We propose in this article a quick introduction to the evolutionary analysis of complex economic dynamics. When
we look at the economic dynamics as resulting from the workings of a Complex Adaptive System (CAS), our attention necessarily focuses on new questions, and our analytical
efforts need the development of new modeling methods. After having quickly discussed the properties of CAS in Economics, the article illustrates them more in detail using the
example of industrial dynamics where this approach has historically been developed first. This discussion is followed by an introduction to the main methods used for analyzing
CAS, and develops an example model of industry dynamics (Nelson & Winter 1892, part V). We also give an analytically organized bibliography to provide the reader with an entry point to an already very large literature.