Ruling Ratings Question

D

Draekfist

I pwn noobz
Member
I read over the few paragraphs on Go-Pokemon.com about how ratings are calculated, and it seems a bit confusing. I was trying to see if the tournament organizer got it right when he input the ratings.

Let's say that player A has a rating of 1600.00 and beats player B with a rating of 1609.86. How many points should player A earn.
 
easy to figure out actually

Win rate

1 / [1 + 10 ^ ((Opponent’s Rating - Your Rating) / 400)]

so using your values

1/[1+10^((1609.86 - 1600.00)/400)]
1/[1+10^(9.86/400)]
1/[1+10^0.02465]
1/[1+1.0584004114252380649117721317703]
1/2.0584004114252380649117721317703
~0.48581412753779970970819301003084

player A (1600.00) should win about 48.58% of the time and player B (1609.86) should win 51.42% of the time.

Stake = k-value * (Outcome – Win Expectancy)

So, using Battle Roads as an example
Stake = 4*(outcome - Win expectancy)

Whoever wins determines what numbers we plug in.

Lets say player A wins (1600)

Stake = 4*(1-.4858)
stake = 4*.5142
stake = 2.0568

player A would gain 2.0568 points, and player B would lose that same amount.

If player B wins, then we do this formula

Stake = 4*(1-.5142)
stake = 4*.4858
stake = 1.9432

Player B would gain 1.9432 points, and player A would lose that amount.

Make sence now?

please ask if it doesnt and I will help clarify things.

~Duke
 
??? Why didn't OP make it easier??? This is so confusing, I know Algebra II as a Frosh. but why these numbers? Why not integers and whole #'s? This is pretty crazy :)
 
Because, if it was whole numbers, then our rating would be like

175049300000000000000000

Just to prevent decimals.
Besides, the algorithm makes plenty sense to me.
 
T-Tar Master said:
??? Why didn't OP make it easier??? This is so confusing, I know Algebra II as a Frosh. but why these numbers? Why not integers and whole #'s? This is pretty crazy :)
Click to expand...

POP didn't make it up. They are using the Elo rating system.

Elo is a well-established system for determining player rankings in tests of skill. It was used for many years to calculate worldwide ratings in competitive chess (although the major chess sanctioning organizations have since moved on to other systems that produce more accurate results for chess).

While Elo is less perfect for games that involve an element of chance, it has still found wide use in this realm as well. DCI has been using it for Magic: The Gathering and other TCGs since its inception. That is where Pokemon picked it up (when Pokemon was controlled by WotC and DCI), and while other systems have been proposed, none of them have been compelling enough to change. Elo does the job well enough.
 
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