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