2017 Theses Doctoral
Essays on Aggregation in Deliberation and Inquiry
Mathematical aggregation frameworks are general and precise settings in which to study ways of forming a consensus or group point of view from a set of potentially diverse points of view. Yet the standard frameworks have significant limitations. A number of results show that certain sets of desirable aggregation properties cannot be simultaneously satisfied. Drawing on work in the theory of imprecise probabilities, I propose philosophically-motivated generalizations of the standard aggregation frameworks (for probability, preference, full belief) that I prove can satisfy the desired properties. I then look at some applications and consequences of these proposals in decision theory, epistemology, and the social sciences.
This item is currently under embargo. It will be available starting 2019-08-04.
- Academic Units
- Thesis Advisors
- Collins, John D.
- Ph.D., Columbia University