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Monotonicity and Nash implementation in matching markets with contracts

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  • Claus-Jochen Haake

    ()

  • Bettina Klaus

    ()

Abstract

We consider general two-sided matching markets, so-called matching with contracts markets as introduced by Hatfield and Milgrom (2005) and analyze (Maskin) monotonic and Nash implementable solutions. We show that for matching with contracts markets the stable correspondence is monotonic and implementable (Theorems 1 and 3). Furthermore, any solution that is Pareto efficient, individually rational, and monotonic is a supersolution of the stable correspondence (Theorem 2). In other words, the stable correspondence is the minimal solution that is Pareto efficient, individually rational, and implementable.

(This abstract was borrowed from another version of this item.)

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 41 (2009)
Issue (Month): 3 (December)
Pages: 393-410

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Handle: RePEc:spr:joecth:v:41:y:2009:i:3:p:393-410

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Related research

Keywords: Matching with contracts; Monotonicity; Nash implementation; Stability; C62; C78; D78; J41;

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References

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  1. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
  2. Kara, Tarik & Sonmez, Tayfun, 1996. "Nash Implementation of Matching Rules," Journal of Economic Theory, Elsevier, vol. 68(2), pages 425-439, February.
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  7. Ehlers, Lars, 2004. "Monotonic and implementable solutions in generalized matching problems," Journal of Economic Theory, Elsevier, vol. 114(2), pages 358-369, February.
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Citations

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Cited by:
  1. Alexander Westkamp, 2013. "An analysis of the German university admissions system," Economic Theory, Springer, Springer, vol. 53(3), pages 561-589, August.
  2. Toyotaka Sakai, 2011. "A note on strategy-proofness from the doctor side in matching with contracts," Review of Economic Design, Springer, Springer, vol. 15(4), pages 337-342, December.

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