Society often allocates valuable resources such as prestigious positions, salaries, or marriage partners via tournament-like institutions. In such situations, inequality affects incentives to compete and hence has a direct impact on equilibrium choices and hence material outcomes. We introduce a new distinction between inequality in initial endowments (e.g. ability, inherited wealth) and inequa...

In this paper, we prove an inequality, which we call " Devroye inequality " , for a large class of non-uniformly hyperbolic dynamical systems (M, f). This class, introduced by L.-S. Young, includes families of piece-wise hyperbolic maps (Lozi-like maps), scattering billiards (e.g., planar Lorentz gas), unimodal and Hénon-like maps. Devroye inequality provides an upper bound for the variance of ...