Generalized multi-peaked model of electoral preferences

Individuals often need to make decisions as a group on di erent levels, ranging from a family unit, to professional organizations, to larger political and economic units. Societies choose their leaders, while companies gain business insights and develop marketing strategies using aggregation methods. These decisions are highly resource-intensive and have important implications for the quality of life, safety, and self-expression in public life. Therefore, it is extremely important to aggregate individual preferences correctly. The area of theoretical Social Choice provides us with bearish answers that a consensus may be unobtainable and that any group choice may be impugnable. Even worse, the choice of the best option may depend on the choice of the aggregation procedure. Nevertheless, the analysis of real-world data routinely argues against these theoretical predictions: the outcomes of aggregation procedures in real-world data sets agree remarkably well. This contradiction has puzzled researchers for decades. To solve this puzzle I propose a Generalized Multi-peaked model of preferences. The Multi-peaked model is consistent with the predictions from the theoretical literature on Social Choice and with the novel empirical evidence. I model the structure of group preferences by assuming that, first, people share a limited number of points of view and, therefore, form subgroups on the basis of similar preferences. Thus, the distribution of preferences of the group is a mixture of the preferences of these subgroups. Second, within a group, people deviate slightly from a typical point of view and thereby provide a variety of opinions. I capture these two assumptions by introducing modes, i.e., true/typical points of view of a group, and Kernel functions, i.e., deviations from the modes, into the model. I show that Kernel functions bear all the responsibility for the high rates of consistency among aggregation methods, as well as the rarity of cyclical social preferences in real-world data.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Psychology

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Popova, Anna

Contributors dc:contributor

• Regenwetter, Michel
• Chang, Hua-Hua
• Hubert, Lawrence J.
• Kuklinski, James H.
• Milenkovic, Olgica

• Social choice
• Group choice
• Condorcet paradox
• aggregation of preferences

Statement dc:rights

• Copyright 2014 Anna Popova

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/50344

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/50344