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Cadet-Branch Matching in a Kelso-Crawford Economy

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  • Ravi Jagadeesan

Abstract

Sonmez (2013) and Sonmez and Switzer (2013) used matching theory with unilaterally substitutable priorities to propose mechanisms to match cadets to military branches. This paper shows that, alternatively, the Sonmez and Sonmez-Switzer mechanisms can be constructed as descending salary adjustment processes in Kelso-Crawford (1982) economies in which cadets are (grossly) substitutable. The lengths of service contracts serve as (inverse) salaries. The underlying substitutability explains the unilateral substitutability of the priorities utilized by Sonmez and Sonmez-Switzer.

Suggested Citation

  • Ravi Jagadeesan, 2019. "Cadet-Branch Matching in a Kelso-Crawford Economy," American Economic Journal: Microeconomics, American Economic Association, vol. 11(3), pages 191-224, August.
    • Handle: RePEc:aea:aejmic:v:11:y:2019:i:3:p:191-224
    Note: DOI: 10.1257/mic.20170192
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    References listed on IDEAS

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    1. 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.
    2. Zhang, Jun, 2016. "On sufficient conditions for the existence of stable matchings with contracts," Economics Letters, Elsevier, vol. 145(C), pages 230-234.
    3. Kadam, Sangram V, 2014. "Unilateral Substitutability implies Substitutable completability in many-to-one matching with contracts," Working Paper 139666, Harvard University OpenScholar.
    4. Kominers, Scott Duke & Sönmez, Tayfun, 2016. "Matching with slot-specific priorities: theory," Theoretical Economics, Econometric Society, vol. 11(2), May.
    5. Kadam, Sangram Vilasrao, 2017. "Unilateral substitutability implies substitutable completability in many-to-one matching with contracts," Games and Economic Behavior, Elsevier, vol. 102(C), pages 56-68.
    6. Orhan Ayg?n & Tayfun S?nmez, 2013. "Matching with Contracts: Comment," American Economic Review, American Economic Association, vol. 103(5), pages 2050-2051, August.
    7. 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.
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    Citations

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    Cited by:

    1. Kyle Greenberg & Parag A. Pathak & Tayfun Sönmez, 2024. "Redesigning the US Army's Branching Process: A Case Study in Minimalist Market Design," American Economic Review, American Economic Association, vol. 114(4), pages 1070-1106, April.
    2. Avataneo, Michelle & Turhan, Bertan, 2021. "Slot-specific priorities with capacity transfers," Games and Economic Behavior, Elsevier, vol. 129(C), pages 536-548.
    3. Kyle Greenberg & Parag A. Pathak & Tayfun Sönmez, 2020. "Mechanism Design meets Priority Design: Redesigning the US Army’s Branching Process Through Market Design," Boston College Working Papers in Economics 1035, Boston College Department of Economics.
    4. Schlegel, Jan Christoph, 2020. "Equivalent choice functions and stable mechanisms," Games and Economic Behavior, Elsevier, vol. 123(C), pages 41-53.
    5. Kyle Greenberg & Parag A. Pathak & Tayfun Sonmez, 2021. "Mechanism Design meets Priority Design: Redesigning the US Army's Branching Process," Papers 2106.06582, arXiv.org.

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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J45 - Labor and Demographic Economics - - Particular Labor Markets - - - Public Sector Labor Markets

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