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NoteA Note on Majority Rule under Transitivity Constraints

NoteA Note on Majority Rule under Transitivity Constraints In a recent paper [Bowman, V. J., C. S. Colantoni. 1973. Majority rule under transitivity constraints. Management Sci. 19 (9, May) 10291041.] Bowman and Colantoni have described an optimization model which they relate to problems of majority voting in the theory of social choice. Their optimization model was a linear integer programming problem. The purpose of this note is to indicate that an alternative view may be more useful viz. formulating the problem as a quadratic assignment type. We have discussed this in detail elsewhere [Blin, J. M., K. S. Fu, K. B. Moberg, A. B. Whinston. 1973. Optimization theory and social choice. Proceedings of the Sixth Hawaiian International Conference on Systems Science. Supplement on Urban and Regional Systems: Modelling Analysis and Decision Making. University of Hawaii.] and will limit ourselves here to some brief comments. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Management Science INFORMS

NoteA Note on Majority Rule under Transitivity Constraints

Blin, J. M.; Whinston, A. B.
Management Science , Volume 20 (11): 2 – Jul 1, 1974
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Publisher
INFORMS
Copyright
Copyright © INFORMS
Subject
Note
ISSN
0025-1909
eISSN
1526-5501
DOI
10.1287/mnsc.20.11.1439
Publisher site
See Article on Publisher Site

Abstract

In a recent paper [Bowman, V. J., C. S. Colantoni. 1973. Majority rule under transitivity constraints. Management Sci. 19 (9, May) 10291041.] Bowman and Colantoni have described an optimization model which they relate to problems of majority voting in the theory of social choice. Their optimization model was a linear integer programming problem. The purpose of this note is to indicate that an alternative view may be more useful viz. formulating the problem as a quadratic assignment type. We have discussed this in detail elsewhere [Blin, J. M., K. S. Fu, K. B. Moberg, A. B. Whinston. 1973. Optimization theory and social choice. Proceedings of the Sixth Hawaiian International Conference on Systems Science. Supplement on Urban and Regional Systems: Modelling Analysis and Decision Making. University of Hawaii.] and will limit ourselves here to some brief comments.

Journal

Management Science – INFORMS

Published: Jul 1, 1974

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