Orderings by intergenerational mobility based on the semiring of monotone matrix
Branka Janković, Endre Pap · 2011
The paper studies Shorrocks' and Blackwell's ordering in a semiring of monotone doubly stochastic matrices. It gives the relationship between these two orderings, and it is proven that these orderings are compatible with Dardanoni's partial ordering on a set of monotone matrices.