Modeling Language Evolution

Authors:
Felipe Cucker;Steve Smale;Ding-Xuan Zhou
Affiliations:
Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;Toyota Technological Institute at Chicago, 1427 East 60th Street, Chicago, IL 60637, USA;Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong
Venue:
Foundations of Computational Mathematics
Year:
2004

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Abstract

We describe a model for the evolution of the languages used by the agents of a society. Our main result proves convergence of these languages to a common one under certain conditions. A few special cases are elaborated in more depth.