Semiorders and a Theory of Utility Discrimination

By R. Duncan Luce. 1956

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Citations in the corpus

Dimension integration: Testing models without trade-offs (2008, background): “81 Luce (1956) proposed a semi-order representation to 82 describe preference behavior in which items that differ 83 by small increments in utility are treated as indifferent.”
Implicit versus Explicit Comparatives (2011, unknown): “As already shown by Luce (1956), this unique strict weak order ‘ > P ’ can be deﬁned as follows: x > P y iﬀ def ∃ z : ( x ∼ P z ∧ z P y ) ∨ ( x P z ∧ z ∼ P y ).”
Heuristic decision making. (2011, unknown): “Luce (1956), Tversky (1972), Dawes (1979), and others studied models of heuristics, such as lexicographic rules, elimination-by-aspect, and equal-weight rules.”
Testing for intransitivity of preferences predicted by a lexicographic semi-order (2007, background): “(Luce, 1956) has the property that small differences are responded to as if there were no difference.”
Theory Of Decision Under Uncertainty (2009, background): “Intransitive indifference Motivated by Weber’s law, Luce (1956) suggested to apply the same logic to the measurement of utility.”
Inferences under time pressure: how opportunity costs affect strategy selection. (2008, background): “LEX-Semi Lexicographic semi-order ( Luce, 1956 ) works like LEX, with the additional assumption of a negligible difference.”
Rough sets theory for multicriteria decision analysis (2001, background): “The abandon of the transitivity requirement is easily justiﬁable, remembering – for example – Luce’s paradox of the cups of tea (Luce, 1956).”
Noncompensatory/nonlinear composite indicators for ranking countries: a defensible setting (2009, background): “Its origins may be found in the famous bald paradox in Greek philosophy: how many hairs one has to cut off to transform a person with hairs to a bald one? Luce ( 1956 ) was the first one to discuss this issue formally in the framework of preference modelling.”