Best, worst, and Best&worst choice probabilities for logit and reverse logit models

André de Palma (1, 2) , Karim Kilani (3)

1 Université CYU
2 THEMA - Théorie économique, modélisation et applications
3 LIRSA - Laboratoire interdisciplinaire de recherche en sciences de l'action

This paper builds upon the work of Professor Marley, who, since the beginning of his long research career, has proposed rigorous axiomatics in the area of probabilistic choice models. Our study concentrates on models that can be applied to best and worst choice scaling experiments. We focus on those among these models that are based on strong assumptions about the underlying ranking of the alternatives with which the individual is assumed to be endowed when making the choice. Taking advantage of an inclusion-exclusion identity that we showed a few years ago, we propose a variety of best-worst choice probability models that could be implemented in software packages that are flourishing in this field.

Keywords: Best-worst scaling experiments Logit model Random utility models Reverse logit model; Best-worst scaling experiments; Logit model; Random utility models; Reverse logit model JEL classification

Domains: Economics and Finance

André de Palma, Karim Kilani. Best, worst, and Best&worst choice probabilities for logit and reverse logit models. 2022. ⟨hal-03913928⟩