Mathematical Psychology: Current Developments

ISBN-13: 9780387976655 / Angielski / Miękka / 1991 / 453 str.

Jean-Paul Doignon; Jean-Paul Doignon; Jean-Claude Falmagne

Opis

Sometime in the late sixties, one of the editors of this volume realized that the mathematica psychologists in Europe-an odd lot mostly concentrated in Germany, the Netherlands, France, England and Belgium-were suffering from an acute sense of isolation. The papers that they presented at meetings of their national or regional societies had to be 'sanitized' to the point of misrepresentation. They were misunderstood. The mood was grim, depression was lurking. He decided that urgent action was required: a European gathering of mathematical psychologists was called in April 1971. Not being foolhardy, however, he took the precaution of choosing Paris as the meeting place. Around thirty mathematical psychologists received an invitation. They all came, justifying at least Paris's reputation. The meeting took place at the 'Maison des Belges' of the Cite Universitaire, Boulevard Jourdan, in front of the Parc Montsouris. As far as everyone remembers, the meeting was a full success. A happy birth had taken place. This editor then irresponsibly accepted a position in a university in the US, leaving an infant to the whims of the passers-by. Fortunately, a godfather came along. The next meeting took place in Nijmegen, in November 1971, under the loving care of Eddy Roskam. A tradition was established. The third meeting was in Oxford (1972); then in Marseilles (1973), Regensburg (1974), Stirling (1975), Stockholm (1976) . . . The infant became a toddler, then a vigorous child. This annual meeting is now an important event in the field.

Spis treści

1. Measurement Theory.- Ordinal Independence and Functional Equations in the Theory of Psychological Difference.- The Principle of Invariance with Special Reference to Perception.- Scalar Invariance in Opponent Colour Theory and the ‘Discounting the Background’ Principle.- Additive Representation of Preferences, a New Foundation of Decision Analysis; The Algebraic Approach.- Bisector Spaces: Geometry for Triadic Data.- 2. Probabilistic Choice and Decision.- On the Interpretation of Strict Utility Choice Models.- Belief Functions, Convex Capacities, and Decision Making.- Probabilistic Measurement Theory.- Circularity in Conjoint Paired Comparisons.- Random Utility Representations of Binary Choice Probabilities.- Connectionist Models of Decision Making.- Uniqueness in Attribute Weighting and in Representation of Qualitative Probabilities.- 3. Knowledge Representation and Psychometrics.- Constructing Knowledge Spaces from Judgements with Differing Degrees of Certainty.- Knowledge Representation of Spatial Relations.- A Rasch Model for the Speed-Accuracy Tradeoff in Time Limited Tests.- Testing Finite State Models of Performance in Objective Tests Using Items with ‘None of the Above’ as an Option.- On Power Series Models and the Specifically Objective Assessment of Change in Event Frequencies.- 4. Information Processing and Cognitive Modelling.- Statistical Inference for Multinomial Processing Tree Models.- Comparison Between Stochastic Models for Visual Selection.- Conflicting Strategies in Dual Control Problems with Different Goals.- A Feature Model for Unfolding and Experimental Results.- A Response Time Theory of Perceptual Independence.- A General Adaptive Filter Model for Human Associative Memory.- Author Index.

O autorze

Jean-Claude Falmagne is emeritus professor of cognitive sciences at the Universtiy of California, Irvine. His research spans topics in psychophysics, probabilistic choice theory, combinatorics, measurement theory, educational technology, and philosophy of science.
Jean-Paul Doignon is a professor of the mathematics department of the Université Libre de Bruxelles, Belgium. His research covers various aspects of discrete mathematics (graphs, ordered sets, convex polytopes, etc.) and applications to behavioral sciences (preference modelling, choice models, knowledge assessment, etc.).