Capacity Planning in Stable Matching

Published Online:https://doi.org/10.1287/opre.2023.0386

References

  • Abdulkadiroğlu A, Sönmez T (2003) School choice: A mechanism design approach. Amer. Econom. Rev. 93(3):729–747.CrossrefGoogle Scholar
  • Abdulkadiroğlu A, Che YK, Yasuda Y (2011) Resolving conflicting preferences in school choice: The “Boston mechanism” reconsidered. Amer. Econom. Rev. 101(1):399–410.CrossrefGoogle Scholar
  • Abdulkadiroğlu A, Pathak PA, Roth AE (2009) Strategy-proofness versus efficiency in matching with indifferences: Redesigning the NYC high school match. Amer. Econom. Rev. 99(5):1954–1978.CrossrefGoogle Scholar
  • Abdulkadiroğlu A, Pathak PA, Roth AE, Sönmez T (2005) The Boston public school match. Amer. Econom. Rev. 95(2):368–371.CrossrefGoogle Scholar
  • Abe K, Komiyama J, Iwasaki A (2022) Anytime capacity expansion in medical residency match by Monte Carlo tree search: Data-driven robust optimization. Preprint, submitted February 14, https://arxiv.org/abs/2202.06570.Google Scholar
  • Afacan MO, Dur U, Van der Linden M (2024) Capacity design in school choice. Games Econom. Behav. 146:277–291.CrossrefGoogle Scholar
  • Ágoston KC, Biró P, McBride I (2016) Integer programming methods for special college admissions problems. J. Combin. Optim. 32(4):1371–1399.CrossrefGoogle Scholar
  • Ágoston KC, Biró P, Kováts E, Jank Z (2022) College admissions with ties and common quotas: Integer programming approach. Eur. J. Oper. Res. 299(2):722–734.Google Scholar
  • Ahani N, Andersson T, Martinello A, Teytelboym A, Trapp AC (2021) Placement optimization in refugee resettlement. Oper. Res. 69(5):1468–1486.LinkGoogle Scholar
  • Allman M, Ashlagi I, Lo I, Love J, Mentzer K, Ruiz-Setz L, O’Connell H (2022) Designing school choice for diversity in the San Francisco Unified School District. Proc. 23rd ACM Conf. Econom. Comput. (ACM, New York), 290–291.Google Scholar
  • Andersson T, Ehlers L (2020) Assigning refugees to landlords in Sweden: Efficient, stable, and maximum matchings. Scandinavian J. Econom. 122(3):937–965.CrossrefGoogle Scholar
  • Arnosti N (2015) Short lists in centralized clearinghouses. Proc. 16th ACM Conf. Econom. Computat. (ACM, New York).Google Scholar
  • Ashlagi I, Shi P (2016) Optimal allocation without money: An engineering approach. Management Sci. 62(4):1078–1097.LinkGoogle Scholar
  • Ashlagi I, Nikzad A, Romm A (2019) Assigning more students to their top choices: A comparison of tie-breaking rules. Games Econom. Behav. 115:167–187.CrossrefGoogle Scholar
  • Azevedo EA, Budish E (2018) Strategy-proofness in the large. Rev. Econom. Stud. 86(1):81–116.Google Scholar
  • Aziz H, Brandl F (2021) Efficient, fair, and incentive-compatible healthcare rationing. Preprint, submitted February 8, https://arxiv.org/abs/2102.04384.Google Scholar
  • Baïou M, Balinski M (2000) The stable admissions polytope. Math. Programming 87(3):427–439.CrossrefGoogle Scholar
  • Baïou M, Balinski M (2004) Student admissions and faculty recruitment. Theoret. Comput. Sci. 322(2):245–265.CrossrefGoogle Scholar
  • Balinski M, Sönmez T (1999) A tale of two mechanisms: Student placement. J. Econom. Theory 84(1):73–94.CrossrefGoogle Scholar
  • Bobbio F (2024) Dynamic capacities and priorities in stable matching. Unpublished PhD thesis, Université de Montréal, Montreal.Google Scholar
  • Bobbio F, Carvalho M, Lodi A, Torrico A (2022) Capacity variation in the many-to-one stable matching problem. Preprint, submitted May 3, https://arxiv.org/abs/2205.01302.Google Scholar
  • Bobbio F, Carvalho M, Lodi A, Rios I, Torrico A (2025) Simulation files and data. https://doi.org/10.1287/opre.2023.0386.cd, https://github.com/ORJournal/2023.0386.Google Scholar
  • Bodoh-Creed AL (2020) Optimizing for distributional goals in school choice problems. Management Sci. 66(8):3657–3676.LinkGoogle Scholar
  • Budish E, Cachon G, Kessler J, Othman A (2016) Course match: A largescale implementation of approximate competitive equilibrium from equal incomes for combinatorial allocation. Oper. Res. 65(2):314–336.LinkGoogle Scholar
  • Calsamiglia C, Güell M (2018) Priorities in school choice: The case of the Boston mechanism in Barcelona. J. Public Econom. 163:20–36.CrossrefGoogle Scholar
  • Caro F, Shirabe T, Guignard M, Weintraub A (2004) School redistricting: Embedding GIS tools with integer programming. J. Oper. Res. Soc. 55(8):836–849.CrossrefGoogle Scholar
  • Correa J, Epstein N, Epstein R, Escobar J, Rios I, Aramayo N, Bahamondes B, et al. (2022) School choice in Chile. Oper. Res. 70(2):1066–1087.LinkGoogle Scholar
  • Delacretaz D, Kominers SD, Teytelboym A (2016) Matching mechanisms for refugee resettlement. Amer. Econom. Rev. 113(10):2689–2717.Google Scholar
  • Delorme M, García S, Gondzio J, Kalcsics J, Manlove D, Pettersson W (2019) Mathematical models for stable matching problems with ties and incomplete lists. Eur. J. Oper. Res. 277(2):426–441.CrossrefGoogle Scholar
  • Dubins LE, Freedman DA (1981) Machiavelli and the Gale-Shapley algorithm. Amer. Math. Monthly 88(7):485–494.CrossrefGoogle Scholar
  • Ehlers L (2010) School choice with control, cahiers de recherche 2010-05, Universite de Montreal, Department de sciences economiques.Google Scholar
  • Feigenbaum I, Kanoria Y, Lo I, Sethuraman J (2020) Dynamic matching in school choice: Efficient seat reassignment after late cancellations. Management Sci. 66(11):5341–5361.LinkGoogle Scholar
  • Gale D, Shapley LS (1962) College admissions and the stability of marriage. Amer. Math. Monthly 69(1):9–15.CrossrefGoogle Scholar
  • Gusfield D, Irving RW (1989) The Stable Marriage Problem: Structure and Algorithms (MIT Press, Cambridge, MA).Google Scholar
  • Hafalir IE, Yenmez MB, Yildirim MA (2013) Effective affirmative action in school choice. Theoret. Econom. 8(2):325–363.CrossrefGoogle Scholar
  • Kojima F, Tamura A, Yokoo M (2018) Designing matching mechanisms under constraints: An approach from discrete convex analysis. J. Econom. Theory 176:803–833.CrossrefGoogle Scholar
  • Kumano T, Kurino M, et al. (2022) Quota adjustment process. Technical report, Institute for Economics Studies, Keio University, Tokyo.Google Scholar
  • Kurata R, Hamada N, Iwasaki A, Yokoo M (2017) Controlled school choice with soft bounds and overlapping types. J. Artificial Intelligence Res. 58(1):153–184.CrossrefGoogle Scholar
  • Kwanashie A, Manlove DF (2014) An integer programming approach to the hospitals/residents problem with ties. Oper. Res. Proc. 2013 (Springer, Cham, Switzerland), 263–269.Google Scholar
  • Manlove D (2013) Algorithmics of Matching Under Preferences, vol. 2 (World Scientific).CrossrefGoogle Scholar
  • MINEDUC (2022) Plan de Fortalecimiento de Matrícula. Accessed June 7, 2024, https://www.mineduc.cl/plan-de-fortalecimiento-de-matricula/.Google Scholar
  • National Center for Education Statistics (1999) Condition of America’s public school facilities: 1999.Google Scholar
  • Pathak PA, Sönmez T (2008) Leveling the playing field: Sincere and sophisticated players in the Boston mechanism. Amer. Econom. Rev. 98(4):1636–1652.CrossrefGoogle Scholar
  • Pathak PA, Sönmez T, Ünver MU, Yenmez MB (2023) Fair allocation of vaccines, ventilators and antiviral treatments: Leaving no ethical value behind health care rationing. Management Sci. 70(6):3999–4036.Google Scholar
  • Rios I, Bobbio F, Carvalho M, Torrico A (2024) Stable matching with contingent priorities. Proc. 26th ACM Conf. Econom. Comput. (ACM, New York), 576.Google Scholar
  • Rios I, Larroucau T, Parra G, Cominetti R (2021) Improving the Chilean college admissions system. Oper. Res. 69(4):1186–1205.LinkGoogle Scholar
  • Romm A, Roth AE, Shorrer RI (2020) Stability vs. no justified envy. Games Econom. Behav. 148:357–366.Google Scholar
  • Roth AE (1982) The economics of matching: Stability and incentives. Math. Oper. Res. 7(4):617–628.LinkGoogle Scholar
  • Roth AE (1986) On the allocation of residents to rural hospitals: A general property of two-sided matching markets. Econometrica 54(2):425–427.CrossrefGoogle Scholar
  • Roth AE (2002) The economist as engineer: Game theory, experimentation, and computation as tools for design economics. Econometrica 70(4):1341–1378.CrossrefGoogle Scholar
  • Roth AE, Sotomayor MAO (1990) Two-Sided Matching: A Study in Game-Theoretic Modeling and Analysis (Cambridge University Press, Cambridge, MA).CrossrefGoogle Scholar
  • Roth AE, Rothblum UG, Vande Vate JH (1993) Stable matchings, optimal assignments, and linear programming. Math. Oper. Res. 18(4):803–828.LinkGoogle Scholar
  • Rothblum UG (1992) Characterization of stable matchings as extreme points of a polytope. Math. Programming 54(1):57–67.CrossrefGoogle Scholar
  • Shi P (2016) Assortment planning in school choice. http://faculty.marshall.usc.edu/Peng-Shi/papers/assortment-planning-in-school-choice.pdf.Google Scholar
  • Sönmez T, Yenmez M (2019) Affirmative action with overlapping reserves. http://fmwww.bc.edu/EC-P/wp990.pdf.Google Scholar
  • Vate JHV (1989) Linear programming brings marital bliss. Oper. Res. Lett. 8(3):147–153.CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.