Third volume in the three books Foundations of Measurement series.Table of ContentsPreface Acknowledgments 1. Overview2. Nonadditive representations3. Scale types4. Axiomatization5. Invariance and meaningfulnessReferences
Robert 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 focuses on mathematical models of human decision-making and perception. Luce formulated key axioms and theories that formalize principles of choice and psychophysics, contributing significantly to the development of mathematical behavioral sciences. His innovative approaches bridge mathematics with psychology and economics, offering profound insights into rational behavior.
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.
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
Superb non-technical introduction to game theory, primarily applied to social sciences. Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.