Mathematics of chess rating

Loh, Mei Wah (2007) Mathematics of chess rating. Universiti Malaysia Sabah. (Unpublished)


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Chess is an abstract strategy board game designed for two player and chess is a game with rating which indicates the playing strength of a player. Chess rating consist of numbers which represent a person's playing ability. There are numerous rating system which are Ingo system, Edo rating system, Elo system, Sonas system and Glicko rating system. Rating is one of the aspects that make the game of chess interesting and because of this ratings need to be as accurate as possible. The main objective of this study is to compare and to choose a more accurate alternative rating system, between Sonas rating system and Glicko rating system, besides the existing Elo rating system that are used by chess federations. The existing rating for the selected players, which are Elo rating will be set as the standard rating. Sonas rating and Glicko rating will therefore be compared against Elo rating. Data for this research were obtained from World Chess Federation (FIDE) official website, which consists of information on the selected world's top five professional chess players. Three calculations on the formulas were done on the five top players, which are Elo rating formula using new Elo table as proposed by Alliot J. M., Sonas rating formula and Glicko rating formula. The results obtained were summarized into graphs using Microsoft Office Excel 2003 and the graphs shows that Glicko rating formula produces ratings that are closest to Elo rating. Ratings calculated from Sonas rating formula were inconsistent and the difference between Sonas rating and Elo rating is very large. In contrast, the difference between Glicko rating and Elo rating are small. Therefore, it is concluded that Glicko rating formula is the preferred rating system, other than Elo rating formula.

Item Type: Academic Exercise
Uncontrolled Keywords: chess, board game, Ingo system, Edo rating system, Elo system, Sonas system, Glicko rating system, World Chess Federation
Subjects: Q Science > QA Mathematics
Divisions: SCHOOL > School of Science and Technology
Date Deposited: 10 Feb 2014 07:52
Last Modified: 11 Oct 2017 05:18

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