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A Note on the Room-Mates Problem and a Related Revenue Allocation Problem

Author

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  • Daniel Granot

    (Faculty of Commerce and Business Administration, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Y8)

Abstract

We introduce in this note the consistent organizational structure (COS) problem, which can be viewed as a generalization of the college admission and room-mates problems. Both the room-mates problem and the COS problem may have no stable solution. When side payments are allowed, the COS problem, but not the room-mates problem, always has a nonempty core. We further study some nucleoli of the COS problem with side payments.

Suggested Citation

  • Daniel Granot, 1984. "A Note on the Room-Mates Problem and a Related Revenue Allocation Problem," Management Science, INFORMS, vol. 30(5), pages 633-643, May.
    • Handle: RePEc:inm:ormnsc:v:30:y:1984:i:5:p:633-643
    DOI: 10.1287/mnsc.30.5.633
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    Cited by:

    1. Qizhi Fang & Hye Kyung Kim, 2005. "A Note on Balancedness of Dominating Set Games," Journal of Combinatorial Optimization, Springer, vol. 10(4), pages 303-310, December.
    2. Han Xiao & Tianhang Lu & Qizhi Fang, 2021. "Approximate Core Allocations for Multiple Partners Matching Games," Papers 2107.01442, arXiv.org, revised Oct 2021.

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    Keywords

    game theory;

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