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A Note on Assortativeness Measures

Author

Listed:
  • Kenzo Imamura
  • Suguru Otani
  • Tohya Sugano
  • Koji Yokote

Abstract

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.

Suggested Citation

  • Kenzo Imamura & Suguru Otani & Tohya Sugano & Koji Yokote, 2025. "A Note on Assortativeness Measures," Papers 2512.21465, arXiv.org, revised Mar 2026.
    • Handle: RePEc:arx:papers:2512.21465
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    References listed on IDEAS

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    1. Lasse Eika & Magne Mogstad & Basit Zafar, 2019. "Educational Assortative Mating and Household Income Inequality," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2795-2835.
    2. Pierre-André Chiappori & Monica Costa Dias & Costas Meghir & Hanzhe Zhang, 2024. "Changes in marital sorting: theory and evidence from the US," IFS Working Papers W24/55, Institute for Fiscal Studies.
    3. Pierre-André Chiappori & Monica Costa Dias & Costas Meghir & Hanzhe Zhang, 2025. "Changes in Marital Sorting: Theory and Evidence from the United States," Journal of Political Economy, University of Chicago Press, vol. 133(10), pages 3045-3077.
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