Using group and majorization theory, we explore what can be established about allocation of funds among assets when asymmetries in the returns vector are carefully controlled. The key insight is that preferences over allocations can be partially ordered via majorized convex hulls that have been...

Taking location as given, we study imperfect competition on a circular city. In Bertrand oligopoly, we identify price harmonics as a function of firm unit costs and locations. The sum of oligopoly profits is larger when costs and/or locations are more dispersed in the [`]dihedral majorization'...

This research studies the role of multivariate distribution structure on random asset returns in determining the optimal allocation vector for an expected utility maximizing agent. By carefully disturbing symmetry in the distribution of the, possibly covarying, returns, we ascertain the ordinal...

For a homogeneous good, this article studies firm-level production activities when the firm controls a plural number of plants. Through careful construction of cost function technology asymmetries, we inquire into the ordinal structure of the production vector for multiplant cost minimizers....

Model invariances have been used extensively to understand welfare and conduct consequences of firm heterogeneity in a one-product Cournot oligopoly. Nothing is known about the richer and more realistic context of firm heterogeneity in multi-product Cournot oligopoly. In this note, welfare in a...

Diversification, a central issue in the study of capital allocation, has much to do with symmetries and asymmetries in the distribution of asset returns. A diversified portfolio imposes symmetry on the allocation vector in order to balance out much of the asymmetries in the returns vector. Using...