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Centralized Matching with Incomplete Information

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  • Marcelo Ariel Fernandez
  • Kirill Rudov
  • Leeat Yariv

Abstract

We study the impacts of incomplete information on centralized one-to-one matching markets. We focus on the commonly used Deferred Acceptance mechanism (Gale and Shapley 1962). We show that many complete-information results are fragile to a small infusion of uncertainty about others' preferences.

Suggested Citation

  • Marcelo Ariel Fernandez & Kirill Rudov & Leeat Yariv, 2022. "Centralized Matching with Incomplete Information," American Economic Review: Insights, American Economic Association, vol. 4(1), pages 18-33, March.
  • Handle: RePEc:aea:aerins:v:4:y:2022:i:1:p:18-33
    DOI: 10.1257/aeri.20210123
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    References listed on IDEAS

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    1. Federico Echenique & Leeat Yariv, 2013. "An Experimental Study of Decentralized Matching," Working Papers 2013-3, Princeton University. Economics Department..
    2. Nikhil Agarwal, 2015. "An Empirical Model of the Medical Match," American Economic Review, American Economic Association, vol. 105(7), pages 1939-1978, July.
    3. Roth, Alvin E., 1989. "Two-sided matching with incomplete information about others' preferences," Games and Economic Behavior, Elsevier, vol. 1(2), pages 191-209, June.
    4. C. Nicholas McKinney & Muriel Niederle & Alvin E. Roth, 2005. "The Collapse of a Medical Labor Clearinghouse (and Why Such Failures Are Rare)," American Economic Review, American Economic Association, vol. 95(3), pages 878-889, June.
    5. Philip J. Reny, 2021. "A simple sufficient condition for a unique and student-efficient stable matching in the college admissions problem," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 7-9, April.
    6. Itai Ashlagi & Yash Kanoria & Jacob D. Leshno, 2017. "Unbalanced Random Matching Markets: The Stark Effect of Competition," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 69-98.
    7. Alcalde, Jose, 1996. "Implementation of Stable Solutions to Marriage Problems," Journal of Economic Theory, Elsevier, vol. 69(1), pages 240-254, April.
    8. Qingmin Liu, 2020. "Stability and Bayesian Consistency in Two-Sided Markets," American Economic Review, American Economic Association, vol. 110(8), pages 2625-2666, August.
    9. Qingmin Liu & George J. Mailath & Andrew Postlewaite & Larry Samuelson, 2014. "Stable Matching With Incomplete Information," Econometrica, Econometric Society, vol. 82(2), pages 541-587, March.
    10. Coles, Peter & Shorrer, Ran, 2014. "Optimal truncation in matching markets," Games and Economic Behavior, Elsevier, vol. 87(C), pages 591-615.
    11. Fernandez, Marcelo Ariel, 2018. "Deferred acceptance and regret-free truth-telling," Economics Working Paper Archive 65832, The Johns Hopkins University,Department of Economics, revised 31 Jul 2020.
    12. Legros, Patrick & Newman, Andrew, 2010. "Co-ranking mates: Assortative matching in marriage markets," Economics Letters, Elsevier, vol. 106(3), pages 177-179, March.
    13. Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
    14. Holzman, Ron & Samet, Dov, 2014. "Matching of like rank and the size of the core in the marriage problem," Games and Economic Behavior, Elsevier, vol. 88(C), pages 277-285.
    15. Clark Simon, 2006. "The Uniqueness of Stable Matchings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-28, December.
    16. Alvin E. Roth, 2002. "The Economist as Engineer: Game Theory, Experimentation, and Computation as Tools for Design Economics," Econometrica, Econometric Society, vol. 70(4), pages 1341-1378, July.
    17. Alston, Max, 2020. "On the non-existence of stable matches with incomplete information," Games and Economic Behavior, Elsevier, vol. 120(C), pages 336-344.
    18. Bikhchandani, Sushil, 2017. "Stability with one-sided incomplete information," Journal of Economic Theory, Elsevier, vol. 168(C), pages 372-399.
    19. Chen, Peter & Egesdal, Michael & Pycia, Marek & Yenmez, M. Bumin, 2016. "Median stable matchings in two-sided markets," Games and Economic Behavior, Elsevier, vol. 97(C), pages 64-69.
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    Cited by:

    1. Gregory Z. Gutin & Philip R. Neary & Anders Yeo, 2021. "Unique Stable Matchings," Papers 2106.12977, arXiv.org, revised Jul 2023.
    2. Timm Opitz & Christoph Schwaiger, 2023. "Reciprocal Preferences in Matching Markets," Rationality and Competition Discussion Paper Series 388, CRC TRR 190 Rationality and Competition.
    3. Pietro Ortoleva & Evgenii Safonov & Leeat Yariv, 2021. "Who Cares More? Allocation with Diverse Preference Intensities," Working Papers 2021-10, Princeton University. Economics Department..
    4. Tatiana Daddario & Richard P. McLean & Andrew Postlewaite, 2023. "An Assignment Problem with Interdependent Valuations and Externalities," Papers 2305.01477, arXiv.org.
    5. Vincent Meisner, 2023. "Report-Dependent Utility and Strategy-Proofness," Management Science, INFORMS, vol. 69(5), pages 2733-2745, May.
    6. Meisner, Vincent, 2021. "Report-Dependent Utility and Strategy-Proofness," Rationality and Competition Discussion Paper Series 289, CRC TRR 190 Rationality and Competition.

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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design

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