A tournament is a finite set whose elements are called players, together with a binary relation called beating which is complete and asymmetric. A ranking of the players is an order-relation on the set of players. A ranking method is a function from the set of tournaments to the set of possible rankings. The ranking method commonly known as the “points system” is characterized by a set of axioms.
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Ariel Rubinstein (1980) studied this question.
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