Unformatted text preview: y . Or confusion such as: ¤ I both prefer x over y and y over x . ¤ I can’t concentrate right now. The constraints that we place on the legal responses of the agents constitute our implicit assumptions. Particularly important are the assumptions that the elements in the set X are all comparable, that the individual has an opinion about all elements in the set X and that we do not allow him to specify the intensity of preferences. A legal answer to the questionnaire can be formulated as a function f which assigns to any pair ( x , y ) of distinct elements in X exactly one of the three “values”: x Â y or y Â x or I , with the interpretation that f ( x , y ) is the answer to the question Q ( x , y ) . (Alternatively, we can use the terminology of the soccer “betting” industry and say that f ( x , y ) must be 1, 2, or × with the interpretation that...
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 Fall '10
 aswa
 Binary relation

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