Random utility models with equality: An apparent,but not actual,generalization of random utility models

A probabilistic model for choice, and preference, is introduced that includes (Tversky's) elimination by aspects model, and the random utility model, as special cases. The model is based on a covert sequential elimination process, the element that is finally chosen in a simple choice experiment being the eventual lone survivor of the elimination process. The model leads us to question the usual form of simple choice experiments, in which a subject must (eventually) choose one of the currently available alternatives, and to suggest that a much more realistic experimental design would allow the subject the no-choice option, i.e., he may refuse to accept any of the currently available alternatives.