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Arrow's theorem and max-star transitivity
(National University of Ireland, Galway, 2009)
In the literature on social choice and fuzzy preferences, a central question is how to represent the transitivity of a fuzzy binary relation. Arguably the most general way of doing this is to assume a form of transitivity ...
Many-valued judgment aggregation: characteriing the possibility/impossibility boundary for an important class of agendas
(National University of Ireland, Galway, 2009-11)
A general model of judgment aggregation is presented in which judgments on propositions are not binary but come in degrees. The primitives of the model are a set of propositions, an entailment relation, and a "triangular ...
Proximity by Numbers
(National University of Ireland, Galway, 2009-11)
Imagine that everyone in a group chooses a real number and then these numbers are combined to produce a group number. Suppose that when everyone moves strictly closer to some individual¿s number, the group number either ...
A measure of distance between judgment sets (Working paper no. 169)
(National University of Ireland, Galway, 2011-02)
In the literature on judgment aggregation, an important open question is how to measure the distance between any two judgment sets. This is relevant for issues of social choice: if two individuals hold different beliefs ...
Aggregating partitions
(National University of Ireland, Galway, 2011-02)
Consider the following social choice problem. A group of individuals seek to partition a finite set X into two subsets. The individuals may disagree over the partition and an aggregation rule is applied to determine a ...