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Centralized Matching with Incomplete Information

Author

Listed:
  • Yariv, Leeat
  • Fernandez, Marcelo
  • Rudov, Kirill

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.

Suggested Citation

  • Yariv, Leeat & Fernandez, Marcelo & Rudov, Kirill, 2021. "Centralized Matching with Incomplete Information," CEPR Discussion Papers 15873, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:15873
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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. 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.
    3. Alcalde, Jose, 1996. "Implementation of Stable Solutions to Marriage Problems," Journal of Economic Theory, Elsevier, vol. 69(1), pages 240-254, April.
    4. Legros, Patrick & Newman, Andrew, 2010. "Co-ranking mates: Assortative matching in marriage markets," Economics Letters, Elsevier, vol. 106(3), pages 177-179, March.
    5. 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.
    6. Clark Simon, 2006. "The Uniqueness of Stable Matchings," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-28, December.
    7. 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.
    8. 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.
    9. Coles, Peter & Shorrer, Ran, 2014. "Optimal truncation in matching markets," Games and Economic Behavior, Elsevier, vol. 87(C), pages 591-615.
    10. 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.
    11. Nikhil Agarwal, 2015. "An Empirical Model of the Medical Match," American Economic Review, American Economic Association, vol. 105(7), pages 1939-1978, July.
    12. 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.
    13. Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
    14. 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.
    15. Qingmin Liu, 2020. "Stability and Bayesian Consistency in Two-Sided Markets," American Economic Review, American Economic Association, vol. 110(8), pages 2625-2666, August.
    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. 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.
    18. Alston, Max, 2020. "On the non-existence of stable matches with incomplete information," Games and Economic Behavior, Elsevier, vol. 120(C), pages 336-344.
    19. Bikhchandani, Sushil, 2017. "Stability with one-sided incomplete information," Journal of Economic Theory, Elsevier, vol. 168(C), pages 372-399.
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    Cited by:

    1. Vincent Meisner, 2023. "Report-Dependent Utility and Strategy-Proofness," Management Science, INFORMS, vol. 69(5), pages 2733-2745, May.
    2. Pietro Ortoleva & Evgenii Safonov & Leeat Yariv, 2021. "Who Cares More? Allocation with Diverse Preference Intensities," Papers 2108.12025, arXiv.org.
    3. Timm Opitz & Christoph Schwaiger, 2023. "Reciprocal Preferences in Matching Markets," Rationality and Competition Discussion Paper Series 388, CRC TRR 190 Rationality and Competition.
    4. Meisner, Vincent, 2021. "Report-Dependent Utility and Strategy-Proofness," Rationality and Competition Discussion Paper Series 289, CRC TRR 190 Rationality and Competition.
    5. Tatiana Daddario & Richard P. McLean & Andrew Postlewaite, 2023. "An Assignment Problem with Interdependent Valuations and Externalities," Papers 2305.01477, arXiv.org.
    6. Gregory Z. Gutin & Philip R. Neary & Anders Yeo, 2021. "Unique Stable Matchings," Papers 2106.12977, arXiv.org, revised Jul 2023.

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    More about this item

    Keywords

    Deferred acceptance; Incomplete information; Matching;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D49 - Microeconomics - - Market Structure, Pricing, and Design - - - Other
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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