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Advice for Leaderboard players on how a relative weighted ranking algorithm scoring system works
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7/15/2019 Leaderboard Relative Weighted Ranking Algorithm
http://slidepdf.com/reader/full/leaderboard-relative-weighted-ranking-algorithm 1/3
Leaderboarded Relative Weighted Ranking Algorithm A prim er fo r le aderboar d playe rs
Leaderboarded uses an advanced ranking formula when calculating your
leaderboard score.
This advanced formula brings benefits by reducing the bias of simpler
leaderboards. It makes the overall leaderboard fairer by discounting player
scores which are outliers. It also means the winners of the leaderboard are those
who are a “rounded player”, doing well in many areas, rather than over-focusingon just one way to score to points.
Players are ranked according to how well they do against peers in each points
category (“metric”). Then this is weighted with other metrics to create a total
score out of 100.
One way to think of it is as there being a “pie” of 100 possible points. Each metric
is worth a number of points. Being top in that metric gives you all the possible
points, while being second gives you 95% of them.
So if a metric is worth 20 points and there are 10 people on the leaderboard, the
top ranked player will get all 20 points, the second will get 18 points, the third 16
and so on.
The leaderboard manager decides how points are allocated for each metric - the
‘weighting’. If one metric has 50% of the weighting then that will account for
50% of the points. Managers may choose to keep this secret from the players to
reduce ‘gaming’ of the system.
Worked ExampleIn a cooking competition, for example, we might seek to measure three metrics:
- Cleanliness - how clean the kitchen is at the end
- Cost - how cost effective were the ingredients were used
- Taste - how good the food tastes
The manager would allocate weighting according to the agreed priorities. Most
would agree that how good the food tastes is of most important so in our
example above, the manager allocates weighting as follows:
- Cleanliness – 15- Cost – 30
7/15/2019 Leaderboard Relative Weighted Ranking Algorithm
http://slidepdf.com/reader/full/leaderboard-relative-weighted-ranking-algorithm 2/3
- Taste – 55- Total = 100
Now, let us imagine we have two chefs, each competing for the award:
Let’s say the first chef beats the second chef at Cleanliness and Cost but loses on
Taste as follows.
Chef Cleanliness Cost Taste
Chef 1 1st 1st 2nd
Chef 2 2nd 2nd 1st
Each player gets a percentage of the number of points depending on their rank
for that specific variable.
With two players, the top player gets 100% of the points, the second playerscores 50% of the points. The table below shows how this changes when you
have more players.
Player / Number
of players
2 players 3 players 100 players
Top player 100% 100% 100%Second player 50% 66% 99% Third player n/a 33% 98%
Last player n/a n/a 1%
So, when we apply this to our Chefs we get an outcome on the leaderboard as
follows:
7/15/2019 Leaderboard Relative Weighted Ranking Algorithm
http://slidepdf.com/reader/full/leaderboard-relative-weighted-ranking-algorithm 3/3
Chef 2 beats player 1 because his combined composite index (77.5) is higher
than Chef 2’s (72.5).
What does this mean for you as a player?1. Your score is never zero – you get something for just taking part.
2. Even if another player appears to be far and away at the top, in one metric,
you can still reach them by beating them in other metrics. Especially if the
other metrics are weighted more heavily.
3. It’s better to do reasonably well in all metrics rather than focus on just
one.
4. It’s better to focus on doing the right things, rather than trying to figure
out how to beat the system and game the leaderboard.