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Browder Calculates Balance, Overturns Mathematics - Page 2

Blogs > jdseemoreglass
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arsenic
Profile Joined January 2009
United States163 Posts
November 11 2011 06:00 GMT
#21
Hilarious.
Fuhrmaaj
Profile Joined January 2011
167 Posts
November 11 2011 07:14 GMT
#22
Overall it was pretty funny and 5/5.

As I was telling Dusty at Blizzcon (or D-Brow, as his friends prefer to call him), he actually does have three equations: one for each race.

ax^(1+k) + by = r

a = coefficient of skill (amount of skill that the game should be balanced on)
b = coefficient of balance (amount of skew in game design towards racial balance)
x = player skill
y = racial balance
k = constant which describes how players of higher skill can better exploit their race
r = actual win ratio

He has a y and r for each race, and an x for each player. You can determine relative skill against players of the same race and use ratios to solve for y. In his equation, 0<x<4 and 0<y<20/3 but I'm not sure if I agree with the constants he chose. Hopefully he sees this.

Hey, what was that equation you stuck on? It looks like particle physics or something. I don't know how useful that will be for game balance
Random player
The_Templar
Profile Blog Joined January 2011
your Country52798 Posts
November 11 2011 13:43 GMT
#23
Genius, good sir.


y=5, x=1.
ModeratorI am still alive, somehow
TL+ Member
Hesmyrr
Profile Blog Joined May 2010
Canada5776 Posts
November 11 2011 14:34 GMT
#24
Earthbreaking blog. 5/5
"If watching the MSL finals makes you a progamer, then anyone in Korea can do it." - Ha Tae Ki
darmousseh
Profile Blog Joined May 2010
United States3437 Posts
Last Edited: 2011-11-11 16:34:44
November 11 2011 16:28 GMT
#25
I've researched this problem and commented a few months ago. Mmr is a function of both mean and deviation and its possible to determine the value of each race if you can isolate certain variables. Send me a pm and ill send you more information on the math.

Edit; its called bayesian appriximation. You can read about it in this link.
http://jmlr.csail.mit.edu/papers/volume12/weng11a/weng11a.pdf
Developer for http://mtgfiddle.com
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