Comparing orders, rankings, queues, tournaments and lists
Burak Can, A.J.A. Storcken · RePEc: Research Papers in Economics · 2015
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).