R. Duncan Luce | Academic Influence

R. Duncan Luce's AcademicInfluence.com Rankings

R. Duncan Luce

Psychology

#63

World Rank

#132

Historical Rank

#46

USA Rank

Mathematical Psychology

#1

World Rank

#1

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#1

USA Rank

psychology Degrees

R. Duncan Luce

Mathematics

#365

World Rank

#754

Historical Rank

#173

USA Rank

Measure Theory

#97

World Rank

#156

Historical Rank

#47

USA Rank

mathematics Degrees

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Psychology
Mathematics

R. Duncan Luce's Degrees

PhD Psychology Columbia University
Bachelors Mathematics University of California, Berkeley

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Why Is R. Duncan Luce Influential?

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According to Wikipedia, Robert Duncan Luce was an American mathematician and social scientist, and one of the most preeminent figures in the field of mathematical psychology. At the end of his life, he held the position of Distinguished Research Professor of Cognitive Science at the University of California, Irvine.

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R. Duncan Luce's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Individual Choice Behavior (1959) (2515)
Simultaneous conjoint measurement: A new type of fundamental measurement (1964) (1881)
Semiorders and a Theory of Utility Discrimination (1956) (1018)
Contemporary Developments in Mathematical Psychology (1976) (678)
The Choice Axiom after Twenty Years (1977) (532)
Utility of Gains and Losses: Measurement-Theoretical and Experimental Approaches (2000) (450)
On the possible psychophysical laws. (1959) (411)
Rank- and sign-dependent linear utility models for finite first-order gambles (1991) (331)
A threshold theory for simple detection experiments. (1963) (295)
A neural timing theory for response times and the psychophysics of intensity. (1972) (248)
The effect on the preference-reversal phenomenon of using choice indifferences (1990) (220)
The derivation of subjective scales from just noticeable differences. (1958) (209)
Foundations of Measurement, Vol. III: Representation, Axiomatization, and Invariance (1990) (207)
Classification of concatenation measurement structures according to scale type (1985) (182)
Operant matching is not a logical consequence of maximizing reinforcement rate (1979) (170)
Foundations of measurement (1971) (161)
Variability and sequential effects in cross-modality matching of area and loudness. (1980) (153)
Sequential effects in judgments of loudness. (1977) (150)
The bow and sequential effects in absolute identification (1982) (146)
Variability and sequential effects in magnitude production and estimation of auditory intensity (1977) (144)
Four tensions concerning mathematical modeling in psychology. (1995) (143)
Evidence from auditory simple reaction times for both change and level detectors (1982) (140)
Rank- and sign-dependent linear utility models for binary gambles (1991) (135)
Attention bands in absolute identification (1976) (130)
Additive and Polynomial Representations (2014) (126)
Measurement, scaling, and psychophysics. (1988) (126)
An axiomatic theory of conjoint expected risk (1986) (123)
Effects of stimulus complexity on mental rotation rate of polygons. (1987) (121)
Two tests of a neural attention hypothesis for auditory psychophysics (1978) (121)
A PROBABILISTIC THEORY OF UTILITY (1958) (119)
Choice, Decision, and Measurement: Essays in Honor of R. Duncan Luce (1997) (119)
MAGNITUDE ESTIMATION OF HEAVINESS AND LOUDNESS BY INDIVIDUAL SUBJECTS: A TEST OF A PROBABILISTIC RESPONSE THEORY1 (1965) (116)
Whatever Happened to Information Theory in Psychology? (2003) (115)
Conditional Expected Utility (1971) (113)
Measurement: The theory of numerical assignments. (1986) (113)
A note on deriving rank-dependent utility using additive joint receipts (1995) (112)
Thurstone's discriminal processes fifty years later (1977) (111)
What sort of measurement is psychophysical measurement? (1972) (110)
Some experiments on simple and choice reaction time. (1967) (105)
Several possible measures of risk (1980) (104)
Measurement Scales on the Continuum (1987) (102)
Reduction Invariance and Prelec's Weighting Functions. (2001) (101)
Several unresolved conceptual problems of mathematical psychology (1997) (94)
Rank-dependent, subjective expected-utility representations (1988) (88)
Individual magnitude estimates for various distributions of signal intensity (1980) (76)
Dimensionally Invariant Numerical Laws Correspond to Meaningful Qualitative Relations (1978) (73)
Effects of practice and distribution of auditory signals on absolute identification (1977) (72)
Where Does Subjective Expected Utility Fail Descriptively (1989) (72)
Detection of auditory signals presented at random times: III (1967) (71)
Rational versus Plausible Accounting Equivalences in Preference Judgments (1990) (70)
What common ground exists for descriptive, prescriptive, and normative utility theories? (1994) (69)
Theory and decision (2003) (68)
Sequential effects in judgments of loudness (1977) (66)
Representational Measurement Theory (2002) (64)
Empirical evaluation of a model of global psychophysical judgments: IV. Forms for the weighting function (2007) (62)
Sufficient Conditions for the Existence of a Finitely Additive Probability Measure (1967) (60)
The response ratio hypothesis for magnitude estimation (1974) (60)
Evaluating a model of global psychophysical judgments—II: Behavioral properties linking summations and productions (2004) (56)
Symmetric and asymmetric matching of joint presentations. (2004) (56)
Two extensions of conjoint measurement (1966) (56)
Is choice the correct primitive? On using certainty equivalents and reference levels to predict choices among gambles (1993) (54)
Parallel psychometric functions from a set of independent detectors (1975) (54)
The ongoing dialog between empirical science and measurement theory (1996) (52)
Thurstone and Sensory Scaling : Then and Now (2004) (51)
Independence Properties Vis-À-Vis Several Utility Representations (2004) (49)
When Four Distinct Ways to Measure Utility Are the Same (1996) (49)
Two Classes of Models for Magnitude Estimation (1980) (48)
Lexicographic tradeoff structures (1978) (47)
Hyers-ulam stability of functional equations with a square-symmetric operation. (1998) (45)
How we may have been misled into believing in the interpersonal comparability of utility (1983) (45)
A behavioral condition for Prelec's weighting function on the positive line without assuming W(1)=1 (2007) (44)
A Psychophysical Theory of Intensity Proportions, Joint Presentations, and Matches (2002) (43)
Coalescing, Event Commutativity, and Theories of Utility (1998) (42)
A choice theory analysis of similarity judgments (1961) (39)
Empirical evaluation of a model of global psychophysical judgments: III. A form for the psychophysical function and intensity filtering (2006) (38)
A SURVEY OF THE THEORY OF SELECTIVE INFORMATION AND SOME OF ITS BEHAVIORAL APPLICATIONS (1954) (38)
The algebra of measurement (1976) (38)
Tests of assumptions about the joint receipt of gambles in rank- and sign-dependent utility theory. (1994) (38)
Uniqueness and homogeneity of ordered relational structures (1986) (37)
Fifteen Problems Concerning the Representational Theory of Measurement (1994) (36)
A Note on Sums of Power Functions (1977) (36)
Tests of Hypotheses about Certainty Equivalents and Joint Receipt of Gambles (1995) (35)
Utility of gambling II: risk, paradoxes, and data (2008) (35)
A psychophysical theory of intensity proportions, joint presentations, and matches. (2002) (35)
Ranked Additive Utility Representations of Gambles: Old and New Axiomatizations (2004) (34)
On the possible psychophysical laws revisited: remarks on cross-modal matching (1990) (32)
Tests of consequence monotonicity in decision making under uncertainty. (1997) (32)
Further Comments on the “Nonrevolution” Arising From Axiomatic Measurement Theory (1993) (31)
Measurement structures with archimedean ordered translation groups (1987) (30)
Ranked-Weighted Utilities and Qualitative Convolution (2001) (30)
Neural coding and psychophysical discrimination data. (1974) (29)
Symmetry, Scale Types, and Generalizations of Classical Physical Measurement (1983) (28)
Chapter 9 – DETECTION, DISCRIMINATION, AND RECOGNITION* (1974) (28)
Correction to ‘several possible measures of risk’ (1981) (28)
On the Numerical Representation of Qualitative Conditional Probability (1968) (27)
Detection of auditory signals presented at random times (1967) (27)
Speed-accuracy Trade off in Auditory Detection1 (27)
A generalization of a theorem of dimensional analysis (1964) (27)
Behavioral assumptions for a class of utility theories: A program of experiments (2010) (27)
Elevating a Model of Global Psychophysical Judgments: I. Behavioral Properties of Summations and Productions (2004) (26)
Detection of auditory signals presented at random times, II (1970) (25)
Three Axiom Systems for Additive Semiordered Structures (1973) (25)
The Representational Measurement Approach to Psychophysical and Judgmental Problems (1998) (25)
Geometric Representations of Perceptual Phenomena : Papers in Honor of Tarow indow on His 70th Birthday (1995) (25)
Interpersonal comparisons of utility for 2 of 3 types of people (2008) (24)
Are psychophysical scales of intensities the same or different when stimuli vary on other dimensions? Theory with experiments varying loudness and pitch. (2010) (24)
Similar Systems and Dimensionally Invariant Laws (1971) (24)
Associative joint receipts (1997) (23)
Thurstone and sensory scaling: Then and now. (1994) (22)
Probabilistic Color Constancy (2013) (21)
Factorizable automorphisms in solvable conjoint structures I (1983) (21)
Stochastic transitivity and cancellation of preferences between bitter-sweet solutions (1965) (21)
Empirical evaluation of four models of buying and selling prices of gambles (2016) (20)
Joint receipt and certainty equivalents of gambles (1995) (20)
A simple axiomatization of binary rank-dependent utility of gains (losses) (2002) (19)
Pooling peripheral information: Averages versus extreme values☆ (1978) (19)
Measurement analogies: comparisons of behavioral and physical measures* (2004) (18)
Singular points in generalized concatenation structures that otherwise are homogeneous (1992) (18)
Joint receipt and Thaler's hedonic editing rule (1995) (17)
INCREASING INCREMENT GENERALIZATIONS OF RANK-DEPENDENT THEORIES (2002) (17)
A "Fundamental" Axiomatization of Multiplicative Power Relations among Three Variables (1965) (17)
Theory And Tests Of The Conjoint Commutativity Axiom For Additive Conjoint Measurement (2011) (17)
Meaningfulness and Invariance (1990) (16)
Axioms for the averaging and adding representations of functional measurement (1981) (15)
An Experimental Test of Event Commutativity in Decision Making Under Uncertainty (1994) (15)
Quantification and symmetry: Commentary on Michell, Quantitative science and the definition of measurement in psychology (1997) (14)
Empirical comparisons of bilinear and nonbilinear utility theories. (2001) (14)
On the Possible Psychophysical Laws " Revisited : Remarks on Cross-Modal Matching (2004) (13)
A model for detection in temporally unstructured experiments with a poisson distribution of signal presentations (1966) (13)
TESTING A NEW THEORY OF PSYCHOPHYSICAL SCALING : TEMPORAL LOUDNESS INTEGRATION (13)
Individual decision making under uncertainty (1988) (13)
Torgerson's conjecture and Luce's magnitude production representation imply an empirically false property (2012) (13)
Two Decomposition Theorems for a Class of Finite Oriented Graphs (1952) (12)
Classification of real measurement representations by scale type (1984) (12)
A Theory of Certainty Equivalents for Uncertain Alternatives (1992) (12)
Foundations of Measurement:@@@Volume II: Geometrical, Threshold, and Probabilistic Representations@@@Volume III: Representation, Axiomatization, and Invariance. (1991) (12)
Duplex decomposition and general segregation of lotteries of a gain and a loss: An empirical evaluation (2002) (12)
On the utility of gambling: extending the approach of Meginniss (1976) (2005) (12)
Predictions about bisymmetry and cross-modal matches from global theories of subjective intensities. (2012) (12)
Polynomial Conjoint Measurement (1971) (11)
"Symmetric and asymmetric matching of joint presentations": Correction to Luce (2004). (2008) (11)
Brightness of different hues is a single psychophysical ratio scale of intensity. (2012) (11)
Bush, Robert R (2005) (11)
Predictions from a model of global psychophysics about differences between perceptual and physical matches (2012) (10)
Reanalysis of the Chechile-Cooke Experiment: Correcting for Mismatched Gambles (1999) (10)
Technical note on the joint receipt of quantities of a single good (2003) (10)
Utility of gambling under p(olynomial)-additive joint receipt and segregation or duplex decomposition (2009) (9)
SOAR as a world view, not a theory (1992) (9)
Three Aspects of the Effectiveness of Mathematics in Science (1990) (9)
The Mathematics Used in Mathematical Psychology (1964) (9)
EXTENSIVE MEASUREMENT WHEN CONCATENATION IS RESTRICTED AND MAXIMAL ELEMENTS MAY EXIST 1 (2006) (9)
Conditions Equivalent to Unit Representations of Ordered Relational Structures. (2001) (9)
Emerging Perspectives on Judgment and Decision Research: Rationality in Choice Under Certainty and Uncertainty (2003) (9)
Qualitative independence in probability theory (1978) (8)
Separable and additive representations of binary gambles of gains (2000) (8)
Conditional expected, extensive utility (1972) (8)
Functional equations arising in a theory of rank dependence and homogeneous joint receipts (2003) (8)
Commentary on Aspects of Lola Lopes’ Paper (1996) (8)
Comments on Plott and on Kahneman, Knetsch, and Thaler (1986) (8)
Sound & Hearing: A Conceptual Introduction (1993) (7)
A game theoretic analysis of congressional power distributions for a stable two‐party system (2007) (7)
Utility of Gambling Under p-Additive Joint Receipt and Segregation or Duplex Decomposition (2008) (7)
Suppes’ Contributions to the Theory of Measurement (1979) (7)
ASYMPTOTIC LEARNING IN PSYCHOPHYSICAL THEORIES1 (1964) (7)
Preference probability between gambles as a step function of event probability. (1962) (7)
Regular ArticleSolutions to Three Functional Equations Arising from Different Ways of Measuring Utility (1996) (7)
Entropy-Related Measures of the Utility of Gambling (2009) (6)
Time Perception: Discussion Paper (1984) (6)
Comments on Rozeboom's criticisms of "On the Possible Psychophysical Laws". (1962) (6)
Analogs in Luce's global psychophysical theory of Stevens's psychophysical regression effect. (2013) (6)
Inherent Individual Differences in Utility (2011) (6)
Chapter 21 – Axiomatization (1990) (6)
Networks Satisfying Minimality Conditions (1953) (6)
Note on a changed empirical inference in several Steingrimsson and Luce articles due to C.T. Ng's correction of an error in Luce (2004) (2008) (5)
Fast, frugal, and surprisingly accurate heuristics (2000) (5)
Erratum: ’’Neural coding and psychophysical discrimination’’ (1975) (5)
Speed‐Accuracy Trade (1972) (4)
Reply to Rachlin’s comment (1979) (4)
Decision Making; a N Experimental Approach. by Donald Davidson and Patrick Suppes, in Collaboration with Sidney (4)
Binary Gambles of a Gain and a Loss: an Understudied Domain (1999) (4)
Ratios of Magnitude Estimates (1974) (4)
Empirical Evaluation of a Model of Global Psychophysical Judgements (2006) (4)
The Invariances of Weber's and Other Laws as Determinants of Psychophysical Structures (2013) (4)
Decision Making; an Experimental Approach (1959) (4)
Color and Force Measurement (1989) (4)
An observable property equivalent to a choice model for discrimination experiments (1962) (3)
Two functional equations preserving functional forms (2002) (3)
A solution to a problem raised in Luce and Marley (2005) (2008) (3)
Additive Conjoint Measurement (1971) (3)
Choices among uncertain outcomes: a test of a decomposition and two assumptions of transitivity. (1962) (3)
Book Reviews: Developments in Mathematical Psychology. Information, learning, and tracking (1980) (2)
Book Reviews: Models of Man. Social and Rational. Mathematical Essays on Rational Human Behavior in a Social Setting (1957) (2)
Chapter 18 – Overview (1990) (2)
3 A Path Taken : Aspects of Modern Measurement Theory (2)
Invariance and Meaningfulness (1990) (2)
THE COMMUTATIVE RULE AS NEW TEST FOR ADDITIVE CONJOINT MEASURMENT: THEORY AND DATA (2010) (2)
Reliability is neither to be expected nor desired in peer review (1993) (2)
A functional equation proof of the distributive-triples theorem (2009) (2)
Empirical Meaningfulness, Measurement-Dependent Constants, and Dimensional Analysis (2013) (2)
Utility representations of gambles: old, new, and needed results (2003) (2)
A note on deriving rank-dependent utility using additive joint receipts. (1996) (1)
Evaluation of Time-Order Error Predictions from a Model of Global Psychophysics (2009) (1)
157 A MODEL OF RATIO PRODUCTION AND ESTIMATION AND SOME BEHAVIORAL PREDICTIONS (2006) (1)
Measurement: The theory of numerical assignment Psychol. Bull., 99 (1986) 166–180 (1987) (1)
On the Interplay of Riskless and Risky Utility (1999) (1)
Let's not promulgate either Fechner's erroneous algorithm or his unidimensional approach (1993) (1)
Measuring equal increments of utility for money without measuring utility itself (1966) (1)
2 Rationality in Choice Under Certainty and Uncertainty (2006) (1)
Representation of Choice Probabilities (1989) (1)
Comment on Prelec's (1998). "The Probability Weighting Function" (1998) (1)
Personal reflections on an unintentional behavioral scientist (1999) (1)
Functional Characterizations of Basic Properties of Utility Representations (2002) (1)
A Timing Model for the Intensity and Frequency Discrimination Functions (1973) (1)
An open measurement problem of interest (2005) (1)
Chapter 11 – Overview (1989) (1)
Global Psychophysical Judgments of Intensity: Summary of a Theory and Experiments (2005) (1)
Representations with Thresholds (1989) (0)
A conceptual, an experimental, and a modeling question about imagery research (1979) (0)
Author Correction [Coalescing, Event Commutativity, and Theories of Utility] (1999) (0)
Subjective Expected Utlllty Theory 1. the Problem (0)
Chapter 19 – Nonadditive Representations (1990) (0)
Psychophysics as Physics: The Measurement of Sensation . A Critique of Perceptual Psychophysics. C. Wade Savage. University of California Press, Berkeley, 1970. xiv, 578 pp., illus. $15. (1971) (0)
Stirnu lus Range , and Identification of Loudness (0)
Learned versus optimizing behavior in simple situations (2006) (0)
R. DUNCAN LUCE and A.A.J. MARLEY ON ELEMENTS OF CHANCE (2000) (0)
Distinguished Scientific Contribution Awards for 1977 (1973) (0)
Construction of Numerical Functions (1971) (0)
2 What Is a Ratio in Ratio Scaling ? (0)
Functional Equations in Behavioral and Social Sciences (2001) (0)
Empirical Quantification Is the Key to Measurement- Including Psychological Measurement. (2000) (0)
Empirical and Theoretical Studies of Psychophysical Phenomena (2013) (0)
Detection of Signal with Poisson Arrival Time (1969) (0)
Dilemma of Research Strategy: Prisoner's Dilemma . Anatol Rapoport and. Albert M. Chammah. University of Michigan Press, Ann Arbor, 1965. 270 pp., $7.50. (1966) (0)
Choices among uncertain outcomes: a test of a decomposition and two assumptions of transitivty. (1962) (0)
Purity, Resistance, and Innocence in Utility Theory (2008) (0)
A choice model with applications to psychophysical scaling and to similarity judgments (1961) (0)
Increasing Increment Generalizations of Rank-Dependent Theories - eScholarship (2002) (0)
The Complementarity of Psychometrics and the Representational Theory of Measurement (2019) (0)
Tarow Indow (August 22, 1923 to September 22, 2007) (2008) (0)
CHAPTER 1 Representational Measurement Theory (2001) (0)
Biographical Memoirs: Gadner Lindzey (2010) (0)
Distribution of Magnitude Estimation Judgment (1974) (0)
FACTORIZABLE AUTOMORF ’ HISMS IN SOLVABLE CONJOINT STRUCTURES (1982) (0)
Measurement representations of ordered, relational structures with archimedean ordered translations (1988) (0)
Dimensional Analysis and Numerical Laws (1971) (0)
Book Review:Game Theory in the Behavioral Sciences. I. R. Buchler, H. G. Nutini (1970) (0)
The Incompleteness Of Hölder ’ s Theorem During Most of The 20 th Century (2012) (0)
Interpersonal Comparisons of Utility for People With Non-trivial p-Additive Joint Receipts (2008) (0)
Color Constancy: Spectral Recovery Using Trichromatic Bilinear Models (2013) (0)
"Parallel Psychometric Functions from a Set of Independent Detectors": Correction to Green and Luce. (1976) (0)
ON ROZEBOOM ' S CRITICISMS OF POSSIBLE PSYCHOPHYSICAL LAWS " (2005) (0)
MBS 00-28 Representational Measurement Theory (0)
No . 2 ON THE POSSIBLE PSYCHOPHYSICAL LAWS ' (1959) (0)
Attention, Stimulus Range, and Identification of Loudness (2019) (0)
Bush, Robert R † (2014) (0)
Giving Advice Social Dynamics (2006) (0)
Predictions from a model of global psychophysics about differences between perceptual and physical matches (2012) (0)
Axiomatic Measurement Theory 1 (2006) (0)
R. DUNCAN LUCE AND LOUIS NARENS (2006) (0)
Chapter 20 – Scale Types (1990) (0)
Siitailaw Systems and Di%iexsibnl$lp,y Invariakt La\vei* (2006) (0)
LIMITATIONS OF MODERN FUNDAMENTAL MEASUREMENT THEORY (2006) (0)
Correction to "Parallel Psychometric Functions from a Set of Independent Detectors" by Green and Luce (1976) (0)
AFRL-OSR-VA-TR-2013-0122 Empirical and Theoretical Studies of Psychophysical Phenomena (2013) (0)
MBS 93-14 Commentary on L. L. Thurstone's "A Law of Comparative Judgment" (0)
Axiomatic Geometry and Applications (1989) (0)
Behavior theory: A contradiction in terms? (1984) (0)
Comments [Rational Choice in Experimental Markets] [Fairness and the Assumptions of Economics] (1986) (0)
Physical correlate theory: A question and a prediction (1981) (0)
Mbs 93-28 Joint Receipt and Certainty Equivalents (0)

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