Mad Robin/Season 22

The buttons for Season 22 were chosen from the new set: Peloton set.


 * : c(4) d(8) %(10) h(10) (X)
 * : c(4) M(8) ^(10) k(10) (X)
 * : n(4) f(8) s(10) z(20) (X)
 * : H(4) %(8) f(10) d(10) (X)
 * : f(4) k(8) H(10) G(10) (X)
 * : k(4) s(8) g(10) M(10) (X)
 * : g(4) G(8) c(10) H(10) (X)
 * : d(4) s(8) z(10) h(10) (X)

For discussions of this season, see the in the.

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Preference lists
Buttons are assigned by a least-squares method, such that the sum of the squares of the preference rankings of the buttons is minimized (1 point for first choice, 4 points for second, etc).

Only three unique first choices, and only five in the collective top two, so someone's getting their third pick... Luckily only one person, with two seconds and three firsts.

20 total points.

Matches
Each game is listed twice, once in each player's row; the scores in the row for the player, and the background color (green for a win, red for a loss), are from that player's perspective.

Standings
The standings are determined by percentage of games won, with ties broken by head-to-head results (among the tied players), or total percentage of rounds won.

Preference lists
Buttons are assigned by a least-squares method, such that the sum of the squares of the preference rankings of the buttons is minimized (1 point for first choice, 4 points for second, etc).

Only three unique first choices, but six in the collective top two -- but two of those six only appear on the same person's list, so the best we can do is three firsts, two seconds, and a third, and I flipped a coin between the two options there.

20 total points.

Matches
Each game is listed twice, once in each player's row; the scores in the row for the player, and the background color (green for a win, red for a loss), are from that player's perspective.

Standings
The standings are determined by percentage of games won, with ties broken by head-to-head results (among the tied players), or total percentage of rounds won.

Preference lists
Buttons are assigned by a least-squares method, such that the sum of the squares of the preference rankings of the buttons is minimized (1 point for first choice, 4 points for second, etc).

Five unique first choices! And even in the collectively top two; but unfortunately, the two players who had the same first choice (Doyle) also had the same second choice (Floriano), and the player who put Floriano first also put Doyle second, so any solutions that involve people getting their second choice are worse. Fortunately, both of the D - F players had a unique third choice; I flipped a coin between them.

14 total points.

Matches
Each game is listed twice, once in each player's row; the scores in the row for the player, and the background color (green for a win, red for a loss), are from that player's perspective.

Standings
The standings are determined by percentage of games won, with ties broken by head-to-head results (among the tied players), or total percentage of rounds won.

Preference lists
Buttons are assigned by a least-squares method, such that the sum of the squares of the preference rankings of the buttons is minimized (1 point for first choice, 4 points for second, etc).

Everybody loves Doyle! With only five buttons in the collective top two, at least one person's getting their third choice; but indeed, only one, with two firsts and three seconds.

23 total points.

Matches
Each game is listed twice, once in each player's row; the scores in the row for the player, and the background color (green for a win, red for a loss), are from that player's perspective.

Standings
The standings are determined by percentage of games won, with ties broken by head-to-head results (among the tied players), or total percentage of rounds won.

Preference lists
Buttons are assigned by a least-squares method, such that the sum of the squares of the preference rankings of the buttons is minimized (1 point for first choice, 4 points for second, etc).

Four unique first choices, but the two with the same first choice also had someone else's first choice as their second choice (and the same someone else), so there's no way to do four firsts and a second or even three firsts and two seconds, the best option is four firsts and a third.

13 total points.

Matches
Each game is listed twice, once in each player's row; the scores in the row for the player, and the background color (green for a win, red for a loss), are from that player's perspective.

Standings
The standings are determined by percentage of games won, with ties broken by head-to-head results (among the tied players), or total percentage of rounds won.

Preference lists
Buttons are assigned by a least-squares method, such that the sum of the squares of the preference rankings of the buttons is minimized (1 point for first choice, 4 points for second, etc).

Everyone gets their first choice, yay.

4 total points.

Matches
Each game is listed twice, once in each player's row; the scores in the row for the player, and the background color (green for a win, red for a loss), are from that player's perspective.

Standings
The standings are determined by percentage of games won, with ties broken by head-to-head results (among the tied players), or total percentage of rounds won.

Head to head
Each game is listed twice, once in each button's row; the scores in the row for the button, and the background color (green for a win, red for a loss) are from that button's perspective.

Standings
The standings are determined by percentage of games won, with ties broken by total percentage of rounds won.

The "pop" column is an approximation of each button's popularity: The score is the sum of of the squares of the inverse of the positions times the number of people who put them in that position, so 64 points for each person who put them first, 49 points for each second, 36 points for each third, and so on, and higher numbers mean more popular. The numbered columns are how many people put them in those positions.