Majority Decisions and Transitivity: Some Special Cases

Deepak K. Merchant and M. R. Rao
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Deepak K. Merchant: University of Rochester
M. R. Rao: University of Rochester

Management Science, 1976, vol. 23, issue 2, 125-130

Abstract: The problem considered is that of obtaining majority decisions which are transitive. We show that the corresponding optimization problems for the weighted l 1 norm and the weighted l 2 norm are identical. We then show that she general problem of minimizing the weighted l k norm can be equivalently formulated as a set covering problem. Finally, we identify the Tchebycheff problem (l 2 norm) with a class, of bottleneck quadratic assignment problems and give an efficient algorithm for solving it.

Date: 1976
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:23:y:1976:i:2:p:125-130

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