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Disagreement
networks
Florin Catrina and Brian Zilli
Vol. 13 (2020), No. 5, 803–822
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Abstract |
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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. |
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Keywords
reversible Markov chain, highest-energy eigenvector, ideal
point
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Mathematical Subject Classification
Primary: 05C50, 60J20
Secondary: 91F10
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Milestones
Received: 29 September 2019
Revised: 18 June 2020
Accepted: 8 September 2020
Published: 5 December 2020
Communicated by Jonathon Peterson
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Authors |
| Florin Catrina | |
| Department of Mathematics and
Computer Science St John’s University Queens, NY United States |
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| Brian Zilli | |
| Department of Mathematics Iowa State University Ames, IA United States |
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