|
|||||
 |
|
|
|
|
|
|
|
Disagreement
networks
Florin Catrina and Brian Zilli
Vol. 13 (2020), No. 5, 803–822
|
Abstract |
|
We first describe an observation based on an analysis of data regarding the outcomes of decisions in cases considered by the United States Supreme Court. Based on this observation, we propose a simple model aiming toward producing an objective notion of an ideology index. As an initial step in justifying this concept we produce explicit formulas for the highest-energy eigenvectors of reversible Markov chains with rank-2 transition matrices. |
Keywords
reversible Markov chain, highest-energy eigenvector, ideal
point
|
Mathematical Subject Classification
Primary: 05C50, 60J20
Secondary: 91F10
|
Milestones
Received: 29 September 2019
Revised: 18 June 2020
Accepted: 8 September 2020
Published: 5 December 2020
Communicated by Jonathon Peterson
|
Authors |
| Florin Catrina | |
| Department of Mathematics and
Computer Science St John’s University Queens, NY United States |
|
| Brian Zilli | |
| Department of Mathematics Iowa State University Ames, IA United States |
|
