Jean-Claude Falmagne (949)-824-4880 jcf@aris.ss.uci.edu

Between 1966 and 1969, JCF held a number of post doctoral positions and visiting appointments at various universities in the US (University of Pennsylvania, University of Wisconsin and University of Michigan). During that period, his scientific interests grew larger, and he started investigating some theoretical problems in psychophysics and measurement theory. He went back to Europe in 1969 and taught at the Universities of Brussels and Paris for a couple of years. In 1971, JCF returned to the US as a Professor of Psychology at New York University. In 1978, he solved a long standing theoretical problem raised by the economists Block and Marschak in 1960, concerning the representation of choice probabilities by random utilities. He remained at NYU until 1989, when he joined the Department of Cognitive Sciences and the Institute of Mathematical Behavioral Sciences at the University of California at Irvine. Some of his work in the last decade has been concentrated on the Theory of Knowledge Spaces, which he developed in collaboration with Jean-Paul Doignon, from the University of Brussels. He is the author or co-author of about a hundred journal articles (dealing mostly with choice theory, measurement theory, psychophysics, and knowledge space theory) and of three books: Elements of Psychophysical Theory, (Oxford University Press, 1985), Knowledge Spaces (with Jean-Paul Doignon, Springer, 1999), and Lectures in Elementary Probability (McGraw-Hill, 2001). JCF is also a co-editor of two volumes.

Until recently, JCF was the the scientific director and the PI of a large scale project funded by NSF and focused on the construction of an expert computer system for the assessment of mathematical knowledge from K-12. The arithmetic, elementary algebra, and pre-calculus parts of this system are on the web and are used in several hundred colleges and school districts in the country. Another ongoing research project, also funded by NSF, concerns the development of stochastic models describing the emergence and the evolution of cognitive states, under the influence of tokens of information provided by the environment. Such models would have application in learning, decision making, and the analysis of opinion polls.

He is the recipient of Fulbright and Guggenheim Fellowships, and of a von Humboldt Award. In 1987-88, he was a Fellow at the Center for Advanced Study in the Behavioral Sciences, and in 1988-89, President of the Society for Mathematical Psychology. In 1993, he was `Recognized as a Friend of NSERC' by the Natural Sciences and Engineering Research Council of Canada and Professor Janos Aczel, and in 1994, he was elected as a member of the New York Academy of Sciences. JCF is a member of the editorial board of the Journal of Mathematical Psychology, of Mathematique, Informatique et Sciences Humaines, and of Mathematical Social Sciences. He is also a fellow of the Society of Experimental Psychology. JCF founded the European Mathematical Psychology Group, and organized the first meeting of the group at the University of Paris in August 1971. The group has met every year since that time. A typical meeting gathers 80-100 researchers from all over the world.

Selected Bibliography

Note on a Simple Property of Binary Mixtures. J.-Cl. Falmagne, British Journal of Mathematical and Statistical Psychology, 21(1), 1968, 131-132.

Composite Measurement. A. Ducamp and J.-Cl. Falmagne, Journal of Mathematical Psychology, 6(3), 1969, 359-390.

Bounded Versions of Holder's Theorem with Application to Extensive Measurement. J.-Cl. Falmagne, Journal of Mathematical Psychology, 8(4), 1971, 495-507.

Biscalability of Error Matrices and All or None Reaction Time Theories. J.-Cl. Falmagne, Journal of Mathematical Psychology, 9(2), 1972, 206-224.

Sufficient Conditions for an Ordered Ring Isomorphism onto a Positive Subinterval: A Lemma for Polynomial Measurement. J.-Cl. Falmagne, Journal of Mathematical Psychology, 10(3), 1973, 290-295.

Foundations of Fechnerian Psychophysics. J.-Cl. Falmagne, In: Contemporary Developments in Mathematical Psychology Vol.II, Measurement, Psychophysics and Neural Information Processing. Eds. D.H. Krantz, R.C. Atkinson, R.D. Luce and P. Suppes. San Francisco: Freeman, 1974.

Difference Measurement and Simple Scalability with Restricted Solvability. J.-P. Doignon and J.-Cl. Falmagne, Journal of Mathematical Psychology, 11(4), 1974, 473-499.

A Set of Independent Axioms for Positive Holder Systems. J.-Cl. Falmagne, Philosophy of Science, 42(2), 1975, 137-151.

Two-Choice Reactions as an Ordered Memory Scanning Process. J.-Cl. Falmagne, S.P. Cohen and A. Dwivedi, In: Attention and Performance V Eds. P. Rabbit and S. Dornic. New York: Academic Press, 1975, 296-344.

Random Conjoint Measurement and Loudness Summation. J.-Cl. Falmagne, Psychology Review, 83(1), 1976, 65-79.

A Representation Theorem for Finite Random Scale Systems. J.-Cl. Falmagne, Journal of Mathematical Psychology, 18, 1978, 52-72.

Binaural Loudness Summation: Probabilistic Theory and Data. J.-Cl. Falmagne, G. Iverson and S. Marcovici, Psychology Review, 86(1), 1979, 25-43.

On a Class of Probabilistic Conjoint Measurement Models: Some Diagnostic Properties. J.-Cl. Falmagne, Journal of Mathematical Psychology, 19(2), 1979, 73-88.

Conjoint Weber's Law and Additivity. J.-Cl. Falmagne and G. Iverson, Journal of Mathematical Psychology, 20(2), 1979, 164-183.

A Probabilistic Theory of Extensive Measurement. J.-Cl. Falmagne, Philosophy of Science, 47, 1980, 277-296.

On a Recurrent Misuse of Classic Functional Equation Result. J.-Cl. Falmagne, Journal of Mathematical Psychology, 23, 1981, 190-193.

Psychometric Functions Theory. J.-Cl. Falmagne, Journal of Mathematical Psychology, 25(1), 1982, 1-50.

Scales and Meaningfulness of Quantitative Laws. J.-Cl. Falmagne and L. Narens, Synthese, 54, 1983, 287-325.

A Random Utility Model for a Belief Function. J.-Cl. Falmagne, Synthese, 57, 1983, 17-30.

Matching Relations and the Dimensional Structure of Social Choices. J.-P. Doignon and J.-Cl. Falmagne, Mathematical Social Sciences, 7, 1984, 211-229.

On Realizable Biorders and the Biorder Dimension of a Relation. J.-P. Doignon, A. Ducamp and J.-Cl. Falmagne, Journal of Mathematical Psychology, 28(1), 1984, 73-109.

Elements of Psychophysical Theory. J.-Cl. Falmagne. New York: Clarendon Press, Oxford University Press, 1985.

Statistical Issues in Measurement. G. Iverson and J.-Cl. Falmagne, Mathematical Social Sciences, 10(2), 1985, 131-153.

Spaces for the Assessment of Knowledge. J.-P. Doignon and J.-Cl. Falmagne, International Journal of Man-Machine Studies, 23, 1985, 175-196.

Psychophysical Measurement and Theory. J.-Cl. Falmagne, In: Handbook of Perception and Human Performance, Eds. K. Boff, L. Kaufman and J. Thomas. New York: John Wiley, 1986.

Languages for the Assessment of Knowledge. E. Degreef, J.-P. Doignon, A. Ducamp and J.-Cl. Falmagne, Journal of Mathematical Psychology, 30(3), 1986, 243-256.

On the Separation of two Relations by a Biorder or Semiorder. J.-P. Doignon, A. Ducamp and J.-Cl. Falmagne, Mathematical Social Sciences, 11(3), 1987, 1-18.

Parametrization of Knowledge Structures. J.-P. Doignon and J.-Cl. Falmagne, Discrete Applied Mathematics, 21 1988, 87-100.

A Class of Stochastic Procedures for the Assessment of Knowledge. J.-Cl. Falmagne and J.-P. Doignon, The British Journal of Mathematical and Statistical Psychology, 1988, 1-23.

A Markovian Procedure for Assessing the State of a System. J.-Cl. Falmagne and J.-P. Doignon, Journal of Mathematical Psychology, 3, 1988, 232-258.

A Latent Trait Theory via Stochastic Learning Theory for a Knowledge Space. J.-Cl. Falmagne, Psychometrika, 54(2), 1989, 283-303.

Introduction to Knowledge Spaces: How to Build, Test and Search Them. J.-Cl. Falmagne, M. Koppen, M. Villano, J.-P. Doignon and L. Johannesen, Psychological Review, 97(2), 1990, 201-224.

Random Utility Representation of Choice Probability: A New Class of Necessary Conditions. Michael Cohen and J.-Cl. Falmagne, Journal of Mathematical Psychology, 34(1), 1990, 88-94.

Mathematical Psychology: Current Developments. J.-P. Doignon and J.-Cl. Falmagne (Eds.), Springer-Verlag: New York, 1991.

Uniqueness in Attribute Weigthing, and in Representation of Qualitative Probabilities. J.-P. Doignon and J.-Cl. Falmagne, In: Mathematical Psychology: Current Developments, J.-P. Doignon and J.-Cl. Falmagne (Eds.). New York: Springer-Verlag, 1991.

Bisector Spaces: Geometry for Triadic Data. J.-Cl. Falmagne and J.-P. Doignon, In: Mathematical Psychology: Current Developments. J.-P. Doignon and J.-Cl. Falmagne (Eds.) New York: Springer-Verlag, 1991.

Stochastic Learning Paths in Knowledge Structures. J.-Cl. Falmagne, Journal of Mathematical Psychology 37(4), 1993, 489-512.

Representations and Models in Psychology. P. Suppes, M. Pavel and J.-Cl. Falmagne, Annual Review of Psychology, 45, 1994, 517-544.

A Polynomial Time Algorithm for Unidimensional Unfolding Representations. J.-P. Doignon and J.-Cl. Falmagne, Journal of Algorithms, 16, 1994, 218-233.

Finite Markov Learning Models for Knowledge Structures. J.-Cl. Falmagne, In: Contributions to Mathematical Psychology, Psychometrics, and Methodology. G.H. Fischer and D. Laming (Eds.), New York: Springer Verlag, 1994.

Knowledge Assessment: Tapping Human Expertise by the QUERY Routine. M. Kambouri, M. Koppen, M. Villano and J.-Cl. Falmagne, International Journal for Human-Computer Studies, 40, 1994, 119-151.

The Monks' Vote: A Dialogue on Unidimensional Probabilistic Geometry. J.-Cl. Falmagne, In: Patrick Suppes, Scientific Philosopher, Paul Humphreys (Ed.). Kluwer Academic, 1994.

Mesurage, Modeles Mathematiques et Psychophysique. J.-Cl. Falmagne, In: Traite de Psychologie Experimentale, M. N. Richelle, M. Robert, and J. Requin (Eds.), Paris: Presses Universitaires de France, 1994.

On the Interpretation of the Exponent in the `Near-Miss-to-Weber's-Law. J.-Cl. Falmagne, Journal of Mathematical Psychology, 38(4), 1994, 497-503.

Random Utility Models for Approval Voting. J.-Cl. Falmagne and M. Regenwetter, Journal of Mathematical Psychology, 40(2), 1996, 152-159.

Technical Note: Errata to SLP. J.-Cl. Falmagne, Journal of Mathematical Psychology, 40(2),1996, 169-174, 497-503.

A Stochastic Theory for the Emergence and the Evolution of Preference Structures. J.-Cl. Falmagne, Mathematical Social Sciences, 31, 1996, 63-84.

Well Graded Families of Relations. J.-P. Doignon and J.-Cl. Falmagne, Discrete Mathematics, 133, 1997, 35-44.

Stochastic Evolution of Rationality. J.-Cl. Falmagne and J.-P. Doignon, Theory and Decision, 43, 1997, 107-138.

Stochastic Token Theory. J.-Cl. Falmagne, Journal of Mathematical Psychology, 41(2) 1997, 129-143.

A Stochastic Model for the Evolution of Preferences. J.-Cl. Falmagne, M. Regenwetter and B. Grofman. In Choice, decision and Measurement: Essays in the Honor of R. Duncan Luce, A.A.J. Marley (Ed.), Mahwah, New Jersey: Erlbaum, 1997.

Meshing Knowledge Structures. J.-.Cl. Falmagne and J.-P. Doignon. In Recent Progress in Mathematical Psychology, C. Dowling, F. Roberts, and P. Theuns (Eds.), Mahwah, New Jersey: Erlbaum, 1998.

Knowledge Spaces. J.-P. Doignon and J.-Cl. Falmagne, Berlin: Springer, 1999.

A Stochastic Model of Preference Changes and its Application to 1992 Presidential Election Panel Data. M. Regenwetter, J.-Cl. Falmagne and B. Grofman, Psychological Review, 2 1999, 362-384.

Consistency of Monomial and Difference Representations of Functions Arising from Empirical Phenomena. J. Aczel and J.Cl. Falmagne, Journal of Mathematical Analysis and Applications, 234(2) 1999, 632-659.

Combinatoric and Geometric Aspect of Some Probabilistic Choice Models---A Review. J.-P. Doignon, J.-Cl. Falmagne and M. Regenwetter. In FUR VIII VOLUME, Mark J. Machina and Bertrand Munier (Eds.). New Jersey: Kluwer Academic, 1999.

Patrick Suppes---Scientific Philosopher and Mathematical Psychologist. J.-Cl. Falmagne. In The Encyclopedia of Psychology, E.Kazdin (Ed.), New York: Oxford University Press, pages 8B-345-6, 2000.

Compatibility of Gain-Control and Power Law Representations. J.-Cl. Falmagne and A. Lundberg, Aequationes Mathematicae, 58 1999, 1-10.

ALEKS, an application of knowledge space theory. J.-Cl. Falmagne, Electronic Notes in Discrete Mathematics, 58 1999, Tutorial given at the OSDA98, Amherst, MA.

A Primer on Media Theory. J.-Cl. Falmagne, in Human Center Processes, Philippe Lenca (Ed.). Proceedings: 10th Mini EURO Conference, pages 497-499, 1999.

Functional Equations in the Behavioral Sciences. J. Aczel, J.-Cl. Falmagne, and D. R. Luce. Japonica Mathematica, 52 (3): 469-512 2000,

Media Theory. J.-Cl. Falmagne, and S. Ovchinnikov. Discrete Applied Mathematics, to appear. 2001,

Lectures in Elementary Probability. J.-Cl. Falmagne, New York: McGraw-Hill, 2001.

Mathematical Models: Mathematical Psychology. J.-Cl. Falmagne, in International Encyclopedia of Social and Behavioral Sciences, Elsevier, to appear, 2001.

Markov Processes in Knowledge Spaces. J.-Cl. Falmagne, in International Encyclopedia of Social and Behavioral Sciences, Elsevier, to appear, 2001.

Recasting (the Near Miss to) Weber's law. C. Doble, J.-Cl. Falmagne, and B. Berg. Psychological Review, submitted 2001,

Almost Connected Orders. C. Doble, J.-P. Doignon, J.-Cl. Falmagne, and P. Fishburn. Order, In press, 2001.

Extensions of Set Functions. S. Ovchinnikov J.-Cl. Falmagne. Journal of Mathematical Analysis and Applications, submitted 2001,