Individual Choice Behavior: A Theoretical Analysis (Dover Books on Mathematics) - Softcover

R. Duncan Luce

Softcover

ISBN 10: 0486441369 ISBN 13: 9780486441368

Publisher: Dover Publications, 2005

Synopsis

This influential treatise presents upper-level undergraduates and graduate students with a mathematical analysis of choice behavior. It begins with the statement of a general axiom upon which the rest of the book rests; the following three chapters, which may be read independently of each other, are devoted to applications of the theory to substantive problems: psychophysics, utility, and learning.
Applications to psychophysics include considerations of time- and space-order effects, the Fechnerian assumption, the power law and its relation to discrimination data, interaction of continua, discriminal processes, signal detectability theory, and ranking of stimuli. The next major theme, utility theory, features unusual results that suggest an experiment to test the theory. The final chapters explore learning-related topics, analyzing the stochastic theories of learning as the basic approach — with the exception that distributions of response strengths are assumed to be transformed rather than response probabilities. The author arrives at three classes of learning operators, both linear and nonlinear, and the text concludes with a useful series of appendixes.

About this title

Review

?In particular its emphasis on the conceptual and experimental difficulties associated with any theory of choice, and its constant concern for empirircal certification deserve the attention of our profession.?-American Economic Review

Edition details

• Publisher: Dover Publications
• Publication date: 2005
• Language: English
• ISBN 10: 0486441369
• ISBN 13: 9780486441368
• Binding: Paperback
• Number of pages: 176