Concavity of Utility, Concavity of Welfare, and Redistribution of Income

Concavity of Utility, Concavity of Welfare, and Redistribution of Income

The marginal social value of income redistribution is understood to depend on both the concavity of individuals’ utility functions and the concavity of the social welfare function. In the pertinent literatures, notably on optimal income taxation and on normative inequality measurement, it seems to be accepted that the role of these two sources of concavity is symmetric with regard to the social...

Concavity and B-concavity of Solutions of Quasilinear Filtration Equations

Some Results on Convexity and Concavity of Multivariate Copulas

This paper provides some results on different types of convexity and concavity in the class of multivariate copulas. We also study their properties and provide several examples to illustrate our results.

Quantification of Iris Concavity

Rouzbeh Amini1, PhD; Julie E whitcomb2, MS; Tiago S Prata3, MD Syril Dorairaj3, MD; Jeffrey M Liebmann3,4, MD; Robert Ritch3,5, MD; Victor H Barocas1, PhD 1Department of Biomedical Engineering, University of Minnesota, Minneapolis, Minnesota, USA 2Department of Mechanical Engineering, University of Minnesota, Minneapolis, Minnesota, USA 3Einhorn Clinical Research Center, New York Eye and Ear In...

Inductive concavity

Sagan, B.E., Inductive proofs of q-log concavity, Discrete Mathematics 99 (1992) 289-306. We give inductive proofs of q-log concavity for the Gaussian polynomials and the q-Stirling numbers of both kinds. Similar techniques are applied to show that certain sequences of elementary and complete symmetric functions are q-log concave.