IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v197y2021ics0022053121001460.html
   My bibliography  Save this article

Strategic disaggregation in matching markets

Author

Listed:
  • Nei, Stephen
  • Pakzad-Hurson, Bobak

Abstract

Decisions agents make before and after matching can be strategically linked through the match. We demonstrate this linkage in a game where universities either require students to commit to majors before matriculating or allow students to pick majors during their studies. The interaction between “matching forces” (competition for higher quality students) and “principal-agent forces” (moral hazard and adverse selection) leads to two equilibria that mirror the admissions systems in the US and England. With monetary transfers, our model provides insights into athletic scholarships. Payment caps that restrict transfers to potential athletes who decide not to play sports can maximize welfare.

Suggested Citation

  • Nei, Stephen & Pakzad-Hurson, Bobak, 2021. "Strategic disaggregation in matching markets," Journal of Economic Theory, Elsevier, vol. 197(C).
  • Handle: RePEc:eee:jetheo:v:197:y:2021:i:c:s0022053121001460
    DOI: 10.1016/j.jet.2021.105329
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053121001460
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jet.2021.105329?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Cole, Harold L. & Mailath, George J. & Postlewaite, Andrew, 2001. "Efficient Non-Contractible Investments in Large Economies," Journal of Economic Theory, Elsevier, vol. 101(2), pages 333-373, December.
    2. Tamás Fleiner, 2003. "A Fixed-Point Approach to Stable Matchings and Some Applications," Mathematics of Operations Research, INFORMS, vol. 28(1), pages 103-126, February.
    3. Sam-Ho Lee, 2009. "Jumping The Curse: Early Contracting With Private Information In University Admissions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(1), pages 1-38, February.
    4. Hector Chade & Gregory Lewis & Lones Smith, 2014. "Student Portfolios and the College Admissions Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(3), pages 971-1002.
    5. Georg Nöldeke & Larry Samuelson, 2015. "Investment and Competitive Matching," Econometrica, Econometric Society, vol. 83(3), pages 835-896, May.
    6. William P. Rogerson, 1992. "Contractual Solutions to the Hold-Up Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 777-793.
    7. Michael Peters & Aloysius Siow, 2002. "Competing Premarital Investments," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 592-608, June.
    8. Joseph G. Altonji & Erica Blom & Costas Meghir, 2012. "Heterogeneity in Human Capital Investments: High School Curriculum, College Major, and Careers," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 185-223, July.
    9. Yeon-Koo Che & Youngwoo Koh, 2016. "Decentralized College Admissions," Journal of Political Economy, University of Chicago Press, vol. 124(5), pages 1295-1338.
    10. Yenmez, M. Bumin, 2018. "A college admissions clearinghouse," Journal of Economic Theory, Elsevier, vol. 176(C), pages 859-885.
    11. Matthew Wiswall & Basit Zafar, 2015. "Determinants of College Major Choice: Identification using an Information Experiment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(2), pages 791-824.
    12. Paola Bordon & Chao Fu, 2015. "College-Major Choice to College-Then-Major Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(4), pages 1247-1288.
    13. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    14. Christopher Avery & Jonathan Levin, 2010. "Early Admissions at Selective Colleges," American Economic Review, American Economic Association, vol. 100(5), pages 2125-2156, December.
    15. Cole Harold Linh & Mailath George J. & Postlewaite Andrew, 2001. "Efficient Non-Contractible Investments in Finite Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-34, March.
    16. Mailath, George J. & Postlewaite, Andrew & Samuelson, Larry, 2013. "Pricing and investments in matching markets," Theoretical Economics, Econometric Society, vol. 8(2), May.
    17. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    18. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
    19. Allen R. Sanderson & John J. Siegfried, 2015. "The Case for Paying College Athletes," Journal of Economic Perspectives, American Economic Association, vol. 29(1), pages 115-138, Winter.
    20. Daron Acemoglu, 1996. "A Microfoundation for Social Increasing Returns in Human Capital Accumulation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(3), pages 779-804.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zeky Murra-Anton, 2022. "Financial aid and early admissions at selective need-blind colleges," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(3), pages 833-870, October.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tomoeda, Kentaro, 2019. "Efficient investments in the implementation problem," Journal of Economic Theory, Elsevier, vol. 182(C), pages 247-278.
    2. Elliott, M. & Talamàs, E., 2020. "Bargaining Foundations for Price Taking in Matching Markets," Cambridge Working Papers in Economics 2070, Faculty of Economics, University of Cambridge.
    3. Pedro Luis Silva, 2024. "Specialists or All-Rounders: How Best to Select University Students?," Journal of Human Capital, University of Chicago Press, vol. 18(2), pages 227-271.
    4. Fernanda Estevan & Thomas Gall & Louis-Philippe Morin, 2019. "Can Affirmative Action Affect Major Choice?," Boston University - Department of Economics - The Institute for Economic Development Working Papers Series dp-324, Boston University - Department of Economics.
    5. Chen, Wei-Cheng & Chen, Yi-Yi & Kao, Yi-Cheng, 2018. "Limited choice in college admissions: An experimental study," Games and Economic Behavior, Elsevier, vol. 108(C), pages 295-316.
    6. Yenmez, M. Bumin, 2018. "A college admissions clearinghouse," Journal of Economic Theory, Elsevier, vol. 176(C), pages 859-885.
    7. Dennis Epple & Richard Romano & Sinan Sarpça & Holger Sieg & Melanie Zaber, 2019. "Market power and price discrimination in the US market for higher education," RAND Journal of Economics, RAND Corporation, vol. 50(1), pages 201-225, March.
    8. Hatfield, John William & Kojima, Fuhito & Narita, Yusuke, 2016. "Improving schools through school choice: A market design approach," Journal of Economic Theory, Elsevier, vol. 166(C), pages 186-211.
    9. Dizdar, Deniz & Moldovanu, Benny & Szech, Nora, 2019. "The feedback effect in two-sided markets with bilateral investments," Journal of Economic Theory, Elsevier, vol. 182(C), pages 106-142.
    10. Shingo Ishiguro, 2010. "Holdup, search, and inefficiency," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 307-338, August.
    11. Zeky Murra-Anton, 2022. "Financial aid and early admissions at selective need-blind colleges," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(3), pages 833-870, October.
    12. Somouaoga Bonkoungou, 2021. "Decentralized college admissions under single application," Review of Economic Design, Springer;Society for Economic Design, vol. 25(1), pages 65-91, June.
    13. Dizdar, Deniz & Moldovanu, Benny, 2016. "On the importance of uniform sharing rules for efficient matching," Journal of Economic Theory, Elsevier, vol. 165(C), pages 106-123.
    14. Kolpin, Van & Stater, Mark, 2024. "The perverse equilibrium effects of state and federal student aid in higher education," Journal of Economic Behavior & Organization, Elsevier, vol. 217(C), pages 679-691.
    15. Dessein, Wouter & Frankel, Alexander & Kartik, Navin, 2023. "Test-Optional Admissions," CEPR Discussion Papers 18090, C.E.P.R. Discussion Papers.
    16. Chen, Peter & Egesdal, Michael & Pycia, Marek & Yenmez, M. Bumin, 2016. "Median stable matchings in two-sided markets," Games and Economic Behavior, Elsevier, vol. 97(C), pages 64-69.
    17. Danilov, Vladimir I. & Karzanov, Alexander V., 2023. "Stable and meta-stable contract networks," Journal of Mathematical Economics, Elsevier, vol. 108(C).
    18. Leonardo Felli & Kevin Roberts, 2016. "Does Competition Solve the Hold-up Problem?," Economica, London School of Economics and Political Science, vol. 83(329), pages 172-200, January.
    19. Benjamin Tello, 2022. "Stability and Contractual Efficiency in Matching with Contracts and Lexicographic Preferences," Economics Bulletin, AccessEcon, vol. 42(1), pages 41-48.
    20. 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.

    More about this item

    Keywords

    Matching with contracts; College admissions; Athletic scholarships;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education
    • I23 - Health, Education, and Welfare - - Education - - - Higher Education; Research Institutions

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jetheo:v:197:y:2021:i:c:s0022053121001460. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.