Correctness of Kruskal's algorithms for monotone regression with ties

Kruskal has proposed two modifications of monotone regression that can be applied if there are ties in nonmetric scaling data. In this note we prove Kruskal's conjecture that his algorithms give the optimal least squares solution of these modified monotone regression problems. We also propose another (third) approach for dealing with ties.Comments by Dr. J. B. Kruskal have been most helpful.     

Justice in Transnational Governance

The small portion of philosophical work on global distributive justice that directly discusses particular agents, institutions or practices in global politics tends to focus on a narrow range of the existing set. The emphasis is chiefly on bilateral diplomacy or intergovernmental organisations, to the neglect of a variety of more recent forms of transnational governance, many of which incorporate non‐state actors, have more limited membership, involve informal and dynamic structures, employ cooperative and reflexive methods for ensuring compliance, and operate largely out of the public eye. This article considers how philosophers should conceive of distributive justice in relation to these neglected sites of transnational governance, using the International Organization for Standardization (ISO) as an illustration.