The minimal covering set in large tournaments

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چکیده

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The minimal covering set in large tournaments

We prove that in almost all large tournaments, the minimal covering set is the entire set of alternatives. That is, as the number of alternatives gets large, the probability that the minimal covering set of a uniformly chosen random tournament is the entire set of alternatives goes to one. By contrast, it follows from a result of Fisher and Reeves (1995) that the bipartisan set contains about h...

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ژورنال

عنوان ژورنال: Social Choice and Welfare

سال: 2010

ISSN: 0176-1714,1432-217X

DOI: 10.1007/s00355-010-0503-4