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The welfare effects of pre-arrangements in matching markets

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  • Mustafa Afacan

Abstract

We study the welfare effects of different types of pre-arrangements (as identified in Sönmez in J Econ Theory 86:148–156, 1999 ) under the intern-optimal and hospital-optimal stable mechanisms in matching markets. First, both mechanisms are manipulable via Type-2 pre-arrangements. Regarding the welfare consequences, they might cause inefficient outcomes to arise, and the welfare effects on each side are ambiguous in the sense that there might be agents from each side, apart from pre-arranging ones, being better and worse off. Then, for Type-1 pre-arrangements, due to Kojima and Pathak (Am Econ Rev 99(3):608–627, 2009 ), we know that the intern-optimal stable mechanism is immune to this type of manipulations. In contrast to this result, the hospital-optimal stable mechanism turns out to be manipulable. More interestingly, they do not result in inefficient outcomes, and the welfare effects on each side are unambiguous: All hospitals (interns) are better (worse) off. Copyright Springer-Verlag 2013

Suggested Citation

  • Mustafa Afacan, 2013. "The welfare effects of pre-arrangements in matching markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 139-151, May.
  • Handle: RePEc:spr:joecth:v:53:y:2013:i:1:p:139-151
    DOI: 10.1007/s00199-012-0695-1
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    References listed on IDEAS

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    Cited by:

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    2. Afacan, Mustafa Oǧuz, 2013. "Application fee manipulations in matching markets," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 446-453.
    3. Fujinaka, Yuji & Wakayama, Takuma, 2018. "Endowments-swapping-proof house allocation," Games and Economic Behavior, Elsevier, vol. 111(C), pages 187-202.
    4. Afacan, Mustafa Oğuz & Dur, Umut Mert, 2017. "Incompatibility between stability and consistency," Economics Letters, Elsevier, vol. 150(C), pages 135-137.

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    More about this item

    Keywords

    Unraveling; Pre-arrangement; Welfare; matching; Stability; C71; C78; J44;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • J44 - Labor and Demographic Economics - - Particular Labor Markets - - - Professional Labor Markets and Occupations

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