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Random Utility Models, IIA, Mattsson-Weibull-Li Distributionsand a Conjecture by Luce and Suppes
KTH, School of Architecture and the Built Environment (ABE), Transport Science, Transport and Location Analysis.
2012 (English)Report (Other academic)
Abstract [en]

In recent papers, Mattsson and Weibull, and independently Li, have introduced a class of independent distributions, where the individual cdf’s are powers of each other. For this class they have showed that the choice probabilities are of “Luce form”, i.e. the form following from the Independence from Irrelevant Alternatives (IIA) assumption. We show a converse to this result. For a class of “independent” Random Utility (RU) Models, allowing non-uniform expansion, and where the cdf’s in question are well-behaved in a certain sense, the only possibility is that the cdf’s are of the above mentioned Mattsson-Weibull-Li (MWL) type. This result resolves an old conjecture by Luce and Suppes. The result demands unbounded choice sets. For finite models, we show on the contrary, that any finite independent RU model with Luce form choice probabilities, there is a version with random terms that are not MWL-distributed

Place, publisher, year, edition, pages
National Category
Transport Systems and Logistics
URN: urn:nbn:se:kth:diva-95396OAI: diva2:528085
QC 20120524Available from: 2012-05-24 Created: 2012-05-24 Last updated: 2012-05-24Bibliographically approved
In thesis
1. Contributions to Probabilistic Discrete Choice
Open this publication in new window or tab >>Contributions to Probabilistic Discrete Choice
2012 (English)Doctoral thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2012. x, 20 p.
National Category
Transport Systems and Logistics
urn:nbn:se:kth:diva-95402 (URN)978-91-85539-86-4 (ISBN)
Public defence
2012-06-01, D2, Lindstedtsvägen 5, KTH, Stockholm, 09:15 (English)
TrenOp, Transport Research Environment with Novel Perspectives

QC 20120524

Available from: 2012-05-24 Created: 2012-05-24 Last updated: 2016-01-20Bibliographically approved

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Lindberg, Per Olov
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ReferencesLink to record
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