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A maximum likelihood hierarchical disaggregate model for predicting choices of individuals
Authors:Dennis H Gensch  Joseph A Svestka
Affiliation:The University of Wisconsin-Milwaukee USA
Abstract:The absence of operational disaggregate lexicographic decision models and Tversky's observation that choice behavior is often inconsistent, hierarchical, and context dependent motivate the development of a maximum likelihood hierarchical (MLH) choice model. This new disaggregate choice model requires few assumptions and accommodates the three aspects of choice behavior noted by A. Tversky (1972, Journal of Mathematical Psychology, 9, 341–367). The model has its foundation in a prototype model developed by the authors. Unlike the deterministic prototype, however, MLH is a probabilistic model which generates maximum likelihood estimators of the aggregate “cutoff values.” The model is formulated as a concave programming problem whose solutions are therefore globally optimal. Finally, the model is applied to data from three separate studies where it is demonstrated to have superior performance over the prototype model in its predictive performance.
Keywords:Address reprint requests to Joseph A. Svestka   Associate Professor   Department of Industrial and Systems Engineering   College of Engineering and Applied Science   The University of Wisconsin-Milwaukee   P. O. Box 784   Milwaukee   WI 53201.
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