This volume is the result of a conference held at the University of California, Irvine, on the topics that provide its title -- choice, decision, and measurement. The conference was planned, and the volume prepared, in honor of Professor R. Duncan Luce on his 70th birthday. Following a short autobiographical statement by Luce, the volume is organized into four topics, to each of which Luce has made significant contributions. The book provides an overview of current issues in each area and presents some of the best recent theoretical and empirical work. Personal reflections on Luce and his work begin each section. These reflections were written by outstanding senior researchers: Peter Fishburn (Preference and Decision Making), Patrick Suppes (Measurement Theory and Axiomatic Systems), William J. McGill (Psychophysics and Reaction Time), and W.K. Estes (Choice, Identification and Categorization). The first section presents recent theoretical and empirical work on descriptive models of decision making, and theoretical results on general probabilistic models of choice and ranking. Luce's recent theoretical and empirical work on rank- and sign-dependent utility theory is important in many of these contributions. The second section presents results from psychophysics, probabilistic measurement, aggregation of expert opinion, and test theory. The third section presents various process oriented models, with supportive data, for tasks such as redundant signal detection, forced choice, and absolute identification. The final section contains theory and data on categorization and attention, and general theoretical results for developing and testing models in these domains.
All of the sciences — physical, biological, and social — have a need for quantitative measurement. This influential series, Foundations of Measurement, established the formal basis for measurement, justifying the assignment of numbers to objects in terms of their structural correspondence. 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.
This new monograph presents Dr. Luce's current understanding of the behavioral properties people exhibit (or should exhibit) when they make selections among alternatives and how these properties lead to numerical representations of those preferences. It summarizes, and places in historical perspective, the research Dr. Luce has done on utility theory for over 10 years. Included are axiomatic theoretical formulations, experiments designed to test individual assumptions, and analyses of the fit to bodies of data of numerical representations derived from the theory. ...
This new monograph presents Dr. Luce's current understanding of the behavioral properties people exhibit (or should exhibit) when they make selections among alternatives and how these properties lead to numerical representations of those preferences. It summarizes, and places in historical perspective, the research Dr. Luce has done on utility theory for over 10 years. Included are axiomatic theoretical formulations, experiments designed to test individual assumptions, and analyses of the fit to bodies of data of numerical representations derived from the theory.
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