AbstractThe connection between changes in commodity prices and the distribution of income is a question of active interest since the 1941 Stolper‐Samuelson Theorem. In higher dimensions results are obtained only if structure is imposed. Here we assume that each of n‐industries is alike in the shape of the profile (rib) of distributive factor shares with a permutation of factor numbering such that industrynis most intensive in factorn.Such a structure reveals either a strong version of the Stolper Samuelson Theorem or a Neighborhood oscillation pattern depending on the shape of the share r