Abstract
a−b≺* c−d is taken to mean that ‘your’ degree of preference for a over b is less than ‘your’ degree of preference for c over d. Various properties of the strength-of-preference comparison relation ≺* are examined along with properties of simple preferences defined from ≺*. The investigation recognizes an individual's limited ability to make ‘precise’ judgments. Several utility theorems relating a−b ≺* c−d to u(a)−u(b)<u(c)−u(d) are included.
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Fishburn, P.C. Utility theory with inexact preferences and degrees of preference. Synthese 21, 204–221 (1970). https://doi.org/10.1007/BF00413546
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DOI: https://doi.org/10.1007/BF00413546