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On the equivalence between elimination-by-aspects and generalised extreme value models of choice behaviour

By R.P. Batley and A.J. Daly

Abstract

Elimination‐by‐aspects and generalised extreme value offer competing\ud paradigms for the representation of a common behaviour, that of individual\ud discrete choice. Observing certain consistencies in their mathematical\ud structure, several eminent authors have commented on the degree of\ud equivalence between the two paradigms. Most contributions to this debate\ud have, however, been less than definitive. More fundamentally, the\ud contributions lack consensus. We advance the debate considerably by\ud establishing formal mathematical conditions under which three‐alternative\ud tree models from the two paradigms are exactly equivalent. We then extend\ud our analysis to consider more general models, showing that equivalence can\ud be established for general tree models, but not for cross‐nested models

Publisher: Elsevier Science
Year: 2006
OAI identifier: oai:eprints.whiterose.ac.uk:2002
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