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Modeling Language Evolution
Authors:Felipe Cucker  Steve Smale and Ding-Xuan Zhou
Institution:(1) Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;(2) Toyota Technological Institute at Chicago, 1427 East 60th Street, Chicago, IL 60637, USA;(3) Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong
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.
Keywords:Language evolution  Learning theory
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