To everyone who's part of the diplomacy in Sweden minigame:
I've tried various possibilities in how to apportion the SCI between the players, and there is a winner. I'm not claiming that this one maximizes the overall gain over all possible variants since there's an astronomical number of them, however.
Basically, the idea is that there are 4 variables in the formula:
(A-B-C)^2 / D
A is what you already put as an entry fee, it's fixed.
B is the mean amount you send
C is the mean amount you receive
D is the mean amount overall
Since you have to send all our SCI, B is equal to A divided by the number of people you send to. C is determined by other players. D decreases as the number of people you send to increases.
To get more points, you must increase the numerator, and decrease the denominator.
It seems that the best way to maximize the overall gain is to send low average to the people who paid a lot, and high average to the people who paid little. This means people who paid a lot end up with high A-B-C, and people who paid little end up with negative A-B-C (which, when squared, ends up positive). Basically, bring down high SCI people as little as possible, and bring down low SCI people as much as possible.
Now, the lower the D, the high the overall gain, all other things being equal. They're not equal though, and after experimenting, it seems like the influence of D outweighs others.
So in the end, the winning strategy is: low SCI poeple give to everyone (if they can - if they have less than 13 SCI in the game, they give 1 SCI to everyone except two, who get nothing), high SCI people split equally between low SCI people (but not high SCI people), everyone gets 1 if possible. If people have to split equally but end up with non-integer amounts, split the remainder between low SCI people.
This means the following:
Bucket: send 2 to roopatra, 1 to Crown, 2 to Odin, 1 to goin2mars, 2 to Erin, tombot, Veronica, 1 to Mooo, SirJacket, noms, Loaf, 2 to sammy007, deborah
Roopatra: send 1 to Bucket, Crown, goin2mars, tombot, Veronica, Mooo, SirJacket, noms, sammy007, deborah
Crown: send 8 to Bucket, Roopatra, Odin, goin2mars, Erin, tombot, Veronica, Mooo, SirJacket, 7 to noms, Loaf, sammy007, deborah
Odin: send 1 to Bucket, Crown, goin2mars, tombot, Veronica, Mooo, SirJacket, noms, sammy007, deborah
goin2mars: send 7 to Bucket, Roopatra, Crown, Odin, Erin, tombot, Veronica, Mooo, SirJacket, noms, sammy007, 6 to deborah
Erin: send 1 to Bucket, Crown, Odin, goin2mars, tombot, Veronica, Mooo, SirJacket, noms, deborah
tombot: send 6 to Bucket, Roopatra, Crown, 7 to Odin, 6 to goin2mars, 7 to Erin, 6 to Veronica, Mooo, SirJacket, noms, Loaf, sammy007, deborah
Veronica: send 2 to Bucket, 3 to Roopatra, 2 to Crown, 3 to Odin, 2 to goin2mars, 3 to Erin, 2 to tombot, 2 to Mooo, SirJacket, noms, Loaf, 3 to sammy007, 2 to deborah
Mooo: send 142 to Bucket, Roopatra, 1 to Crown, 142 to Odin, 1 to goin2mars, 142 to Erin, 1 to tombot, 142 to Veronica, 1 to SirJacket, noms, Loaf, 142 to sammy007, deborah
SirJacket: send 142 to Bucket, Roopatra, 1 to Crown, 142 to Odin, 1 to goin2mars, 142 to Erin, 1 to tombot, 142 to Veronica, 1 to Mooo, noms, Loaf, 142 to sammy007, deborah
noms: send 113 to Bucket, Roopatra, 1 to Crown, 113 to Odin, 1 to goin2mars, 114 to Erin, 1 to tombot, 113 to Veronica, 1 to Mooo, SirJacket, 1 to Loaf, 114 to sammy007, deborah
Loaf: send 142 to Bucket, Roopatra, 1 to Crown, 142 to Odin, 1 to goin2mars, 142 to Erin, 1 to tombot, 142 to Veronica, 1 to Mooo, SirJacket, noms, sammy007, deborah
sammy007: send 1 to Bucket, Roopatra, Crown, Odin, goin2mars, tombot, Veronica, Mooo, SirJacket, noms, deborah
deborah: send 2 to Bucket, Roopatra, Crown, Odin, goin2mars, Erin, tombot, 1 to Veronica, Mooo, SirJacket, noms, Loaf, sammy007
That's a reasonably optimal setup I think.
Edit: To be clear: you don't actually send any SCI now. This is about the SCI you already consumed to be part of this minigame. You just send syksy a message with the above distribution I made for you.
