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Strategy-Proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match

Author

Listed:
  • Atila Abdulkadiroglu
  • Parag A. Pathak
  • Alvin E. Roth

Abstract

The design of the New York City (NYC) high school match involved trade-offs among efficiency, stability, and strategy-proofness that raise new theoretical questions. We analyze a model with indifferences -- ties -- in school preferences. Simulations with field data and the theory favor breaking indifferences the same way at every school -- single tiebreaking -- in a student-proposing deferred acceptance mechanism. Any inefficiency associated with a realized tiebreaking cannot be removed without harming student incentives. Finally, we empirically document the extent of potential efficiency loss associated with strategy-proofness and stability, and direct attention to some open questions. (JEL C78, D82, I21)

Suggested Citation

  • Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-Proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match," American Economic Review, American Economic Association, vol. 99(5), pages 1954-1978, December.
    • Handle: RePEc:aea:aecrev:v:99:y:2009:i:5:p:1954-78
    Note: DOI: 10.1257/aer.99.5.1954
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    References listed on IDEAS

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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education

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