An \(H\) theorem for Boltzmann's equation for the yard-sale model of asset exchange. The Gini coefficient as an \(H\) functional

DOI10.1007/S10955-015-1316-8zbMath1332.35252arXiv1412.7227OpenAlexW1768425001WikidataQ59412587 ScholiaQ59412587MaRDI QIDQ261935

Bruce M. Boghosian, Merek Johnson, Jeremy A. Marcq

Publication date: 29 March 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7227

zbMATH Keywords

Boltzmann equation Gini coefficient Pareto distribution \(H\) theorem asset exchange model yard-sale model

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)

Related Items (10)

A simple probabilistic approach of the yard-sale model ⋮ Oligarchy as a phase transition: the effect of wealth-attained advantage in a Fokker-Planck description of asset exchange ⋮ The impact of randomness on the distribution of wealth: some economic aspects of the Wright-Fisher diffusion process ⋮ Duality in an asset exchange model for wealth distribution ⋮ The affine wealth model: an agent-based model of asset exchange that allows for negative-wealth agents and its empirical validation ⋮ Derivation of wealth distributions from biased exchange of money ⋮ Explicit decay rate for the Gini index in the repeated averaging model ⋮ A Nonstandard Description of Wealth Concentration in Large-Scale Economies ⋮ Wealth concentration in systems with unbiased binary exchanges ⋮ The Nonuniversality of Wealth Distribution Tails Near Wealth Condensation Criticality

Cites Work

Functional Bregman Divergence and Bayesian Estimation of Distributions

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