Work in progress

1. Arne Decadt, Alexander Errreygers & Jasper De Bock. Extending choice assessments to choice functions: An algorithm for computing the natural extension. Jul. 2022.
   • Abstract
   • paper.pdf
   • arXiv: 2407.21164
   We study how to in­fer new choices from pri­or choices us­ing the frame­work of choice func­tions, a uni­fy­ing math­em­at­ic­al frame­work for de­cision-mak­ing based on sets of pref­er­ence or­ders. In par­tic­u­lar, we define the nat­ur­al (most con­ser­vat­ive) ex­ten­sion of a giv­en choice as­sess­ment to a co­her­ent choice func­tion—whenev­er pos­sible—and use this nat­ur­al ex­ten­sion to make new choices. We provide a prac­tic­al al­gorithm for com­put­ing this nat­ur­al ex­ten­sion and vari­ous ways to im­prove scalab­il­ity. Fi­nally, we test these al­gorithms for dif­fer­ent types of choice as­sess­ments.