[UTMD-105] A Note on Assortativeness Measures (by Kenzo Imamura, Suguru Otani, Tohya Sugano, Koji Yokote)

Kenzo Imamura, Suguru Otani, Tohya Sugano, Koji Yokote

Chiappori et al. (2025) study several indices that measure the assortativeness of a matching, including the aggregate likelihood 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.