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Approximating Stable Matchings with Ties of Bounded Size

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Algorithmic Game Theory (SAGT 2020)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 12283))

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Abstract

Finding a stable matching is one of the central problems in algorithmic game theory. If participants are allowed to have ties and incomplete lists, computing a stable matching of maximum cardinality is known to be NP-hard. In this paper we present a \((3L-2)/(2L-1)\)-approximation algorithm for the stable matching problem with ties of size at most L and incomplete preferences. Our result matches the known lower bound on the integrality gap for the associated LP formulation.

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Authors and Affiliations

  1. University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Jochen Koenemann & Natig Tofigzade

  2. University of Ottawa, Ottawa, ON, K1N 6N5, Canada

    Kanstantsin Pashkovich

Authors
  1. Jochen Koenemann
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  2. Kanstantsin Pashkovich
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  3. Natig Tofigzade
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Corresponding author

Correspondence to Natig Tofigzade .

Editor information

Editors and Affiliations

  1. Institute of Mathematics, Augsburg University, Augsburg, Germany

    Tobias Harks

  2. Institute of Mathematics, Technical University Berlin, Berlin, Germany

    Max Klimm

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Koenemann, J., Pashkovich, K., Tofigzade, N. (2020). Approximating Stable Matchings with Ties of Bounded Size. In: Harks, T., Klimm, M. (eds) Algorithmic Game Theory. SAGT 2020. Lecture Notes in Computer Science(), vol 12283. Springer, Cham. https://doi.org/10.1007/978-3-030-57980-7_12

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  • DOI: https://doi.org/10.1007/978-3-030-57980-7_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-57979-1

  • Online ISBN: 978-3-030-57980-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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