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

Batley, R.P. and Daly, A.J. (2006) On the equivalence between elimination-by-aspects and generalised extreme value models of choice behaviour. Journal of Mathematical Psychology, 50 (5). pp. 456-467. ISSN 0022-2496

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Abstract

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.

Item Type: Article
Copyright, Publisher and Additional Information: Copyright © 2006 Elsevier Inc. Uploaded in accordance with the self-archiving policy of the copyright holders, Elsevier Science. This is an author produced version of a paper subsequently published in 'Journal of Mathematical Psychology'.
Keywords: elimination-by-aspects, hierarchical elimination-by-aspects, random utility model, generalised extreme value, Nested logit, Recursive nested extreme value
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Environment (Leeds) > Institute for Transport Studies (Leeds)
Depositing User: Adrian May
Date Deposited: 22 Feb 2007
Last Modified: 15 Jun 2014 03:17
Published Version: http://dx.doi.org/10.1016/j.jmp.2006.05.003
Status: Published
Publisher: Elsevier Science
Refereed: Yes
Identification Number: 10.1016/j.jmp.2006.05.003
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/2002

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