Reference : Testing probabilistic models of choice using column generation
Scientific journals : Article
Engineering, computing & technology : Computer science
Business & economic sciences : Quantitative methods in economics & management
Testing probabilistic models of choice using column generation
Smeulders, Bart mailto [Université de Liège - ULiège > HEC Liège : UER > Recherche opérationnelle et gestion de la production >]
Davis-Stober, Clintin [> >]
Regenwetter, Michel [> >]
Spieksma, Frits C.R. [> >]
Computers and Operations Research
Yes (verified by ORBi)
United Kingdom
[en] Choice Behavior ; Column Generation ; Membership Problems ; Probabilistic Choice
[en] In so-called random preference models of probabilistic choice, a decision maker chooses according to an unspecified probability distribution over preference states. The most prominent case arises when preference states are linear orders or weak orders of the choice alternatives. The literature has documented that actually evaluating whether decision makers’ observed choices are consistent with such a probabilistic model of choice poses computational difficulties. This severely limits the possible scale of empirical work in behavioral economics and related disciplines. We propose a family of column generation based algorithms for performing such tests. We evaluate our algorithms on various sets of instances. We observe substantial improvements in computation time and conclude that we can efficiently test substantially larger data sets than previously possible.

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