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Impossibility of Stable and Non-damaging bossy Matching Mechanism

Author

Listed:
  • Taisuke Matsubae

    (Competition Policy Research Center, Japan Fair Trade Commission)

Abstract

In this paper we prove the impossibility of stability rules that satisfy a concept weaker than nonbossiness. Stability and nonbossiness are essential to matching theory. However, Kojima Fuhito(2010) shows that a matching mechanism that is both stable and nonbossy dose not exist. We define a new concept that is weaker than nonbossiness and consider whether or not stability and the new concept are compatible. Unfortunately, we show that these properties are incompatible.

Suggested Citation

  • Taisuke Matsubae, 2010. "Impossibility of Stable and Non-damaging bossy Matching Mechanism," Economics Bulletin, AccessEcon, vol. 30(3), pages 2092-2096.
  • Handle: RePEc:ebl:ecbull:eb-10-00279
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    File URL: http://www.accessecon.com/Pubs/EB/2010/Volume30/EB-10-V30-I3-P192.pdf
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    Cited by:

    1. Takumi Kongo, 2013. "On non-bossy matching rules in two-sided matching problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(4), pages 303-311, December.
    2. Mustafa Oguz Afacan, 2012. "On The "Group Non-bossiness" Property," Economics Bulletin, AccessEcon, vol. 32(2), pages 1571-1575.

    More about this item

    Keywords

    matching; stability; non-damaging bossy; impossibility theorem.;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D6 - Microeconomics - - Welfare Economics

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