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The Importance of Irrelevance of Rejected Contracts in Matching under Weakened Substitutes Conditions

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Author Info

  • Orhan Aygün

    ()
    (Boston College)

  • Tayfun Sönmez

    ()
    (Boston College)

Abstract

We show that Hatfield and Kojima (2010) inherits a critical ambiguity from its predecessor Hatfield and Milgrom (2005), and clearing this ambiguity has strong implications for the paper. Of the two potential remedies, the first one results in the failure of all theorems except one in the absence of an additional irrelevance of rejected contracts (IRC) condition, whereas the second remedy eliminates the transparency of the results, reduces the scope of the model, and contradicts authors' interpretation of the nature of their contributions. Fortunately all results are restored when IRC is explicitly assumed under the first remedy.

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Bibliographic Info

Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 805.

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Date of creation: 30 Jun 2012
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Handle: RePEc:boc:bocoec:805

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Keywords: Matching with Contracts; Stability; Market Design;

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References

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  1. Federico Echenique, 2012. "Contracts versus Salaries in Matching," American Economic Review, American Economic Association, vol. 102(1), pages 594-601, February.
  2. Echenique, Federico, 2004. "Counting Combinatoral Choice Rules," Working Papers 1199, California Institute of Technology, Division of the Humanities and Social Sciences.
  3. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-50, March.
  4. Echenique, Federico & Oviedo, Jorge, 2004. "Core many-to-one matchings by fixed-point methods," Journal of Economic Theory, Elsevier, vol. 115(2), pages 358-376, April.
  5. Ahmet Alkan, 2002. "A class of multipartner matching markets with a strong lattice structure," Economic Theory, Springer, vol. 19(4), pages 737-746.
  6. Tayfun Sönmez & Tobias B. Switzer, 2011. "Matching with (Branch-of-Choice) Contracts at United States Military Academy," Boston College Working Papers in Economics 782, Boston College Department of Economics.
  7. Hatfield, John William & Kojima, Fuhito, 2010. "Substitutes and stability for matching with contracts," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1704-1723, September.
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Cited by:
  1. Aziz, Haris & Brill, Markus & Harrenstein, Paul, 2013. "Testing substitutability of weak preferences," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 91-94.
  2. Scott Duke Kominers & Tayfun Sönmez, 2012. "Designing for Diversity: Matching with Slot-Specific Priorities," Boston College Working Papers in Economics 806, Boston College Department of Economics.
  3. Jan Christoph Schlegel, 2013. "Contracts versus Salaries in Matching: Comment," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 13.09, Université de Lausanne, Faculté des HEC, DEEP.

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