Affiliation:
1. School of Economic and Business Sciences University of Witwatersrand at Johannesburg South Africa
Abstract
In this paper we obtain conditions on weak tournaments, which guarantee that every non-empty subset of alternatives admits a stable set. We also show that there exists a unique stable set for each non-empty subset of alternatives which coincides with its set of best elements, if and only if, the weak tournament is quasi-transitive. A somewhat weaker version of this result, which is also established in this paper, is that there exists a unique stable set for each non-empty subset of alternatives (: which may or may not coincide with its set of best elements), if and only if the weak tournament is acyclic.
Publisher
National Library of Serbia
Subject
Management Science and Operations Research
Cited by
4 articles.
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