On the Representation of the Nested Logit Model

Alfred Galichon ()
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Alfred Galichon: ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique, NYU - New York University [New York] - NYU - NYU System

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Abstract: In this paper, we give a two-line proof of a long-standing conjecture of Ben-Akiva in his 1973 PhD thesis regarding the random utility representation of the nested logit model, thus providing a renewed and straightforward textbook treatment of that model. As an application, we provide a closed-form formula for the correlation between two Fréchet random variables coupled by a Gumbel copula.

Keywords: Random utility models; Multinomial choice; Nested logit model (search for similar items in EconPapers)
Date: 2022-04
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Published in Econometric Theory, 2022, 38 (2), pp.370-380. ⟨10.1017/S026646662000047X⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:spmain:hal-03893069

DOI: 10.1017/S026646662000047X

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