The stochastic 2-binary choice problem

Paola Manzini, Marco Mariotti, Henrik Petri*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

The classic (to date unsolved) stochastic binary choice problem asks under what conditions a given stochastic choice function defined on pairs of alternatives derives from a random ranking. We propose a solution to the problem for the case in which at most two rankings are assigned positive probability. This case is psychologically motivated and interesting for applications. It is structurally different from the general case in that the choice functions that are derived from a random ranking do not necessarily form a convex polytope, hence they are not even in principle described by a set of linear inequalities.
Original languageEnglish
JournalJournal of Mathematical Psychology
Publication statusAccepted/In press - 11 Jun 2025

Bibliographical note

I have added a link to the version on my webpage, which is the accepted version. I will add a DOI as soon as it becomes available, the paper is currently in production.

Research Groups and Themes

  • ECON Microeconomic Theory

Keywords

  • Stochastic Choice, Random Rankings, Random Utility Model.

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