A copula is a means of generating an n-variate distribution function from an arbitrary set of n univariate distributions. For the class of portfolio allocators that are risk averse, we use the copula approach to identify a large set of n -variate asset return distributions such that the relative...

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...

Producers are subject to similar production risks, and so their outputs are likely correlated. Using the entire data-set rather than summary statistics, we study an ordinal definition of systematic risk. For risk-neutral producers in perfect competition, we trace the effects of an increase in...