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Games of school choice under the Boston mechanism with general priority structures

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Abstract

The Boston mechanism is a centralized student assignment mechanism used in many school districts in the US. We investigate strategic behavior of students under the Boston mechanism when schools may have complex priority structures. We show that a stable matching is supported as an outcome of a Nash equilibrium under a general environment. We further show that any outcome of a Nash equilibrium is a stable matching when the school priorities are substitutable.

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References

  • Abdulkadiroğlu A (2005) College admission with affirmative action. Int J Game Theory 33: 535–549

    Article  Google Scholar 

  • Abdulkadiroğlu A, Pathak PA, Roth AE (2005a) The New York City high school match. Am Econ Rev Papers Proc 95: 364–367

    Google Scholar 

  • Abdulkadiroğlu A, Pathak PA, Roth AE, Sönmez T (2005b) The Boston public school match. Am Econ Rev Papers Proc 95: 368–372

    Google Scholar 

  • Abdulkadiroğlu A, Pathak PA, Roth AE, Sönmez T (2006) Changing the Boston school choice mechanism. Harvard University, Unpublished mimeo

  • Abdulkadiroğlu A, Sönmez T (2003) School choice: a mechanism design approach. Am Econ Rev 93: 729–747

    Article  Google Scholar 

  • Balinski M, Sönmez T (1999) A tale of two mechanisms: student placement. J Econ Theory 84: 73–94

    Article  Google Scholar 

  • Ergin H (2002) Efficient resource allocation on the basis of priorities. Econometrica 70: 2489–2498

    Article  Google Scholar 

  • Ergin H, Sönmez T (2006) Games of school choice under the Boston mechanism. J Public Econ 215–237

  • Gale D, Shapley LS (1962) College admissions and the stability of marriage. Am Math Month 69: 9–15

    Article  Google Scholar 

  • Haeringer G, Klijn F (2007) Constrained school choice. mimeo

  • Hatfield JW, Kojima F (2007) Group incentive compatibility for matching with contracts. mimeo

  • Hatfield JW, Milgrom P (2005) Matching with contracts. Am Econ Rev 95: 913–935

    Article  Google Scholar 

  • Kelso A, Crawford V (1982) Job matching, coalition formation, and gross substitutes. Econometrica 50: 1483–1504

    Article  Google Scholar 

  • Roth AE (1984) The evolution of the labor market for medical interns and residents: a case study in game theory. J Polit Econ 92: 991–1016

    Article  Google Scholar 

  • Roth AE, Peranson E (1999) The redesign of the matching market for American physicians: some engineering aspects of economic design. Am Econ Rev 89: 748–780

    Article  Google Scholar 

  • Roth AE, Sotomayor MO (1990) Two-sided matching: a study in game-theoretic modeling and analysis. Econometric Society Monographs, Cambridge

    Google Scholar 

Download references

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Correspondence to Fuhito Kojima.

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Fuhito Kojima is grateful to Alvin E. Roth, Tayfun Sönmez and anonymous referees for insightful comments.

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Kojima, F. Games of school choice under the Boston mechanism with general priority structures. Soc Choice Welfare 31, 357–365 (2008). https://doi.org/10.1007/s00355-007-0287-3

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  • DOI: https://doi.org/10.1007/s00355-007-0287-3

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