IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

School Choice with Controlled Choice Constraints: Hard Bounds versus Soft Bounds

  • Lars Ehlers
  • Isa Hafalir
  • Bumin Yenmez
  • Muhammed Yildirim

Controlled choice over public schools attempts giving options to parents while maintaining diversity, often enforced by setting feasibility constraints with hard upper and lower bounds for each student type. We demonstrate that there might not exist assignments that satisfy standard fairness and non-wastefulness properties; whereas constrained non-wasteful assignments which are fair for same type students always exist. We introduce a "controlled" version of the deferred acceptance algorithm with an improvement stage (CDAAI) that finds a Pareto optimal assignment among such assignments. To achieve fair (across all types) and non-wasteful assignments, we propose the control constraints to be interpreted as soft bounds--flexible limits that regulate school priorities. In this setting, a modified version of the deferred acceptance algorithm (DAASB) finds an assignment that is Pareto optimal among fair assignments while eliciting true preferences. CDAAI and DAASB provide two alternative practical solutions depending on the interpretation of the control constraints.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: https://student-3k.tepper.cmu.edu/gsiadoc/WP/2012-E20.pdf
Our checks indicate that this address may not be valid because: 401 Unauthorized. If this is indeed the case, please notify (Steve Spear)


Download Restriction: no

Paper provided by Carnegie Mellon University, Tepper School of Business in its series GSIA Working Papers with number 2012-E20.

as
in new window

Length:
Date of creation: Nov 2011
Date of revision:
Handle: RePEc:cmu:gsiawp:-1102298478
Contact details of provider: Postal: Tepper School of Business, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213-3890
Web page: http://www.tepper.cmu.edu/

Order Information: Web: http://student-3k.tepper.cmu.edu/gsiadoc/GSIA_WP.asp

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Pathak, Parag A. & Abdulkadiroglu, Atila & Roth, Alvin, 2005. "The New York City High School Match," Scholarly Articles 2562765, Harvard University Department of Economics.
  2. Alexander Westkamp, 2013. "An analysis of the German university admissions system," Economic Theory, Springer, vol. 53(3), pages 561-589, August.
  3. 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.
  4. Alkan, Ahmet & Gale, David, 2003. "Stable schedule matching under revealed preference," Journal of Economic Theory, Elsevier, vol. 112(2), pages 289-306, October.
  5. Hatfield, John William & Kojima, Fuhito, 2009. "Group incentive compatibility for matching with contracts," Games and Economic Behavior, Elsevier, vol. 67(2), pages 745-749, November.
  6. Ruth Mart?ez & Jordi MassóAuthor-Email: jordi.masso@uab.es & Alejandro Neme & Jorge Oviedo, 2003. "On group strategy-proof mechanisms for a many-to-one matching model," UFAE and IAE Working Papers 577.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  7. EHLERS, Lars, 2010. "School Choice with Control," Cahiers de recherche 13-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  8. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
  9. M.Utku Unver, 2003. "Course Bidding at Business Schools," Working Papers 257, University of Pittsburgh, Department of Economics, revised Jan 2003.
  10. Jonathan Guryan, 2001. "Desegregation and Black Dropout Rates," NBER Working Papers 8345, National Bureau of Economic Research, Inc.
  11. David Card & Jesse Rothstein, 2005. "Racial Segregation and the Black-White Test Score Gap," Working Papers 879, Princeton University, Department of Economics, Industrial Relations Section..
  12. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
  13. Eric Budish, 2011. "The Combinatorial Assignment Problem: Approximate Competitive Equilibrium from Equal Incomes," Journal of Political Economy, University of Chicago Press, vol. 119(6), pages 1061 - 1103.
  14. Alcalde, Jose & Romero-Medina, Antonio, 2011. "Re-Reforming the Bostonian System: A Novel Approach to the Schooling Problem," MPRA Paper 28206, University Library of Munich, Germany.
  15. EHLERS, Lars & KLAUS, Bettina, 2012. "Strategy-Proofness makes the Difference: Deferred-Acceptance with Responsive Priorities," Cahiers de recherche 2012-12, Universite de Montreal, Departement de sciences economiques.
  16. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-27, June.
  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. Sönmez, Tayfun & Pathak, Parag A. & Abdulkadiroglu, Atila & Roth, Alvin, 2005. "The Boston Public School Match," Scholarly Articles 2562764, Harvard University Department of Economics.
  19. Tadenuma, Koichi & Thomson, William, 1991. "No-Envy and Consistency in Economies with Indivisible Goods," Econometrica, Econometric Society, vol. 59(6), pages 1755-67, November.
  20. Federico Echenique & Roland G. Fryer Jr & Alex Kaufman, 2006. "Is School Segregation Good or Bad?," American Economic Review, American Economic Association, vol. 96(2), pages 265-269, May.
  21. Roth, Alvin E, 1984. "Stability and Polarization of Interests in Job Matching," Econometrica, Econometric Society, vol. 52(1), pages 47-57, January.
  22. Atila Abdulkadiroglu & Parag Pathak & Alvin E. Roth & Tayfun Sonmez, 2006. "Changing the Boston School Choice Mechanism," NBER Working Papers 11965, National Bureau of Economic Research, Inc.
  23. David M. Cutler & Edward L. Glaeser, 1995. "Are Ghettos Good or Bad?," NBER Working Papers 5163, National Bureau of Economic Research, Inc.
  24. Peter Cramton & Yoav Shoham & Richard Steinberg (ed.), 2006. "Combinatorial Auctions," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033429, June.
  25. Yenmez, M. Bumin & Yildirim, Muhammed Ali & Hafalir, Isa Emin, 2013. "Effective affirmative action in school choice," Theoretical Economics, Econometric Society, vol. 8(2), May.
  26. Haluk Ergin & Tayfun Sönmez, 2005. "Games of School Choice under the Boston Mechanism," Boston College Working Papers in Economics 619, Boston College Department of Economics.
  27. Scott Duke Kominers & Tayfun Sönmez, 2012. "Designing for Diversity: Matching with Slot-Specific Priorities," Boston College Working Papers in Economics 806, Boston College Department of Economics.
  28. Eric A. Hanushek & John F. Kain & Steven G. Rivkin, 2009. "New Evidence about Brown v. Board of Education: The Complex Effects of School Racial Composition on Achievement," Journal of Labor Economics, University of Chicago Press, vol. 27(3), pages 349-383, 07.
  29. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
  30. Eric Budish & Yeon-Koo Che & Fuhito Kojima & Paul Milgrom, 2013. "Designing Random Allocation Mechanisms: Theory and Applications," American Economic Review, American Economic Association, vol. 103(2), pages 585-623, April.
  31. Aytek Erdil & Haluk Ergin, 2008. "What's the Matter with Tie-Breaking? Improving Efficiency in School Choice," American Economic Review, American Economic Association, vol. 98(3), pages 669-89, June.
  32. Fryer, Roland & Echenique, Federico, 2007. "A Measure of Segregation Based on Social Interactions," Scholarly Articles 2958220, Harvard University Department of Economics.
  33. Fuhito Kojima & Mihai Manea, 2010. "Axioms for Deferred Acceptance," Econometrica, Econometric Society, vol. 78(2), pages 633-653, 03.
  34. Kojima, Fuhito, 2012. "School choice: Impossibilities for affirmative action," Games and Economic Behavior, Elsevier, vol. 75(2), pages 685-693.
  35. Paul Milgrom, 2003. "Matching with Contracts," Working Papers 03003, Stanford University, Department of Economics.
  36. Blum, Yosef & Roth, Alvin E. & Rothblum, Uriel G., 1997. "Vacancy Chains and Equilibration in Senior-Level Labor Markets," Journal of Economic Theory, Elsevier, vol. 76(2), pages 362-411, October.
  37. Atila Abdulkadiroglu & Tayfun Smez, 2003. "School Choice: A Mechanism Design Approach," Discussion Papers 0203-18, Columbia University, Department of Economics.
  38. John William Hatfield & Fuhito Kojima, 2008. "Matching with Contracts: Comment," American Economic Review, American Economic Association, vol. 98(3), pages 1189-94, June.
  39. Onur Kesten, 2010. "School Choice with Consent," The Quarterly Journal of Economics, MIT Press, vol. 125(3), pages 1297-1348, August.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:cmu:gsiawp:-1102298478. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Steve Spear)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.