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

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  • Daniel Granot

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

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    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.

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    File URL: http://dx.doi.org/10.1287/mnsc.30.5.633
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 30 (1984)
    Issue (Month): 5 (May)
    Pages: 633-643

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    Handle: RePEc:inm:ormnsc:v:30:y:1984:i:5:p:633-643

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    Keywords: game theory;

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