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Incentive-Compatible Matching Mechanisms: Consistency with Various Stability Notions

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  • M. Bumin Yenmez

Abstract

I study the consistency of incentive compatibility with several stability notions for a one-to-one matching market with transfers. Ex post stability, studied in the matching literature, is too strong to be satisfied together with incentive compatibility. Therefore, I introduce weaker stability notions: ex ante stability and interim stability. Although ex ante stability is consistent with incentive compatibility when agents are ex ante identical or when the market is balanced, interim stability can only be satisfied when there is one agent on the short side of the market, as in auctions. Which stability is appropriate depends on when agents can block.

Suggested Citation

  • M. Bumin Yenmez, 2013. "Incentive-Compatible Matching Mechanisms: Consistency with Various Stability Notions," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 120-141, November.
  • Handle: RePEc:aea:aejmic:v:5:y:2013:i:4:p:120-41
    Note: DOI: 10.1257/mic.5.4.120
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    References listed on IDEAS

    as
    1. Dipjyoti Majumdar, 2003. "Ordinally Bayesian Incentive Compatible Stable Matching," Working Papers hal-00242988, HAL.
    2. Chakraborty, Archishman & Citanna, Alessandro & Ostrovsky, Michael, 2010. "Two-sided matching with interdependent values," Journal of Economic Theory, Elsevier, vol. 145(1), pages 85-105, January.
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    4. M. Yenmez, 2015. "Incentive compatible market design with applications," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 543-569, August.
    5. John H. Kagel & Alvin E. Roth, 2000. "The Dynamics of Reorganization in Matching Markets: A Laboratory Experiment Motivated by a Natural Experiment," The Quarterly Journal of Economics, Oxford University Press, vol. 115(1), pages 201-235.
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    9. Pavlov, Gregory, 2008. "Auction design in the presence of collusion," Theoretical Economics, Econometric Society, vol. 3(3), September.
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    Citations

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    Cited by:

    1. M. Bumin Yenmez, 2014. "College Admissions," GSIA Working Papers 2014-E24, Carnegie Mellon University, Tepper School of Business.
    2. Dizdar, Deniz & Moldovanu, Benny, 2016. "On the importance of uniform sharing rules for efficient matching," Journal of Economic Theory, Elsevier, vol. 165(C), pages 106-123.
    3. M. Yenmez, 2015. "Incentive compatible market design with applications," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 543-569, August.
    4. Bikhchandani, Sushil, 2017. "Stability with one-sided incomplete information," Journal of Economic Theory, Elsevier, vol. 168(C), pages 372-399.

    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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