2.2.7 Our first Rating.

To make things as easy as possible, we start with two players of equal strength. Each of them wins 50 % of the games (See section 2.5.1 Why do Ratings Stagger Around?.). With the rating distribution (See section 2.2.6 The Winning Expectancy..) it is easy to find out that the rating difference between both players is 0.

Ooops. Their ratings are equal. But which ratings do they have? The answer will be given in the next section (See section 2.3 Jackpot: Who Owns 2000 Points?.).

Let now B win one out of three games against A . I.e., the winning expectancy of B is 1/3. Looking up into the table (See section 2.2.6 The Winning Expectancy..) yield a rating difference of 120 points.