Exploitation, inequality and power

Power Relations, Inequality and Poverty

Multimode quantum entropy power inequality

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. The quantum version of a fundamental entropic data-processing inequality is presented. It establishes a lower bound...

Inequality , Market Power , and Product Diversity

We analyze a macroeconomic model of monopolistic competition in which consumers earn unequal incomes. When preferences are non-homothetic, the distribution of income affects equilibrium mark-ups and equilibrium product diversity. Inequality, Market Power, and Product Diversity Reto Foellmi, University of Zurich Josef Zweimüller, University of Zurich, CESifo, IZA, and CEPR∗†

Variants of Entropy Power Inequality

An extension of the entropy power inequality to the form N r (X +Y ) ≥ N r (X) +N r (Y ) with arbitrary independent summands X and Y in R is obtained for the Rényi entropy and powers α ≥ (r + 1)/2.

Rényi entropy power inequality and a reverse

This paper is twofold. In the first part, we derive an improvement of the Rényi Entropy Power Inequality (EPI) recently obtained by Bobkov and Marsiglietti [10]. The proof largely follows Lieb’s [22] approach of employing Young’s inequality. In the second part, we prove a reverse Rényi EPI, that verifies a conjecture proposed in [4, 23] in two cases. Connections with various p-th mean bodies in...