A Probabilistic Evaluation Framework for Preference Aggregation Reflecting Group Homogeneity

Jansen, Christoph; Schollmeyer, Georg und Augustin, Thomas (5. August 2016): A Probabilistic Evaluation Framework for Preference Aggregation Reflecting Group Homogeneity. Department of Statistics: Technical Reports, Nr. 193

Abstract

Groups differ in the homogeneity of their members' preferences. Reflecting this, we propose a probabilistic criterion for evaluating and comparing the adequateness of preference aggregation procedures that takes into account information on the considered group's homogeneity structure. Further, we discuss two approaches for approximating our criterion if information is only imperfectly given and show how to estimate these approximations from data. As a preparation, we elaborate some general minimal requirements for measuring homogeneity and discuss a specific proposal for a homogeneity measure. Finally, we investigate our framework by comparing aggregation rules in a simulation study.

• Dokumententyp: Paper
• Keywords: aggregation procedure; preference profile; voting theory; imprecise probabilities; maximum entropy; homogeneity measure; group decision making
• Fakultät: Mathematik, Informatik und Statistik > Statistik ; Mathematik, Informatik und Statistik > Statistik > Technische Reports ; Mathematik, Informatik und Statistik > Statistik > Lehrstühle/Arbeitsgruppen > Method(olog)ische Grundlagen der Statistik und ihre Anwendungen
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• JEL Classification: C1, C6
• Sprache: Englisch