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Perron vector ordering for a subclass of tournament matrices

✍ Scribed by Steve Kirkland

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
988 KB
Volume
291
Category
Article
ISSN
0024-3795

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✦ Synopsis

We consider the class of 11)( i1 tournament matrices having sCO!".' vector [1 1 2 3 ... 11 -4 11 -3 11 -2 II -2]', For each such matrix. we give formulas for the entries in its perron vector in terms of the corresponding pcrron value. This leads to a discussion of the ordering or the entries in the pcrron vector. and so yields some insight into the Kendall Wei method for ranking players in a round robin competition. Finally. we characterize all matrices from this class such that the ordering of the entries in the perron vector coincides with the ordering or the entries in the score vector.

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