2025/12/25 by Kenzo Imamura, Suguru Otani, Imamura, Kenzo +5
Economics, Econometrics and Finance · Mathematics · Social Sciences · #Advanced Causal Inference Techniques #FOS: Economics and business #Game Theory and Voting Systems #Income, Poverty, and Inequality #Theoretical Economics (econ.TH)
paper · doi:10.48550/arxiv.2512.21465
openalex publication_date 2025/12/25 · openalex created_date 2025/12/30 · openalex updated_date 2026/07/28
Chiappori et al. (2025) study several indices of assortativeness in matching, including the aggregate likelihood ratio and the odds ratio. We provide a counterexample showing that their axiomatization of the aggregate likelihood ratio is not valid as stated. We identify the exact class of indices characterized by the axioms in Chiappori et al. (2025). We then show that the axiomatization of the aggregate likelihood ratio can be recovered by adding new axioms. In addition, we point out errors in the axiomatizations of other measures in Chiappori et al. (2025). Finally, we offer a generalization of the odds ratio from two-type markets to multi-type markets.