Individual choice behavior: A theoretical analysis.
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The reward-fitting method follows the Bradley-Terry model for estimating score functions from pairwise preferences and is the specialization of the Luce-Shephard choice rule to preferences over trajectory segments.
“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
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.
“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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Bayesian t tests for accepting and rejecting the null hypothesis
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Elimination by aspects: A theory of choice
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A retrieval model for both recognition and recall.
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“Equation 4 stipulates that sampling obeys a ratio rule (Luce, 1959) in which an image's chance of being sampled is proportional to its net strength to the probe cues.”
BackgroundSWIFT: A Dynamical Model of Saccade Generation During Reading.
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“In this case, target selection probability is proportional to relative lexical activation, which is known as Luce’s (unbiased) choice rule (Luce, 1959).”
BackgroundDiscrete Choice Methods and their Applications to Short Term Travel Decisions
Ben-Akiva, M. E., & Bierlaire, M. (1999) · International series in management science/operations research/International series in operations research & management science · doi:10.1007/978-1-4615-5203-1_2 · Cited by 920 · see citing works
“Models with probabilistic decision rules, like the model proposed by Luce (1959) , or the “elimination b y aspects” a pproach proposed by Tversky (1972), assume a deterministic utility and a probabilistic decision process.”
MethodDistributed representations of structure: A theory of analogical access and mapping.
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BIOGEME: a free package for the estimation of discrete choice models
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SUSTAIN: A Network Model of Category Learning.
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“The Luce (1959) choice rule is conceptually related to this decision rule.”
BackgroundRational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model
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Econometric Models for Probabilistic Choice Among Products
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“The Luce model has been employed for market analysis in economics with reasonable success, notably in transportation planning where it has been used to forecast market penetration of new travel modes (see McFadden [1974; McFadden and Associates 1977]; for a survey of other empirical applications, see McFadden [1976]).”
BackgroundMethodMultialternative decision field theory: A dynamic connectionst model of decision making.
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ECONOMETRIC ANALYSIS OF QUALITATIVE RESPONSE MODELSPreprint
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On the Relationship between iTem Response Theory and Factor Analysis of Discretized Variables
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Neural computations underlying arbitration between model-based and model-free learning
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“Finally, the arbitration model selects actions stochastically according to the following softmax function (Gläscher et al., 2010; Luce, 1959) (the”
MethodThe Value of Privacy Assurance: An Exploratory Field Experiment1
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“Contemporary choice theory assumes that people make choices by maximizing a utility function that is decomposable into multiple contributors (Ben-Akiva and Lerman 1985; Luce 1959; McFadden 1986, 2001).”
BackgroundThe pure theory of large two-candidate elections
Ledyard, J. O. (1984) · Public Choice · doi:10.1007/bf00124816 · Cited by 598 · see citing works
Search Dynamics in Consumer Choice under Time Pressure: An Eye-Tracking Study
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Consumer response to stockouts
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Deep reinforcement learning from human preferences
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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.”
BackgroundMethodDYNAMIC RESPONSE-BY-RESPONSE MODELS OF MATCHING BEHAVIOR IN RHESUS MONKEYS
Lau, B., & Glimcher, P. W. (2005) · Journal of the Experimental Analysis of Behavior · doi:10.1901/jeab.2005.110-04 · Cited by 485 · see citing works
Combining sources of preference data
Hensher, D. A., Louviere, J. J., & Swait́, J. (1998) · Journal of Econometrics · doi:10.1016/s0304-4076(98)00061-x · Cited by 489 · see citing works
“McFadden (1974) extended RUT to the multiple choice case, although fixed (as opposed to random) utility multiple choice models were developed earlier (e.g., Luce, 1959; Restle, 1961; Rushton, 1969).”
MethodOn the possible psychophysical laws.
Luce, R. D. (1959) · Psychological Review · doi:10.1037/h0043178 · Cited by 462 · see citing works
Self-citationUnderstanding brand performance measures: using Dirichlet benchmarks
Ehrenberg, A. S. C., Uncles, M., & Goodhardt, G. J. (2003) · Journal of Business Research · doi:10.1016/j.jbusres.2002.11.001 · Cited by 437 · see citing works
THE STATISTICAL ANALYSIS OF DISCRETE-RESPONSE CV DATAPreprint
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Experimental analysis of choice
Batsell, R. R., & Louviere, J. J. (1991) · Marketing Letters · doi:10.1007/bf02404072 · Cited by 430 · see citing works
Bounded Rationality in Newsvendor Models
Su, X. (2008) · Manufacturing & Service Operations Management · doi:10.1287/msom.1070.0200 · Cited by 415 · see citing works
“The logit choice framework was originally developed by Luce (1959) and McFadden (1981).”
BackgroundMethodReciprocal Effects of Religiosity, Cohabitation, and Marriage
Thornton, A., Axinn, W. G., & Hill, D. H. (1992) · American Journal of Sociology · doi:10.1086/230051 · Cited by 427 · see citing works
Chapter 24 Econometric analysis of qualitative response models
McFadden, D. L. (1984) · Handbook of econometrics · doi:10.1016/s1573-4412(84)02016-x · Cited by 415 · see citing works
“These are multinomial logit models, based on the work of Lute (1959), multinomial probit models, based on the work of Thurstone (1927), and elimination models, based on the work of Tversky (1972).”
BackgroundMethodValue Representations in the Primate Striatum during Matching Behavior
Lau, B., & Glimcher, P. W. (2008) · Neuron · doi:10.1016/j.neuron.2008.02.021 · Cited by 411 · see citing works
“Action-values represent the desirabilities of actions and can be used to make choices ( Luce, 1959; Sutton and Barto, 1998).”
Adolescents’ risk-taking behavior is driven by tolerance to ambiguity
Tymula, A., Rosenberg Belmaker, L. A., Roy, A. K., Ruderman, L., Manson, K., Glimcher, P. W., & Levy, I. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1207144109 · Cited by 387 · see citing works
What You Don't Know About Customer-Perceived Quality: The Role of Customer Expectation Distributions
Rust, R. T., Inman, J. J., Jia, J., & Zahorik, A. J. (1999) · Marketing Science · doi:10.1287/mksc.18.1.77 · Cited by 386 · see citing works
An Experimental Study of Belief Learning Using Elicited Beliefs
Nyarko, Y., & Schotter, A. (2002) · Econometrica · doi:10.1111/1468-0262.00316 · Cited by 396 · see citing works
Chasing a Moving Target: Exploitation and Exploration in Dynamic Environments
Posen, H. E., & Levinthal, D. A. (2011) · Management Science · doi:10.1287/mnsc.1110.1420 · Cited by 382 · see citing works
“Although per March (1996) and Le Mens and Denrell (2011), risk”
BackgroundMethodThe relationship between cohabitation and divorce: Selectivity or causal influence?
Axinn, W. G., & Thornton, A. (1992) · Demography · doi:10.2307/2061823 · Cited by 395 · see citing works
“is the "independence of irrelevant alternatives" assumption discussed by Luce (1959) and more recently by McFadden (1975) as the "red bus-blue bus" problem.”
BackgroundThe representation of economic value in the orbitofrontal cortex is invariant for changes of menu
Padoa‐Schioppa, C., & Assad, J. A. (2007) · Nature Neuroscience · doi:10.1038/nn2020 · Cited by 390 · see citing works
Busemeyer, J. R., & Stout, J. C. (2002) · Psychological Assessment · doi:10.1037/1040-3590.14.3.253 · Cited by 485 · see citing works
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Kumaran, D., & McClelland, J. L. (2012) · Psychological Review · doi:10.1037/a0028681 · Cited by 358 · see citing works
“Choice probabilities were then determined by applying the Luce choice rule (equivalent to the softmax function; Luce, 1959) to the activity values of the relevant units in the response layer (e.g., B and D units in the transitivity task): P 1 ey1/ ey1/ ey2/ , where P(1) is the probability of…”
MethodSeparate value comparison and learning mechanisms in macaque medial and lateral orbitofrontal cortex
Noonan, M. P., Walton, M. E., Behrens, T. E. J., Sallet, J., Buckley, M. J., & Rushworth, M. F. S. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1012246107 · Cited by 340 · see citing works
Beshears, J., Choi, J. J., Laibson, D., & Madrian, B. C. (2008) · Journal of Public Economics · doi:10.1016/j.jpubeco.2008.04.010 · Cited by 362 · see citing works
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“What are the implications when consumers resort to simplifying decision-making heuristics, such as the availability and representativeness heuristics (see Tversky and Kahneman 1974)? What if consumers satisfice instead of optimize (see Simon 1982)? What if consumers are subject to “occasional” optimization errors (see…”
BackgroundDemand Functions in Decision Modeling: A Comprehensive Survey and Research Directions
Huang, J. (2013) · Decision Sciences · doi:10.1111/deci.12021 · Cited by 344 · see citing works
“When there is no leadtime competition, most authors have used the linear model, the Cobb-Douglas model, the multi-nomial logit (MNL) model and the willingness-to-pay model to characterize the leadtime-dependent demand.”
MethodLi, H., & Huh, W. T. (2011) · Manufacturing & Service Operations Management · doi:10.1287/msom.1110.0344 · Cited by 343 · see citing works
“To address this drawback, 2 McFadden (1978, 1980) have generalized the MNL model of Luce (1959) to a Generalized Extreme Value (GEV) model with a nested choice structure, which is also known as the Nested Logit model.”
BackgroundMethodInfluentialWhy most people disapprove of me: experience sampling in impression formation.
Denrell, J. (2005) · Psychology Review · doi:10.1037/0033-295x.112.4.951 · Cited by 296 · see citing works
Variety Seeking Through Brand Switching
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Operant behavior as adaptation to constraint.
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A Nonparametric Approach to Modeling Choice with Limited Data
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“For example, within airline RM, the simulation studies conducted by Belobaba and Hopperstad (1999) on the well known passenger origin and destination simulator (PODS) suggested the value of corrections to the independent demand model; more recently, Ratliff et al. (2008) and Vulcano et al. (2010) have demonstrated val…”
MethodInfluentialStochastic Choice and Consideration Sets
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“It is a simple form of menu independence, alternative to Luce’s IIA (Luce [19]):”
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Assortment Optimization Under Variants of the Nested Logit Model
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The cognitive side of probability learning.
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Inherent Tradeoffs in the Fair Determination of Risk Scores
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“The P(x) likelihoods were normalized using the Luce Choice Axiom in order to yield normalized probability estimates.”
MethodGoal Orientation and Consumer Preference for the Status Quo
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InfluentialPairwise ranking aggregation in a crowdsourced setting
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MethodInfluentialLearning as accumulation: A reexamination of the learning curve.
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Neuroeconomic Foundations of Economic Choice—Recent Advances
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“This could be modeled with something like the Luce-choice rule (Luce, 1959), which includes a temperature parameter controlling how “winner-take-all” the decision is.”
MethodDistinguishing among models of contextually induced preference reversals.
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“He demonstrated that including SA in the choice set reduced choices disproportionately more for A than for B, violating independence from irrelevant alternatives (Luce, 1959).”
BackgroundThe multiattribute linear ballistic accumulator model of context effects in multialternative choice.
Trueblood, J. S., Brown, S. D., & Heathcote, A. (2014) · Psychological Review · doi:10.1037/a0036137 · Cited by 272 · see citing works
“One study that has explored this issue was an episodic memory experiment conducted by Maylor and Roberts (2007), which demonstrated both attraction and similarity effects. There is also little experimental work examining context effects in low-level tasks. Choplin and Hummel (2005) found the attraction effect with ova…”
BackgroundTrueblood, J. S., Brown, S. D., Heathcote, A., & Busemeyer, J. R. (2013) · Psychological Science · doi:10.1177/0956797612464241 · Cited by 266 · see citing works
“This challenge extends to the ratio-of-strengths rule, signal detection models, and other choice models that satisfy simple scalability (Luce, 1959; Medin & Schaffer, 1978; Nosofsky, 1986).”
BackgroundSNIF-ACT: A Cognitive Model of User Navigation on the World Wide Web
Fu, W., & Pirolli, P. L. T. (2007) · Human-Computer Interaction · doi:10.1080/07370020701638806 · Cited by 283 · see citing works
“First, as with other well-known choice equations in psychology (eg, Luce, 1959 ; Thurstone, 1927 ), the choice of a particular link n is conditional on the utilities of other links.”
Dopamine prediction error responses integrate subjective value from different reward dimensions
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Optimization Incentives and Coordination Failure in Laboratory Stag Hunt Games
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Stochastic Choice and Preferences for Randomization
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Nontransitive preferences in decision theory
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Survey of decision field theory
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“For example, the Luce (1959) choice model is a member”
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Constrained Assortment Optimization for the Nested Logit Model
Gallego, G., & Topaloğlu, H. (2014) · Management Science · doi:10.1287/mnsc.2014.1931 · Cited by 251 · see citing works
Identifying and Quantifying Multisensory Integration: A Tutorial Review
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“FLMP utilizes a formula similar to Luce’s choice rule (Luce 1959) to describe how auditory and visual cues are combined.”
MethodToscano, J. C., & McMurray, B. (2010) · Cognitive Science · doi:10.1111/j.1551-6709.2009.01077.x · Cited by 235 · see citing works
“The model was presented with a pair of VOT and VL values, and identification responses were computed from the posterior probability for each category, which were then normalized using the Luce choice rule (Luce, 1959; temperature = 1) to obtain the proportion of ⁄ p ⁄ responses.”
MethodJoint Dynamic Pricing of Multiple Perishable Products Under Consumer Choice
Akçay, Y., Natarajan, H. P., & Xu, S. H. (2010) · Management Science · doi:10.1287/mnsc.1100.1178 · Cited by 220 · see citing works
Modelling Recreation Demand Using Choice Experiments: Climbing in Scotland
Hanley, N. D., Wright, R. E., & Koop, G. M. (2002) · Environmental and Resource Economics · doi:10.1023/a:1016077425039 · Cited by 240 · see citing works
“Climbing in Scotland”
BackgroundStated preference and choice models applied to recreation research: A review
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Thed-Level Nested Logit Model: Assortment and Price Optimization Problems
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Diagnostic hypothesis generation and human judgment.
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“The probability that a hypothesis is sampled from this set is determined by its activation relative to the activation of all other hypotheses in semantic memory with positive activation (cf. Luce’s choice axiom; Luce, 1959).”
BackgroundDeterminants of household energy use in Bhutan
Rahut, D. B., Das, S., Groote, H. D., et al. (2014) · Energy · doi:10.1016/j.energy.2014.03.062 · Cited by 226 · see citing works
“The relative odds of one alternative being chosen over a second should be independent of the presence or absence of an un-chosen third alternative [42].”
BackgroundEconomics and Psychology: Lessons For Our Own Day From the Early Twentieth Centuly
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Introduction to Attribute-Based Stated Choice Methods
Adamowicz, W., Louviere, J. J., & Swait́, J. (1998) · Cited by 219 · see citing works
Prediction in Marketing Using the Support Vector Machine
Cui, D., & Curry, D. J. (2005) · Marketing Science · doi:10.1287/mksc.1050.0123 · Cited by 219 · see citing works
The derivation of subjective scales from just noticeable differences.
Luce, R. D., & Edwards, W. (1958) · Psychological Review · doi:10.1037/h0039821 · Cited by 215 · see citing works
Self-citationWeber, E. U., Böckenholt, U., Hilton, D., & Wallace, B. (1993) · Journal of Experimental Psychology Learning Memory and Cognition · doi:10.1037/0278-7393.19.5.1151 · Cited by 235 · see citing works
“In analogy to Luce's (1959) pairwise choice model, which assumes that choice between two alternatives is a probabilistic function of the alternatives' selection strength, the ranking model assumes that the rank order in which diagnoses are generated (e.”
MethodPerceptual-cognitive universals as reflections of the world
Shepard, R. N. (2001) · Behavioral and Brain Sciences · doi:10.1017/s0140525x01000012 · Cited by 209 · see citing works
Lee, M. K., Kusbit, D., Kahng, A., Kim, J. T., Yuan, X., Chan, A., See, D., Noothigattu, R., Lee, S., Psomas, A., et al. (2019) · Proceedings of the ACM on Human-Computer Interaction · doi:10.1145/3359283 · Cited by 217 · see citing works
Transfer Program Complexity and the Take-Up of Social Benefits
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“Many Bayesian models make the assumption that this is how people select responses, based on a long tradition of behavioral models of choice (e.g., Luce, 1959).”
BackgroundA crowdsourceable QoE evaluation framework for multimedia content
Chen, K.-T., Wu, C., Chang, Y.-C., & Lei, C. (2009) · ACM International Conference on Multimedia (ACM MM) · doi:10.1145/1631272.1631339 · Cited by 192 · see citing works
“One of the most widely used models for this purpose is the Bradley-Terry-Luce (BTL) model [6,27], which predicts P ij , the probability of choosing T i over T j , as a function associated with the “true” ratings of the two quality levels: where u ( T i ) = log π ( T i ) is the estimated QoE score…”
MethodSTIMULI, REINFORCERS, AND BEHAVIOR: AN INTEGRATION
Davison, M., & Nevin, J. A. (1999) · Journal of the Experimental Analysis of Behavior · doi:10.1901/jeab.1999.71-439 · Cited by 195 · see citing works
Substitutability and similarity in binary choices
Tversky, A., & Russo, J. E. (1969) · Journal of Mathematical Psychology · doi:10.1016/0022-2496(69)90027-3 · Cited by 194 · see citing works
Modeling market mechanism with minority game
Challet, D., Matteo Marsili, A., & Zhang, Y. (2000) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(99)00446-x · Cited by 187 · see citing works
“More generally one can consider a probabilistic choice rule – the so called Logit model [11] – such that P (si(t) = s) ∝ exp[ΓUs,i(t)], (see [12,6,7]).”
BackgroundContext, scale structure, and statistics in the interpretation of positive-form adjectives
Lassiter, D., & Goodman, N. D. (2013) · Proceedings from Semantics and Linguistic Theory · doi:10.3765/salt.v23i0.2658 · Cited by 200 · see citing works
Bayesian Inference for Finite Mixtures of Generalized Linear Models with Random Effects
Lenk, P., & DeSarbo, W. S. (2000) · Psychometrika · doi:10.1007/bf02294188 · Cited by 186 · see citing works
“Both the logit and probit models can be derived from random utility models (Luce, 1959; and McFadden, 1974) with the same deterministic component and different error structures.”
MethodRent Seeking with Bounded Rationality: An Analysis of the All‐Pay Auction
Anderson, S. P., Goeree, J. K., & Holt, C. A. (1998) · Journal of Political Economy · doi:10.1086/250031 · Cited by 185 · see citing works
- 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 › Safety Research › Experimental Behavioral Economics Studies
- Keywords
- decision-making, choice theory, consumer behavior, utility maximization
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