it, or (b) let it stand and be claimed by the last person who cut something off it. Whoever gets it, no one can complain about what he got, because no one in line was willing to take anything less.
Now you take what's left of the cake, reshuffle the 11 remaining people, and do the whole thing again. Keep doing the same process until there are two people left. They do divide-and-choose (which is actually equivalent to this process with two people)
Draft picks aren't quite as finely divisible as pieces of cake are, so the analogy isn't exactly perfect. But I still think this would be a great way to divvy up FF draft slots. Let's say, for simplicity, that it's a 12-team draft with four rounds. So there are 48 picks.
I'm Person A. I say: "I'm willing to take picks #1, #8, #40, and #46"
Now, the next guy in line has to either say, "you can have 'em" or "no way. I'll take #1, #9, #40, and #46".
Then he passes that on to Person C, who can either let it stand, or he can say, "I'll take #2, #9, #40, and #46"
Let's say that gets to the end of the line with nobody willing to slice anything off it. Then Person C has his picks and he's done. The remaining 11 divvy up the remaining 44 picks the same way.
Sounds like fun, huh?
INYep. Indifference to possible choices is the essence of fair division. First things first: the following idea is way too crazy to actually put into practice.
But I think the cake-cutting solution is the best one. So you know how split a piece of cake between two people. One cuts, the other chooses. No one can complain. But what if you have to split the cake among three people? Or four? One way to go is this, let's say with 12 people:
1. Person A cuts off a piece that he is willing to take.
2. Person B does not have the option of taking that piece. But he can cut something off it and declare that he is willing to take the now-smaller piece. In either event, he passes some piece --- either Person A's or a smaller one which he has claimed --- along to Person C.
3. Person C cannot take that piece, but he can cut something off it and declare that he is willing to take the now-even-smaller piece.
and so on down the line...
Eventually, some piece, which is either Person A's piece, or one smaller than that, gets to the last person in line. He can either (a) cut something off it and take it, or (b) let it stand and be claimed by the last person who cut something off it. Whoever gets it, no one can complain about what he got, because no one in line was willing to take anything less.
Now you take what's left of the cake, reshuffle the 11 remaining people, and do the whole thing again. Keep doing the same process until there are two people left. They do divide-and-choose (which is actually equivalent to this process with two people)
Draft picks aren't quite as finely divisible as pieces of cake are, so the analogy isn't exactly perfect. But I still think this would be a great way to divvy up FF draft slots. Let's say, for simplicity, that it's a 12-team draft with four rounds. So there are 48 picks.
I'm Person A. I say: "I'm willing to take picks #1, #8, #40, and #46"
Now, the next guy in line has to either say, "you can have 'em" or "no way. I'll take #1, #9, #40, and #46".
Then he passes that on to Person C, who can either let it stand, or he can say, "I'll take #2, #9, #40, and #46"
Let's say that gets to the end of the line with nobody willing to slice anything off it. Then Person C has his picks and he's done. The remaining 11 divvy up the remaining 44 picks the same way.
Sounds like fun, huh?
