Per-capita GDP and nonequilibrium wealth-concentration in a model for trade

4th National Meeting in Chaos, Complex System and Time Series

Moukarzel, Cristian F.^1

CINVESTAV Del IPN, Depto. de Física Aplicada, 97310 Mérida, Yucatán, Mexico^1

关键词: Condensed phase;    Endogenous factors;    Exchange models;    Gross domestic products;    International trade rules;    Non equilibrium;    Per capita;    Yard-sale;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/475/1/012011/pdf
DOI  :  10.1088/1742-6596/475/1/012011

来源: IOP

【 摘 要 】

Data describing the per-capita Gross Domestic Product of around two hundred countries in years 1960 to 2008 are analyzed and found to decay approximately exponentially with rank. We discuss this experimental fact in the context of a wealth exchange model called Yard-Sale exchange, in which pairs of agents (i.e. nations) 'bet' for a fraction f of the wealth of the poorest of them. If the chances for this poorest agent to win the bet are not large enough, this model presents a 'wealth condensation' phase, in which one lucky agent gets to own the whole wealth in the end. In a recent study of this model [1], it was found that, in the condensed phase, the typical wealth of an agent with rank R decays exponentially with R. By establishing a parallel between wealth of a nation and its per-capita GDP, these observations suggest that international trade rules are such that strong wealth concentration is favored. Possible extensions of this work, that also consider endogenous factors affecting the evolution of GDP, are also discussed.