2 problems

Let two sets of points in the unit interval be ordered by their order statistics, and let the cost of a matching be given by a concave function of the distance between matched poin…

Consider transport costs of the form $c(x,y)=|x-y|^{\alpha}$ with $\alpha\in(0,1]$. For a configuration of four points, the local indicator is either positive for every $\alpha$, o…