Comparing orders, rankings, queues, tournaments and lists

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Abstract

We study measures on orders that are based on the swaps needed to convert one order into the other. Two classes of of such measures are characterized. In one class, the necessary swaps between orders are weighted by their positions in the orders. In the other class, these swaps are weighted by the alternatives involved in these swaps. The results are realized by means of the betweenness condition and several other natural or well-known derivates. As the axioms are formulated on abstract domains of orders, they apply to all well-known sets of orderings. As
a by-product we also show some logical dependencies in the well established characterization result of Kemeny (1959).
Original languageEnglish
Place of PublicationMaastricht
PublisherMaastricht University, Graduate School of Business and Economics
Number of pages26
DOIs
Publication statusPublished - 1 Jan 2015

Publication series

SeriesGSBE Research Memoranda
Number020

Cite this

Can, B., & Storcken, A. J. A. (2015). Comparing orders, rankings, queues, tournaments and lists. Maastricht University, Graduate School of Business and Economics. GSBE Research Memoranda, No. 020 https://doi.org/10.26481/umagsb.2015020