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Manipulating the outcome of stable marriage and roommates problems

Author

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  • Bérczi, Kristóf
  • Csáji, Gergely
  • Király, Tamás

Abstract

The stable marriage and stable roommates problems have been extensively studied due to their applicability in various real-world scenarios. However, it might happen that no stable solution exists, or stable solutions do not meet certain requirements. In such cases, one might be interested in modifying the instance so that the existence of a stable outcome with the desired properties is ensured. We focus on three different modifications.

Suggested Citation

  • Bérczi, Kristóf & Csáji, Gergely & Király, Tamás, 2024. "Manipulating the outcome of stable marriage and roommates problems," Games and Economic Behavior, Elsevier, vol. 147(C), pages 407-428.
    • Handle: RePEc:eee:gamebe:v:147:y:2024:i:c:p:407-428
    DOI: 10.1016/j.geb.2024.08.010
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    References listed on IDEAS

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    1. Agnes Cseh & Klaus Heeger, 2020. "The stable marriage problem with ties and restricted edges," CERS-IE WORKING PAPERS 2007, Institute of Economics, Centre for Economic and Regional Studies.
    2. H. W. Kuhn, 1955. "The Hungarian method for the assignment problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 2(1‐2), pages 83-97, March.
    3. Agnes Cseh & Klaus Heeger, 2020. "The stable marriage problem with ties and restricted edges," IEHAS Discussion Papers 2007, Institute of Economics, Centre for Economic and Regional Studies.
    4. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
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