The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process

Abstract : In this paper we consider some elementary and fair zero-sum games of chance to study the impact of random effects on the wealth distribution of N interacting players. Even if an exhaustive analytical study of such games between many players may be tricky, numerical experiments highlight interesting asymptotic properties. From a mathematical perspective, we interestingly recover for small and high-frequency transactions some diffusion limits extensively used in population genetics. Finally, the impact of small tax rates on the preceding dynamics is discussed for several regulation mechanisms.
Type de document :
Article dans une revue
Liste complète des métadonnées


https://hal.archives-ouvertes.fr/hal-01138383
Contributeur : Christophe Chorro <>
Soumis le : mercredi 6 juillet 2016 - 16:00:29
Dernière modification le : mardi 25 juillet 2017 - 15:28:40

Fichier

bouleau-chorro_summer_2016.pdf
Fichiers produits par l'(les) auteur(s)

Licence


Copyright (Tous droits réservés)

Identifiants

Citation

Nicolas Bouleau, Christophe Chorro. The impact of randomness on the distribution of wealth: Some economic aspects of the Wright-Fisher diffusion process. Physica A, Elsevier, 2017, 479, pp.379-395. <http://www.sciencedirect.com/science/article/pii/S0378437117302340?via%3Dihub>. <10.1016/j.physa.2017.03.017>. <hal-01138383v2>

Partager

Métriques

Consultations de
la notice

266

Téléchargements du document

61