IDEAS home Printed from https://ideas.repec.org/p/zbw/sfb649/sfb649dp2016-003.html
   My bibliography  Save this paper

College admissions with entrance exams: Centralized versus decentralized

Author

Listed:
  • Hafalir, Isa E.
  • Hakimov, Rustamdjan
  • Kübler, Dorothea
  • Kurino, Morimitsu

Abstract

We study a college admissions problem in which colleges accept students by ranking students' efforts in entrance exams. Students' ability levels affect the cost of their efforts. We solve and compare the equilibria of 'centralized college admissions' (CCA) where students apply to all colleges and 'decentralized college admissions' (DCA) where students only apply to one college. We show that lower ability students prefer DCA whereas higher ability students prefer CCA. Many predictions of the theory are supported by a lab experiment designed to test the theory, yet we find a number of differences that render DCA less attractive than CCA compared to the equilibrium benchmark.

Suggested Citation

  • Hafalir, Isa E. & Hakimov, Rustamdjan & Kübler, Dorothea & Kurino, Morimitsu, 2016. "College admissions with entrance exams: Centralized versus decentralized," SFB 649 Discussion Papers 2016-003, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
  • Handle: RePEc:zbw:sfb649:sfb649dp2016-003
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/146172/1/849707773.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    2. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    3. Konrad, Kai A. & Kovenock, Dan, 2012. "The lifeboat problem," European Economic Review, Elsevier, vol. 56(3), pages 552-559.
    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. Hakimov, Rustamdjan, 2016. "Contests at the workplace with and without prize selection: Testing theory in a field experiment," Discussion Papers, Research Unit: Market Behavior SP II 2016-211, WZB Berlin Social Science Center.
    6. Christopher Avery & Soohyung Lee & Alvin E. Roth, 2014. "College Admissions as Non-Price Competition: The Case of South Korea," NBER Working Papers 20774, National Bureau of Economic Research, Inc.
    7. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    8. Moldovanu, Benny & Sela, Aner & Shi, Xianwen, 2008. "Competing auctions with endogenous quantities," Journal of Economic Theory, Elsevier, vol. 141(1), pages 1-27, July.
    9. Benny Moldovanu & Aner Sela & Xianwen Shi, 2012. "Carrots And Sticks: Prizes And Punishments In Contests," Economic Inquiry, Western Economic Association International, vol. 50(2), pages 453-462, April.
    10. John Morgan & Dana Sisak & Felix Vardy, 2012. "On the Merits of Meritocracy," Tinbergen Institute Discussion Papers 12-077/1, Tinbergen Institute.
    11. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    12. Chen, Yan & Sonmez, Tayfun, 2006. "School choice: an experimental study," Journal of Economic Theory, Elsevier, vol. 127(1), pages 202-231, March.
    13. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    14. Ron Siegel, 2009. "All-Pay Contests," Econometrica, Econometric Society, vol. 77(1), pages 71-92, January.
    15. Christopher Avery & Jonathan Levin, 2010. "Early Admissions at Selective Colleges," American Economic Review, American Economic Association, vol. 100(5), pages 2125-2156, December.
    16. Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
    17. M. Bumin Yenmez, 2014. "College Admissions," GSIA Working Papers 2014-E24, Carnegie Mellon University, Tepper School of Business.
    18. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    19. Guilherme Carmona, 2003. "Nash and Limit Equilibria of Games with a Continuum of Players," Game Theory and Information 0311004, University Library of Munich, Germany.
    20. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    21. Nitsan Perach & Uriel Rothblum, 2010. "Incentive compatibility for the stable matching model with an entrance criterion," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 657-667, October.
    22. Chen, Yan & Onur, Kesten, 2013. "From Boston to Chinese parallel to deferred acceptance: Theory and experiments on a family of school choice mechanisms," Discussion Papers, Research Unit: Market Behavior SP II 2013-205, WZB Berlin Social Science Center.
    23. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    24. ,, 2010. "Competing auctions: finite markets and convergence," Theoretical Economics, Econometric Society, vol. 5(2), May.
    25. Yasar Barut & Dan Kovenock & Charles N. Noussair, 2002. "A Comparison of Multiple-Unit All-Pay and Winner-Pay Auctions Under Incomplete Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(3), pages 675-708, August.
    26. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    27. Green, Edward J, 1984. "Continuum and Finite-Player Noncooperative Models of Competition," Econometrica, Econometric Society, vol. 52(4), pages 975-993, July.
    28. Harbring, Christine & Irlenbusch, Bernd, 2003. "An experimental study on tournament design," Labour Economics, Elsevier, vol. 10(4), pages 443-464, August.
    29. Yeon-Koo Che & Youngwoo Koh, 2016. "Decentralized College Admissions," Journal of Political Economy, University of Chicago Press, vol. 124(5), pages 1295-1338.
    30. Gadi Fibich & Arieh Gavious & Aner Sela, 2006. "All-pay auctions with risk-averse players," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(4), pages 583-599, November.
    31. Greiner, Ben, 2004. "An Online Recruitment System for Economic Experiments," MPRA Paper 13513, University Library of Munich, Germany.
    32. Wieland Müller & Andrew Schotter, 2010. "Workaholics and Dropouts in Organizations," Journal of the European Economic Association, MIT Press, vol. 8(4), pages 717-743, June.
    33. Hans Westlund, 2011. "Handbook of social capital: The troika of sociology, political science and economics – Edited by Gert Tinggaard Svendsen and Gunnar Lind Haase Svendsen," Papers in Regional Science, Wiley Blackwell, vol. 90(1), pages 240-241, March.
    34. Aaron Bodoh-Creed & Brent Hickman, 2016. "College Assignment as a Large Contest," Working Papers 2016-27, Becker Friedman Institute for Research In Economics.
    35. Tayfun Sönmez & M. Utku Ünver, 2009. "Matching, Allocation, and Exchange of Discrete Resources," Boston College Working Papers in Economics 717, Boston College Department of Economics.
    36. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
    37. Noussair, Charles & Silver, Jonathon, 2006. "Behavior in all-pay auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 55(1), pages 189-206, April.
    38. John H. Kagel & Alvin E. Roth, 2000. "The Dynamics of Reorganization in Matching Markets: A Laboratory Experiment Motivated by a Natural Experiment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 201-235.
    39. Azar Abizada & Siwei Chen, 2015. "Stability and strategy-proofness for college admissions with an eligibility criterion," Review of Economic Design, Springer;Society for Economic Design, vol. 19(1), pages 47-66, March.
    40. Yan Chen & Onur Kesten, 2017. "Chinese College Admissions and School Choice Reforms: A Theoretical Analysis," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 99-139.
    Full references (including those not matched with items on IDEAS)

    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. repec:hum:wpaper:sfb649dp2016-003 is not listed on IDEAS
    2. Stylianos Despotakis & Isa Hafalir & R. Ravi & Amin Sayedi, 2017. "Expertise in Online Markets," Management Science, INFORMS, vol. 63(11), pages 3895-3910, November.
    3. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    4. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    5. Lian Jian & Zheng Li & Tracy Xiao Liu, 2017. "Simultaneous versus sequential all-pay auctions: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 648-669, September.
    6. Andreoni, James & Brownback, Andy, 2017. "All pay auctions and group size: Grading on a curve and other applications," Journal of Economic Behavior & Organization, Elsevier, vol. 137(C), pages 361-373.
    7. Dietmar Fehr & Julia Schmid, 2018. "Exclusion in all‐pay auctions: An experimental investigation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 27(2), pages 326-339, June.
    8. Loukas Balafoutas & E. Glenn Dutcher & Florian Lindner & Dmitry Ryvkin, 2017. "The Optimal Allocation Of Prizes In Tournaments Of Heterogeneous Agents," Economic Inquiry, Western Economic Association International, vol. 55(1), pages 461-478, January.
    9. Dutcher, E. Glenn & Balafoutas, Loukas & Lindner, Florian & Ryvkin, Dmitry & Sutter, Matthias, 2015. "Strive to be first or avoid being last: An experiment on relative performance incentives," Games and Economic Behavior, Elsevier, vol. 94(C), pages 39-56.
    10. James Andreoni & Andy Brownback, 2014. "Grading on a Curve, and other Effects of Group Size on All-Pay Auctions," NBER Working Papers 20184, National Bureau of Economic Research, Inc.
    11. Diego Aycinena & Rimvydas Baltaduonis & Lucas Rentschler, 2019. "Valuation structure in incomplete information contests: experimental evidence," Public Choice, Springer, vol. 179(3), pages 195-208, June.
    12. Blake A. Allison & Jason J. Lepore & Aric P. Shafran, 2021. "Prize Scarcity And Overdissipation In All‐Pay Auctions," Economic Inquiry, Western Economic Association International, vol. 59(1), pages 361-374, January.
    13. Christiane Ernst & Christian Thöni, 2013. "Bimodal Bidding in Experimental All-Pay Auctions," Games, MDPI, vol. 4(4), pages 1-16, October.
    14. Llorente-Saguer, Aniol & Sheremeta, Roman M. & Szech, Nora, 2023. "Designing contests between heterogeneous contestants: An experimental study of tie-breaks and bid-caps in all-pay auctions," European Economic Review, Elsevier, vol. 154(C).
    15. Lauber, Arne & March, Christoph & Sahm, Marco, 2023. "Optimal and fair prizing in sequential round-robin tournaments: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 141(C), pages 30-51.
    16. Wu, Binzhen & Zhong, Xiaohan, 2020. "Matching inequality and strategic behavior under the Boston mechanism: Evidence from China's college admissions," Games and Economic Behavior, Elsevier, vol. 123(C), pages 1-21.
    17. HHironori Otsubo, 2012. "Contests with Incumbency Advantages: An Experiment Investigation of the Effect of Limits on Spending Behavior and Outcome," Jena Economics Research Papers 2012-020, Friedrich-Schiller-University Jena.
    18. Oliver Kirchkamp & Wladislaw Mill, 2019. "Spite vs. risk: explaining overbidding," CESifo Working Paper Series 7631, CESifo.
    19. Cason, Timothy N. & Masters, William A. & Sheremeta, Roman M., 2020. "Winner-take-all and proportional-prize contests: Theory and experimental results," Journal of Economic Behavior & Organization, Elsevier, vol. 175(C), pages 314-327.
    20. 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.
    21. Thierry Magnac, 2018. "Quels étudiants pour quelles universités ? Analyses empiriques de mécanismes d’allocation centralisée," Revue économique, Presses de Sciences-Po, vol. 69(5), pages 683-708.

    More about this item

    Keywords

    college admissions; incomplete information; student welfare; contests; all-pay auctions; experiment;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:zbw:sfb649:sfb649dp2016-003. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/sohubde.html .

    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.