Evolutionary Game TheoryThis text introduces current evolutionary game theory  where ideas from evolutionary biology and rationalistic economics meet  emphasizing the links between static and dynamic approaches and noncooperative 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, setvalued static and dynamic stability concepts, as well as processes of social evolution, are discussed. Separate background chapters are devoted to noncooperative game theory and the theory of ordinary differential equations. There are examples throughout as well as individual chapter summaries. Because evolutionary game theory is a fastmoving field that is itself branching out and rapidly evolving, J rgen Weibull has judiciously focused on clarifying and explaining core elements of the theory in an uptodate, comprehensive, and selfcontained treatment. The result is a text for secondyear graduate students in economic theory, other social sciences, and evolutionary biology. The book goes beyond filling the gap between texts by MaynardSmith and Hofbauer and Sigmund that are currently being used in the field. Evolutionary Game Theory will also serve as an introduction for those embarking on research in this area as well as a reference for those already familiar with the field. Weibull provides an overview of the developments that have taken place in this branch of game theory, discusses the mathematical tools needed to understand the area, describes both the motivation and intuition for the concepts involved, and explains why and how it is relevant to economics. 
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LibraryThing Review
User Review  PaolaM  LibraryThingA very good textbook on evolutionary game theory, at graduate level (i.e. European Master of first year of PhD/graduate school). It is crystal clear, written by one of the major contributors to this area of game theory. Suitable for self study. Read full review
Contents
Elements of Noncooperative Game Theory  1 
Evolutionary Stability Criteria  33 
The Replicator Dynamics  69 
Other Selection Dynamics  121 
Mult population Models  163 
Elements of the Theory of Ordinary Differential Equations  229 
255  
261  