R. Duncan Luce Books

R. Duncan Luce is a Distinguished Research Professor of Cognitive Science and Research Professor of Economics at the University of California, Irvine. His work delves into the intricacies of human decision-making, formalizing choice and applying mathematical methods to psychology and the behavioral sciences. Luce's contributions include a key choice axiom and the definition of semiorders, offering mathematical frameworks for understanding preference and selection processes.

Foundations of Measurement Volume II
Geometrical, Threshold, and Probabilistic Representations
512 pages
18 hours of reading
A classic series in the field of quantitative measurement, Volume I introduces the distinct mathematical results that serve to formulate numerical representations of qualitative structures. Volume II extends the subject in the direction of geometrical, threshold, and probabilistic representations, and Volume III examines representation as expressed in axiomatization and invariance. 1989 edition.
Foundations of Measurement
Additive and Polynomial Representations
624 pages
22 hours of reading
First volume in the three books Foundations of Measurement series.Table of contents:Preface1. Introduction2. Construction of numerical functions3. Extensive measurement4. Difference measurement5. Probability representations6. Additive conjoint measurement7. Polynomial conjoint measurement8. Conditional expected utility9. Measurement inequalities10. Dimensional analysis and numerical lawsAnswers and hints to selected exercisesReferences

Foundations of Measurement Volume II

Foundations of Measurement