Titre :

Convergence of knowledge in a stochastic cultural evolution model with population structure, social learning and credibility biases

Auteur(s) :

Billiard, Sylvain [Auteur]
Évolution, Écologie et Paléontologie (Evo-Eco-Paleo) - UMR 8198 [Evo-Eco-Paléo (EEP)]
Derex, Maxime [Auteur]
Toulouse School of Economics [TSE-R]
Maisonneuve, Ludovic [Auteur]
Institut de Systématique, Evolution, Biodiversité [ISYEB]
Rey, Thomas [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]

Titre de la revue :

Mathematical Models and Methods in Applied Sciences

Pagination :

2691-2723

Éditeur :

World Scientific Publishing

Date de publication :

2020-12-07

ISSN :

0218-2025

Mot(s)-clé(s) en anglais :

language evolution
inhomogeneous Markov chains
concentration inequalities
numerical simulations
convergence to equilibrium
Individual based model
cultural evolution
cumulative culture

Discipline(s) HAL :

Mathématiques [math]/Probabilités [math.PR]
Sciences de l'Homme et Société/Anthropologie sociale et ethnologie

Résumé en anglais : [en]

Understanding how knowledge is created and propagates within groups is crucial to explain how human populations have evolved through time. Anthropologists have relied on different theoretical models to address this question. ...
Lire la suite >Understanding how knowledge is created and propagates within groups is crucial to explain how human populations have evolved through time. Anthropologists have relied on different theoretical models to address this question. In this work, we introduce a mathematically oriented model that shares properties with individual based approaches, inhomogeneous Markov chains and learning algorithms, such as those introduced in [F. Cucker, S. Smale, Bull. Amer. Math. Soc, 39 (1), 2002] and [F. Cucker, S. Smale and D. X Zhou, Found. Comput. Math., 2004]. After deriving the model, we study some of its mathematical properties, and establish theoretical and quantitative results in a simplified case. Finally, we run numerical simulations to illustrate some properties of the model.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Modèles multi-échelles et simulation numérique hybride de semi-conducteurs
Centre Européen pour les Mathématiques, la Physique et leurs Interactions
Institut for Advanced Study in Toulouse

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL