Mathematical Psychology

1. Front Matter

   Pages i-ix

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2. Measurement Theory

   1. Front Matter

      Pages 1-1

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   2. Ordinal Independence and Functional Equations in the Theory of Psychological Difference

      • John M. Miyamoto

      Pages 3-33

   3. The Principle of Invariance with Special Reference to Perception

      • Patrick Suppes

      Pages 35-53

   4. Scalar Invariance in Opponent Colour Theory and the ‘Discounting the Background’ Principle

      • Rainer Mausfeld, Reinhard Niederée

      Pages 55-69

   5. Additive Representations of Preferences, A New Foundation of Decision Analysis; The Algebraic Approach

      • Peter Wakker

      Pages 71-87

   6. Bisector Spaces: Geometry for Triadic Data

      • Jean-Claude Falmagne, Jean-Paul Doignon

      Pages 89-105

3. Probabilistic Choice and Decision

   1. Front Matter

      Pages 107-107

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   2. On the Interpretation of Strict Utility Choice Models

      • Louis Narens

      Pages 109-125

   3. Belief Functions, Convex Capacities, and Decision Making

      • Jean-Yves Jaffray

      Pages 127-134

   4. Probabilistic Measurement Theory

      • Geoffrey J. Iverson

      Pages 135-155

   5. Circularity in Conjoint Paired Comparisons

      • Thorn Bezembinder

      Pages 157-180

   6. Random Utility Representations of Binary Choice Probabilities

      • Mathieu Koppen

      Pages 181-201

   7. Connectionist Models of Decision Making

      • Hermann Rodenhausen

      Pages 203-210

   8. Uniqueness in Attribute Weighting and in Representation of Qualitative Probabilities

      • Jean-Paul Doignon, Jean-Claude Falmagne

      Pages 211-218

4. Knowledge Representation and Psychometrics

   1. Front Matter

      Pages 219-219

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   2. Constructing Knowledge Spaces from Judgements with Differing Degrees of Certainty

      • Cornelia E. Bowling

      Pages 221-231

   3. Knowledge Representation of Spatial Relations

      • Stephen C. Hirtle

      Pages 233-249

   4. A Rasch Model for the Speed-Accuracy Tradeoff In Time limited Tests

      • Gerard J. P. Van Breukelen, Edward E. Ch. I. Roskam

      Pages 251-271

   5. Testing Finite State Models of Performance in Objective Tests Using Items with ‘None of the Above’ as an Option

      • Miguel A. García-Pérez, Robert B. Frary

      Pages 273-291

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.

• Statistical Inference
• mathematical psychology
• memory
• perception
• psychology
• psychometrics

• Département de mathématique, c.p. 216, Université libre de Bruxelles, Bruxelles, Belgium

  Jean-Paul Doignon

• Irvine Research Unit in Mathematical Behavioral Sciences Social Science Tower, University of California, Irvine, USA

  Jean-Claude Falmagne

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