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On the likelihood of cyclic comparisons
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Rubinstein, Ariel and Segal, U. (Uzi) (2012) On the likelihood of cyclic comparisons. Journal of Economic Theory, Volume 147 (Number 6). pp. 2483-2491. doi:10.1016/j.jet.2012.05.005 ISSN 0022-0531.
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Official URL: http://dx.doi.org/10.1016/j.jet.2012.05.005
Abstract
One problem caused by cycles of choice functions is indecisiveness—decision makers will be paralyzed when they face choice sets with more than two options. We investigate the procedure of “random sampling” where the alternatives are random variables. When comparing any two alternatives, the decision maker samples each of the alternatives once and ranks them according to the comparison between the two realizations. We show that while this procedure may lead to violations of transitivity, the probability of such cycles is bounded from above by 8/27. Even lower bounds are obtained for some other related procedures.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Social Sciences > Warwick Business School > Behavioural Science Faculty of Social Sciences > Warwick Business School |
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Journal or Publication Title: | Journal of Economic Theory | ||||
Publisher: | Academic Press | ||||
ISSN: | 0022-0531 | ||||
Official Date: | November 2012 | ||||
Dates: |
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Volume: | Volume 147 | ||||
Number: | Number 6 | ||||
Number of Pages: | 8 | ||||
Page Range: | pp. 2483-2491 | ||||
DOI: | 10.1016/j.jet.2012.05.005 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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