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Fuzzy set theory has been explicitly introduced to deal with vagueness and ambiguity. One can also use probability theory or techniques borrowed from philosophical logic. In this chapter, we consider fuzzy preferences and we survey the literature on aggregation of fuzzy preferences. We restrict...
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Transitivity is perhaps the most fundamental choice axiom and, therefore, almost all economic models assume that … preferences are transitive. The empirical literature has regularly documented violations of transitivity, but these violations … deterministic part of individuals' preferences. However, what if transitivity violations reflect individuals' genuinely …
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Several experimental studies have observed substantial violations of transitivity for decisions between risky lotteries … for generating violations of transitivity. Since we find neither substantial nor systematic deviations from transitive …
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We propose the concept of level r consensus as a useful property of a preference profile which considerably enhances the stability of social choice. This concept involves a weakening of unanimity, the most extreme form of consensus. It is shown that if a preference profile exhibits level r...
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between transitivity (of preferences) and the choice-relevant similarities between options. …
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