We consider the widely used multinomial logit model with i.i.d. Gumbel random terms. Transition choice probabilities, i.e. probabilities of choosing alternative i in the first choice and alternative j in the second, are available in analytic form in the two extreme cases where the random terms of each alternative are independent or perfectly correlated across choices. We extend these results and provide the transition probabilities in analytic form in the case where the random terms follow a bi-extremal distribution with correlation coefficient varying in the full positive range between zero and one.

Transition choice probabilities in logit / Delle Site, Paolo; Salucci, Marco Valerio. - In: ECONOMICS LETTERS. - ISSN 0165-1765. - :126(2015), pp. 135-139. [10.1016/j.econlet.2014.12.002]

Transition choice probabilities in logit

DELLE SITE, PAOLO
;
SALUCCI, MARCO VALERIO
2015

Abstract

We consider the widely used multinomial logit model with i.i.d. Gumbel random terms. Transition choice probabilities, i.e. probabilities of choosing alternative i in the first choice and alternative j in the second, are available in analytic form in the two extreme cases where the random terms of each alternative are independent or perfectly correlated across choices. We extend these results and provide the transition probabilities in analytic form in the case where the random terms follow a bi-extremal distribution with correlation coefficient varying in the full positive range between zero and one.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11573/779543
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