I prepared these notes (in Russian) to test my students. This is a very short account of evolutionary game theory and applications of the replicator equation. There are wonderful books in English (see the references in the text) of any level of details, mathematical sophistication and complexity, however, I am not aware of any readable accounts of these subjects in Russian.

Any comments and suggestions are welcome.

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## About Artem Novozhilov

I am an applied mathematician interested in studying various evolutionary processes by means of mathematical models. More on my professional activities can be found on my page
https://www.ndsu.edu/pubweb/~novozhil/