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Stable Matching with Mistaken Agents

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  • Georgy Artemov
  • Yeon-Koo Che
  • YingHua He

Abstract

Motivated by growing evidence of agents’ mistakes in strategically simple environments, we propose a solution concept—robust equilibrium—that requires only an asymptotically optimal behavior. We use it to study large random matching markets operated by applicant-proposing deferred acceptance. Although truth telling is a dominant strategy, almost all applicants may be nontruthful in robust equilibrium; however, the outcome must be arbitrarily close to the stable matching. Our results imply that one can assume truthful agents to study deferred acceptance outcomes theoretically or counterfactually. However, to estimate the preferences of mistaken agents, one should assume stable matching but not truth telling.

Suggested Citation

  • Georgy Artemov & Yeon-Koo Che & YingHua He, 2023. "Stable Matching with Mistaken Agents," Journal of Political Economy Microeconomics, University of Chicago Press, vol. 1(2), pages 270-320.
    • Handle: RePEc:ucp:jpemic:doi:10.1086/722978
    DOI: 10.1086/722978
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    Cited by:

    1. Klein, Thilo & Aue, Robert & Ortega, Josué, 2024. "School choice with independent versus consolidated districts," Games and Economic Behavior, Elsevier, vol. 147(C), pages 170-205.
    2. Roy Chen & Peter Katuščák & Thomas Kittsteiner & Katharina Kütter, 2024. "Does disappointment aversion explain non-truthful reporting in strategy-proof mechanisms?," Experimental Economics, Springer;Economic Science Association, vol. 27(5), pages 1184-1210, November.
    3. Di Feng & Yun Liu, 2024. "Informational Size in School Choice," Papers 2407.11273, arXiv.org.
    4. Müge Süer & Michel Tolksdorf & Vincent Meisner & Sokol Tominaj, 2025. "Confidence and Information in Strategy-Proof School Choice," Rationality and Competition Discussion Paper Series 546, CRC TRR 190 Rationality and Competition.
    5. Shorrer, Ran I. & Sóvágó, Sándor, 2024. "Dominated choices under deferred acceptance mechanism: The effect of admission selectivity," Games and Economic Behavior, Elsevier, vol. 144(C), pages 167-182.

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