Up/Downward Preference Aggregation

Dynamic Preference Aggregation under Preference Changes

We consider the issue of update in settings for preference aggregation under preference changes. While the traditional problem formulation of preference aggregation assumes a fixed set of preference orders and a fixed set of domain elements we investigate how an aggregated preference order has to be updated when the input orders are dynamic. Our analysis shows that for even for some simple aggr...

Perspectives on Preference Aggregation.

For centuries, the mathematical aggregation of preferences by groups, organizations, or society itself has received keen interdisciplinary attention. Extensive theoretical work in economics and political science throughout the second half of the 20th century has highlighted the idea that competing notions of rational social choice intrinsically contradict each other. This has led some researche...

Sophisticated preference aggregation

A Sophisticated Social Welfare Function (SSWF) is a mapping from pro…les of individual preferences into a sophisticated preference which is a pairwise weighted comparison of alternatives. We characterize Pareto optimal and pairwise independent SSWFs in terms of oligarchies that are induced by some power distribution in the society. This is a fairly large class ranging from dictatoriality to ano...

Preference Aggregation and Voting

In this lecture, we analyze the aggregation of diverse preferences. This enterprise proves a sobering experience and will make us question the efficacy of democracy. We uncover mostly troubling phenomena as a result of aggregating diverse preferences. We might first ask why we might want to aggregate preferences. The simple reason is that there are many decisions and actions whose implications ...

Preference Aggregation After Harsanyi