Date on Master's Thesis/Doctoral Dissertation
8-2019
Document Type
Doctoral Dissertation
Degree Name
Ph. D.
Department
Mathematics
Degree Program
Applied and Industrial Mathematics, PhD
Committee Chair
Powers, Robert
Committee Co-Chair (if applicable)
McMorris, Fred
Committee Member
McMorris, Fred
Committee Member
Wildstrom, David
Committee Member
Gainous, Jason
Author's Keywords
Majority rule; approval voting; voting; ballot space
Abstract
In any social structure, there is often a need to reach decisions, not only within a group but between groups as well, sometimes even urgently so. Each of the individuals constituting these groups has their own preference for the decision to be made. We will discuss the problem of aggregating individual preferences into a collective preference and under what conditions we are required to select a collective majority. In this dissertation we will look at three models of consensus and show the conditions vary based on the model.
Recommended Citation
Leach, Trevor, "Characterizing majority rule on various discrete models of consensus." (2019). Electronic Theses and Dissertations. Paper 3297.
https://doi.org/10.18297/etd/3297
