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


  • Daniel Granot

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


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

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    game theory;


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