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Further Comments on Majority Rule Under Transitivity Constraints

Author

Listed:
  • V. Joseph Bowman

    (Carnegie-Mellon University)

  • C. S. Colantoni

    (Carnegie-Mellon University)

Abstract

In their note [Blin, J. M., A. B. Whinston. 1974. A note on majority rule under transitivity constraints. Management Sci. 20 (11) 1439-1440.], Blin and Whinston indicate that the linear integer programming formulation of the majority voting problem can also be formulated as a quadratic assignment problem. We wish to point out that both of these formulations are a result of the fact that majority decision functions can be linearized over the set of integer solutions to the linear program.

Suggested Citation

  • V. Joseph Bowman & C. S. Colantoni, 1974. "Further Comments on Majority Rule Under Transitivity Constraints," Management Science, INFORMS, vol. 20(11), pages 1441-1441, July.
    • Handle: RePEc:inm:ormnsc:v:20:y:1974:i:11:p:1441-1441
    DOI: 10.1287/mnsc.20.11.1441
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    Cited by:

    1. Jean-Marie Blin, 1976. "Assignment Models in Voting Theory," Discussion Papers 237, Northwestern University, Center for Mathematical Studies in Economics and Management Science.

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