4 papers
Variational principles on the space of Lorenz curves: Gradient structures and isometries inspired by Wasserstein geometry
David W. Cohen
We motivate and derive novel Riemannian gradient structures on the space of Lorenz curves, which preserve infinite-dimensional variational principles inherited from Fokker-Planck e…
A gradient flow perspective on McKean-Vlasov equations in econophysics
David W. Cohen
We prove that the Gini coefficient of economic inequality is a Lyapunov functional for a class of nonlinear, nonlocal integro-differential equations arising at the intersection of…
A Dynamical Equation for the Lorenz Curve: Dynamics of incomplete moments of probability distributions arising from Fokker-Planck equations
David W. Cohen, Merek Johnson, Bruce M. Boghosian
Fokker-Planck equations (forward Kolmogorov equations) evolve probability densities in time from an initial condition. For distributions over the real line, these evolution equatio…
Bounding the approach to oligarchy in a variant of the yard-sale model
David W. Cohen, Bruce M. Boghosian
We present analytical results for the Gini coefficient of economic inequality under the dynamics of a modified Yard-Sale Model of kinetic asset exchange. A variant of the Yard-Sale…