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Designing for Diversity: Matching with Slot-Specific Priorities

  • Scott Duke Kominers

    (Becker Friedman Institute, University of Chicago)

  • Tayfun Sönmez

    ()

    (Boston College)

To encourage diversity, branches may vary contracts' priorities across slots. The agents who match to branches, however, have preferences only over match partners and contractual terms. Ad hoc approaches to resolving agents' indifferences across slots in the Chicago and Boston school choice programs have introduced biases, which can be corrected with more careful market design. Slot-specific priorities can fail the substitutability condition typically crucial for outcome stability. Nevertheless, an embedding into a one-to-one agent--slot matching market shows that stable outcomes exist and can be found by a cumulative offer mechanism that is strategy-proof and respects unambiguous improvements in priority.

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Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 806.

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Date of creation: 02 Jul 2012
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Handle: RePEc:boc:bocoec:806
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  1. L. G. Hines, 1955. "Economics and the Public Interest," Land Economics, University of Wisconsin Press, vol. 31(2), pages 108-119.
  2. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
  3. Federico Echenique, 2012. "Contracts versus Salaries in Matching," American Economic Review, American Economic Association, vol. 102(1), pages 594-601, February.
  4. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth & Tayfun Sönmez, 2006. "Changing the Boston School Choice Mechanism," Boston College Working Papers in Economics 639, Boston College Department of Economics.
  5. Tayfun S�nmez, 2013. "Bidding for Army Career Specialties: Improving the ROTC Branching Mechanism," Journal of Political Economy, University of Chicago Press, vol. 121(1), pages 186 - 219.
  6. John William Hatfield & Fuhito Kojima & Yusuke Narita, 2012. "Promoting School Competition Through School Choice: A Market Design Approach," Discussion Papers 12-036, Stanford Institute for Economic Policy Research.
  7. Kominers, Scott Duke, 2012. "On the correspondence of contracts to salaries in (many-to-many) matching," Games and Economic Behavior, Elsevier, vol. 75(2), pages 984-989.
  8. Michael Ostrovsky, 2008. "Stability in Supply Chain Networks," American Economic Review, American Economic Association, vol. 98(3), pages 897-923, June.
  9. Ahmet Alkan, 2002. "A class of multipartner matching markets with a strong lattice structure," Economic Theory, Springer, vol. 19(4), pages 737-746.
  10. Orhan Aygün & Tayfun Sönmez, 2012. "The Importance of Irrelevance of Rejected Contracts in Matching under Weakened Substitutes Conditions," Boston College Working Papers in Economics 805, Boston College Department of Economics.
  11. Parag A. Pathak & Tayfun Sonmez, 2008. "Leveling the Playing Field: Sincere and Sophisticated Players in the Boston Mechanism," American Economic Review, American Economic Association, vol. 98(4), pages 1636-52, September.
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