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Speeding up deferred acceptance

Author

Listed:
  • Gregory Z. Gutin
  • Daniel Karapetyan
  • Philip R. Neary
  • Alexander Vickery
  • Anders Yeo

Abstract

A run of the deferred acceptance (DA) algorithm may contain proposals that are sure to be rejected. We introduce the accelerated deferred acceptance algorithm that proceeds in a similar manner to DA but with sure-to-be rejected proposals ruled out. Accelerated deferred acceptance outputs the same stable matching as DA but does so more efficiently: it terminates in weakly fewer rounds, requires weakly fewer proposals, and final pairs match no later. Computational experiments show that these efficiency savings can be strict.

Suggested Citation

  • Gregory Z. Gutin & Daniel Karapetyan & Philip R. Neary & Alexander Vickery & Anders Yeo, 2024. "Speeding up deferred acceptance," Papers 2409.06865, arXiv.org.
    • Handle: RePEc:arx:papers:2409.06865
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    References listed on IDEAS

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    1. Bó, Inácio & Hakimov, Rustamdjan, 2022. "The iterative deferred acceptance mechanism," Games and Economic Behavior, Elsevier, vol. 135(C), pages 411-433.
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    6. 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.
    7. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
    8. Gregory Gutin & Philip R. Neary & Anders Yeo, 2022. "Finding all stable matchings with assignment constraints," Papers 2204.03989, arXiv.org, revised Jun 2024.
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