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[Ratburntro44]

I hate eigenvalues and eigenvectors ._.

Well, I'm not making you do anything with them.

[necrocat219]

So... high rated people are the ones that give out the highest ratings? Doesn't that create exactly what we don't want? A monopoly? It should be everyone's vote is equal. The only restricting factor there should be is the time a person has been on a forum, as that is a barrier against multiaccounting.

[Ratburntro44]

So... high rated people are the ones that give out the highest ratings? Doesn't that create exactly what we don't want? A monopoly? It should be everyone's vote is equal. The only restricting factor there should be is the time a person has been on a forum, as that is a barrier against multiaccounting.

Think of it like this:

Everyone is equal at the start. Each person has, say, 100 points. Those are given to everyone else in a proportion based on how they rate them; that person gets points from everyone else dividing points to them. Then, as everyone now has a new amount of points, some people are higher than other; the same thing is then done again now. It keeps happening up until infinity, where it approaches a specific set of numbers which are the proper ratings. Luckily, we can just find an eigenvector rather than actually having to do it infinite times.

For example, say we have 8 people: Jim, James, John, Johnny, Jimmy, Jonathan, Jon, and Jimbo. Here are how they each rate each other (ratings are given in same order as names, rating for yourself is automatically 0)

Code: Select all

Jim      : 0,7,6,9,3,5,7,2
James    : 7,0,4,7,9,5,2,6
John     : 6,7,0,5,2,9,7,5
Johnny   : 4,8,9,0,5,8,5,8
Jimmy    : 7,7,8,6,0,9,8,7
Jonathan : 8,5,2,3,1,0,4,2
Jon      : 7,6,5,5,4,8,0,9
Jimbo    : 6,5,6,9,3,2,4,0


These are then divided by the total point each person gave out to make a transition matrix.

Then I want to get the eigenvectors of this matrix:

Code: Select all

  0   7/40 6/41 4/47 7/52 8/25 7/44 6/35
 7/39  0   7/41 8/47 7/52 5/25 6/44 5/35
 6/39 4/40  0   9/47 8/52 2/25 5/44 6/35
 9/39 7/40 5/41  0   6/52 3/25 5/44 9/35
 3/39 9/40 2/41 5/47  0   1/25 4/44 3/35
 5/39 5/40 9/41 8/47 9/52  0   8/44 2/35
 7/39 2/40 7/41 5/47 8/52 4/25  0   4/35
 2/39 6/40 5/41 8/47 7/52 2/25 9/44  0


This gives them the end ratings (approximately):

Code: Select all

Jim      : 128
James    : 124
John     : 106
Johnny   : 124
Jimmy    :  78
Jonathan : 114
Jon      : 102
Jimbo    : 100


If you were to simply add up the number they were given by each person, you would get

Code: Select all

Jim      : 45
James    : 45
John     : 40
Johnny   : 44
Jimmy    : 27
Jonathan : 46
Jon      : 37
Jimbo    : 39


This gives an advantage to Jonathan; however, the people who like the Jonathan the most are the more disliked people (John, Jimmy, Jon). As a result, it may be considered a better system to use the method I am using.

[BeatlesFan]

While I will not be participating in this - Ratburntro44 is correct about this process. The military used a similar concept with ratings of officers.

You could have someone who always rates everyone at 99% and then one day rates someone as 100%. All of those who were rated at 99% think they are great, but the computer system knows that they are "at the bottom" for this rater and only the 100% guy is really on top.

While what he is describing is very different, I suggest the concept is similar.

If you just want to know a pure average, you could just have every "vote" with the same weight. However, Rat's system allows us to know who actually finished on top, middle, and bottom and then give higher weight to those on top and lesser to those on the bottom.

If you want to know if you are likely to get a promotion, it's good to know how middle to upper management views you and not be misled by the fact that while your peers like you management does not.

I know this is a horrible analogy, but his plan makes sense.

[aboad2]

rat can i join ?

[Ratburntro44]

rat can i join ?

Sure.

[jwl1000]

i dont plan to understand this right now
what year will i learn this?
(im doing geometry next)

[guineazilla]

Ok I'll join.

[Ratburntro44]

i dont plan to understand this right now
what year will i learn this?
(im doing geometry next)

This is linear algebra (considered part of Calc 2 where I do math).

Ok I'll join.

Cool.

[Sundancer]

No one likes Jimmy.
Also, can I join?