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Matching with (Branch-of-Choice) Contracts at United States Military Academy

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Author Info

  • Tayfun Sönmez

    ()
    (Boston College)

  • Tobias B. Switzer

    (United States Air Force)

Abstract

Branch selection is a key decision in a cadet's military career. Cadets at USMA can increase their branch priorities at a fraction of slots by extending their service agreement. This real-life matching problem fills an important gap in market design literature. Although priorities fail a key substitutes condition, the agent-optimal stable mechanism is well-defined, and in contrast to the current USMA mechanism it is fair, stable, and strategy-proof. Adoption of this mechanism benefits cadets and the Army. This new application shows that matching with contracts model is practically relevant beyond traditional domains that satisfy the substitutes condition.

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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 782.

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Length:
Date of creation: 01 May 2011
Date of revision:
Handle: RePEc:boc:bocoec:782

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Related research

Keywords: Market Design; Matching with Contracts; Stability; Strategy-Proofness;

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References

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  1. Alexander Westkamp, 2010. "Market Structure and Matching with Contracts," Bonn Econ Discussion Papers bgse02_2010, University of Bonn, Germany.
  2. Elliott Peranson & Alvin E. Roth, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," American Economic Review, American Economic Association, vol. 89(4), pages 748-780, September.
  3. Benjamin Edelman & Michael Ostrovsky & Michael Schwarz, 2007. "Internet Advertising and the Generalized Second-Price Auction: Selling Billions of Dollars Worth of Keywords," American Economic Review, American Economic Association, vol. 97(1), pages 242-259, March.
  4. Budish, Eric & Cantillon, Estelle, 2010. "The Multi-unit Assignment Problem: Theory and Evidence from Course Allocation at Harvard," CEPR Discussion Papers 7641, C.E.P.R. Discussion Papers.
  5. Parag A. Pathak & Tayfun Sönmez, 2011. "School Admissions Reform in Chicago and England: Comparing Mechanisms by Their Vulnerability to Manipulation," NBER Working Papers 16783, National Bureau of Economic Research, Inc.
  6. Federico Echenique, 2012. "Contracts versus Salaries in Matching," American Economic Review, American Economic Association, vol. 102(1), pages 594-601, February.
  7. Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2003. "Kidney Exchange," Game Theory and Information 0308002, EconWPA.
  8. Onur Kesten, 2010. "School Choice with Consent," The Quarterly Journal of Economics, MIT Press, vol. 125(3), pages 1297-1348, August.
  9. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
  10. 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.
  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.
  12. 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.
  13. Westkamp, Alexander, 2010. "Market structure and matching with contracts," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1724-1738, September.
  14. Varian, Hal R., 2007. "Position auctions," International Journal of Industrial Organization, Elsevier, vol. 25(6), pages 1163-1178, December.
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Citations

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Cited by:
  1. 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.
  2. John William Hatfield & Fuhito Kojima & Yusuke Narita, 2011. "Promoting School Competition Through School Choice: A Market Design Approach," Working Papers 2011-018, Human Capital and Economic Opportunity Working Group.
  3. Tayfun Sönmez, 2011. "Bidding for Army Career Specialties: Improving the ROTC Branching Mechanism," Boston College Working Papers in Economics 783, Boston College Department of Economics.
  4. Orhan Aygün & Tayfun Sönmez, 2012. "Matching with Contracts: The Critical Role of Irrelevance of Rejected Contracts," Boston College Working Papers in Economics 804, Boston College Department of Economics.
  5. 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.

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