Elo Rating System: Explaining Statistic Details

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who can explain me the statistical details under the elo rating system? in particular why the expeted value rapresent the score of the game. thanx
 
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zli034 said:
Good to know, Elo's assumption is based on normal distribution as well.
Details here:
http://en.wikipedia.org/wiki/Elo_rating_system

i know this reference. the question is why the expected value is compared with the score of a player. really i can't understand the logic behind this.
 
if I have a score higher than the expectation of my performance, you can infer I'm doing better than my early plays. then I should gain higher rank.
 
zli034 said:
if I have a score higher than the expectation of my performance, you can infer I'm doing better than my early plays. then I should gain higher rank.

yes i know this tale. the question is a little different. the expected score is the probability of win and half the probability of draw. and so question is why this probability is compared with the actual score?