Condorcet Method with Weakly Rational Decision Makers: A Case Study in the Formula 1 Constructors' Championship

Abstract The ordinal methods are widely used to establish rankings in sports competitions because sporting results are on an ordinal scale. However, these methods assume that the decision maker is highly rational and provide a full ranking. This paper analyses the case in which the decision maker is weakly rational. In this case, the decision maker respects the transitivity of preferences but not indifference. It also shows how to adapt the Condorcet method to deal with this situation, using the results of the 2013 Formula 1 Constructors’ World Championship.

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