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 Livres
R. Duncan Luce est Distinguished Research Professor de Sciences Cognitives et Research Professor d'Économie à l'Université de Californie, Irvine. Ses travaux se concentrent sur les modèles mathématiques de prise de décision et de perception humaines. Luce a formulé des axiomes et des théories clés qui formalisent les principes du choix et de la psychophysique, contribuant ainsi de manière significative au développement des sciences comportementales mathématiques. Ses approches innovantes font le pont entre les mathématiques, la psychologie et l'économie, offrant des perspectives profondes sur le comportement rationnel.
Foundations of Measurement Volume II
Geometrical, Threshold, and Probabilistic Representations
- 512pages
- 18 heures de lecture
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.