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Essays on Aggregation in Deliberation and Inquiry

Stewart, Rush T.

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.

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More About This Work

Academic Units
Philosophy
Thesis Advisors
Collins, John D.
Degree
Ph.D., Columbia University
Published Here
September 12, 2017