This text introduces current evolutionary game theory where ideas from evolutionary biology and rationalistic economics meet - emphasizing the links between static and dynamic approaches and non-cooperative game theory. Much of the text is devoted to the key concepts of evolutionary stability and replicator dynamics. The former highlights the role of mutations and the latter the mechanisms of selection. Moreover, set-valued static and dynamic stability concepts, as well as processes of social evolution, are discussed. Separate background chapters are devoted to non-cooperative game theory and the theory of ordinary differential equations. There are examples throughout as well as individual chapter summaries.
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