2 problems

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Uniqueness of a pairwise comparison matrix from its efficient vectors
Uniqueness conjecture. If
Conjectureopenmultiobjective-optimization pairwise-comparison-matricesarXiv posted 2 days ago
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Convergence of principal-eigenvector rankings to HodgeRank rankings
Let $X^{(k)}$ be the family of pairwise-comparison matrices obtained by varying the parameter $k>0$ , and consider the rankings induced by the Principal Eigenvector and HodgeRank me…
Conjectureopenpairwise-comparison-matrices ranking-methodsarXiv posted 2 days ago

Uniqueness of a pairwise comparison matrix from its efficient vectors