Graphical Models and Collective Choice
Abstract
When groups of individuals make collective decisions, it is obvious that if all members share similar goals, agreement will be reached more quickly than if members have diverse opinions. This common-sense notion is quantified by using the framework of graphical models to relate choices that group members may favor. It is shown that the similarity relations between members' choices play the dominant role in the ease or difficulty with which the group can reach agreement. If similarity relations among members' choices are sparse, then consensus is likely to be very fragile and easy to disrupt. Five specific findings of this nature are reported. In addition, there are three other spin-off results. Two are related to biological system design; the third relates measures for predictability and Shannon information.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 22, 2005
- Accession Number
- ADA438432
Entities
People
- Whitman Richards
Organizations
- Massachusetts Institute of Technology