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.
"Disagreement networks." Involve 13 (5) 803 - 822, 2020. https://doi.org/10.2140/involve.2020.13.803