skills and hierarchical or spatial structures might preclude individuals from accessing to the most useful sources of social information, among others.

The aim of this work is to develop a more general mathematical model of knowledge evolution by relaxing hypotheses and incorporating more realistic forms of social interaction dynamics, such as those taking place in hierarchically or spatially structured populations.

Outline of the paper
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In this work, we develop a new mathematical model that aims to describe the dynamics of knowledge creation and propagation among interacting individuals. The model is properly introduced and simple applications are given in Section \[sec:modelPres\]. In Section \[sec:mathRes\], we study some of the mathematical properties of the model, and establish theoretical, quantitative results in a simplified case describing the evolution of knowledge among interacting individuals. [Finally, we develop a numerical method to simulate our model in Section \[sec:numRes\]. This method allows us to run numerical analyses of the model in cases where we do not have analytical results and to present numerical illustrations of the classical model of [@CuckerSmale2004] on the evolution on language, which is contained in our model.]{}

Acknowledgments {#acknowledgments .unnumbered}
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TR would like to thanks Mylène Maida for useful discussions 