Inequality and Quasi-Concavity

Income inequality, quasi-concavity, and gradual population shifts

An income distribution is a mixture of two given income distributions if the relative frequency it associates with each income level is a convex combination of the relative frequencies associated with it by the given two income distributions— e.g., the income distribution of a country is obtained as a mixture of the income distributions of its regions. In this article, it is established that al...

Online Appendix: Preservation of Quasi-K-Concavity and Its Applications

Preservation of Quasi-K-Concavity and Its Applications

In this paper, we establish a new preservation property of quasi-K-concavity under certain optimization operations. One important application of the result is to analyze joint inventory-pricing models for single-product periodic-review inventory systems with concave ordering costs. At each period, an ordering quantity and a selling price of the product are determined simultaneously. Demand is r...

Uniform quasi-concavity in probabilistic constrained stochastic programming

A probabilistic constrained stochastic programming problem is considered, where the underlying problem has linear constraints with random technology matrix. The rows of the matrix are assumed to be stochastically independent and normally distributed. For the convexity of the problem the quasi-concavity of the constraining function is needed that is ensured if the factors are uniformly quasiconc...

A Quasi-variational Inequality Problem in Superconductivity

We derive a class of analytical solutions and a dual formulation of a scalar two-space-dimensional quasi-variational inequality problem in applied superconductivity. We approximate this formulation by a fully practical ̄nite element method based on the lowest order Raviart Thomas element, which yields approximations to both the primal and dual variables (the magnetic and electric ̄elds). We prove...