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Individual choice behavior: A theoretical analysis.
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“This follows the Bradley-Terry model (Bradley and Terry, 1952) for estimating score functions from pairwise preferences, and is the specialization of the Luce-Shephard choice rule (Luce, 2005; Shepard, 1957) to preferences over trajectory segments.”
From Deep reinforcement learning from human preferences (2017) · cites this paper as Luce, 2005
In the citing paper
“Research into human choice suggests that both explicit and implicit choices systematically vary based on context, especially the other options that are present when choosing [56–59].”
From Evolution and impact of bias in human and machine learning algorithm interaction (2020) · cites this paper as [56]
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“Logit models from the discrete choice family naturally model such relational events as ‘choices’ (McFadden & Zarembka 1974; Luce 2012).”
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“At the formal level, the process of selecting an action in reinforcement learning is often implemented using a Softmax function (Luce 2005).”
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“The most popular ones include Plackett-Luce model [20, 15], Mallows model [16], and Bradley-Terry model [2, 10].”
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“D rirj can be acquired using a similarity choice model (Luce, 1963, 2005), an overlap model (Townsend, 1971; Townsend & Landon, 1982), or the constant ratio rule (Clarke, 1957; Clarke & Anderson, 1957), which is used in the present study.”
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“This principle, called independence of irrelevant alternatives (IIA) (Luce 1959), is essentially equivalent to the value maximization (VM) principle which is based on single scale (utility) value assumption (cf.”
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“The constant ratio rule derived from Luce’s (1959) choice axiom makes good predictions for the second choice response probabilities.”
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“They applied the Condorcet [25], the Bradley-Terry [26], the Plakket-Luce [27], [38], and the MPM [29] on the LETOR 4.”
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“…is deleted from the choice set (brand A), the IIA assumption implies a proportional distribution on the remaining brands (brand B, C and D) (Luce, 1959), i.e. 3 If we assume that the research sample is representative for the market, the choice share would be identical with the market share…”
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“A popular example, known as Luce’s rule [Luce, 1959], uses sampling probabilities πi,k “ pSk,i _ αq N K ÿ l“1 pSl,i _ αq, (2.5) where α ě 0 is a tuning parameter governing the amount of baseline exploration.”
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“There is one recent study [12] that adopts a similar philosophy, which extends the Bradley-Terry model, a pairwise special case of the Plackett-Luce model [22], [23].”
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“The Bradley-Terry-Luce Model One popular probabilistic model for pairwise comparisons is the Bradley-TerryLuce (BTL) model (Bradley and Terry, 1952; Luce, 1959).”
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“…logistic regression model to a special case for pairwise probability estimates, known as the Bradley-Terry-Luce model (Bradley & Terry, 1952; Luce, 2005), where the probability hw is the following: hw(u, v) = p(u > v) = ewu ewu + ewv = ewu−wv 1 + ewu−wv (7.3) where wu and wv are the…”
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“Here we describe the version of the model as introduced by Luce (1959), Plackett (1975). This is a parametric model with N positive valued parameters, one each associated with each of the N items.”
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“In [9, 39], the pairwise comparison theory (also called Bradley-TerryLuce (BTL) model) widely used in study the preference in decision making was introduced.”
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Metadata
- Authors
- Luce, R. D.
- Affiliations
- University of California, Irvine (US)
- Corresponding author
- Luce, R. Duncan
- Venue
- Dover Publications eBooks
- Publisher
- Dover Publications
- Published
- 2005
- OpenAlex
- W2094536313
- Cited by
- 1,157
- References
- 0
- Citations by year
- 2026: 5 · 2025: 14 · 2024: 18 · 2023: 36 · 2022: 27 · 2021: 55 · 2020: 43 · 2019: 51 · 2018: 45 · 2017: 35 · 2016: 48 · 2015: 81 · 2014: 74 · 2013: 68 · 2012: 53
- FWCI
- 20.89
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Dover Publications eBooks (publishedVersion)
- Funders
- National Science Foundation (NSF-G2803)
- Office of Naval Research (G-4506)
- Topics
- Social Sciences › Decision Sciences › General Decision Sciences › Decision-Making and Behavioral Economics
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Economic Theory and Institutions
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Experimental Behavioral Economics Studies
- Keywords
- decision-making, choice theory, consumer behavior, utility maximization
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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